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NTEGRA Spectra: Solar Cell Diagnostics




     Solar Cell Diagnostics by Combination of
Kelvin Force Microscopy with Local Photoexitation
                                                   A. V. Ankudinov,
                         Ioffe Physical-Technical Institute of the Russian Academy of Science
                   National Research University of Information Technologies, Mechanics and Optics

INTRODUCTION
  The Sun is an abundant, easily accessible power
source that is currently underutilized, will possibly               Ga0.99In0.01As-n
                                                                                     +
                                                                                              500 nm
become the no-alternative choice for electrical power               Al0.51In0.49P-n            30 nm
of humankind [1]. It is believed that the most                      Ga0.51In0.49P-n            50 nm
                                                               3
                                                                    Ga0.51In0.49P-p           680 nm
promising way to convert solar power is by the
                                                                    Al0.25Ga0.25In0.5P-p       50 nm
photoelectric method used in solar cells (SCs) [2]. The             Al0.4Ga0.6As-p++           15 nm
energy program of the European Union envisions that                 GaAs-n++                   15 nm
no less than 3 % of electric power will be provided                 Al0.51In0.49P-n            30 nm
                                                                    Ga0.51In0.49P-n           100 nm
from solar installations by 2020 [3]. In the United
                                                                    Ga0.99In0.01As-n          100 nm
States, the Solar America Initiative program                   2
                                                                    Ga0.99In0.01As-p       ~ 2500 nm
anticipates that the volume of the "photovoltaic"                   Ga0.51In0.49P-p           100 nm
market will already be $5-10 billion by 2015, with an               Al0.25Ga0.25In0.5P-p       30 nm
increase to $20-30 billion by 2030 [4]. Interestingly, the          Al0.4Ga0.6As-p++           30 nm
                                                                              ++
                                                                    GaAs-n                     30 nm
factor hindering more intense development of the SC                 Al0.53In0.47P-n            50 nm
market is the high cost per Megawatt of produced                    Ga0.99In0.01As-n         1000 nm
electricity, rather than the energy conversion                      Ga0.53In0.47P-n           100 nm
efficiency of SCs.                                                  Ge-substrate (n doped)  ~ 300 nm
                                                               1
                                                                    Ge-substrate (p doped)
FORMULATION OF THE PROBLEM
                                                                   Fig.1.
  At present, the highest efficiencies, some exceeding             Schematic of an MJ SC with three subcells.
40%, are exhibited by multijunction (MJ) SCs based on              Designations: various tints of pink, p-type layers
semiconductor nanoheterostructures [5]. MJ SCs                     of the heterostructure; light blue tints, n-type layers;
                                                                   and yellow, highly conducting layers of tunnel diodes
consist of several subcells with p-n junctions and                 and contact layers. The digits show the p-n junctions
barrier layers of various semiconductor materials.                 in the subcells based on (1) Ge, (2) GaAs, and (3) GaInP2.
These subcells are arranged in order of decreasing
energy bandgaps from the photosensitive surface to           efficiencies. It is, however, important to note that the
the substrate, being linked by oppositely connected          most inefficient subcell determines the overall
tunnel diodes.                                               efficiency of an MJ SC. Diagnostics of the constituent
  Each subcell converts into electricity the energy of       layers of such a composite device is commonly made
the short-wavelength part of the incident spectrum           using indirect, integral measurement techniques and
and transmits its long-wavelength part to the next           mathematical simulation (see, e. g., [6]). Information
subcell. Thus, the energy of the whole solar spectrum        obtained this way is not always unambiguous because
is segmented and collected, resulting in high                it requires the solution of multivariate inverse




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NTEGRA Spectra: Solar Cell Diagnostics




   a)                                                                           b)
                            Ge                   GaAs GaInP2                                      100x
                                                                                                high NA
                                                                                                objective

                                                                                                                    Electrical AFM probe




                                       1                      2 3
                                                                                        Multi-junction solar cell


                 c)                                                d)

                                       cantilever                                       cantilever




  Fig. 2.
  (a) Schematic of layers in an MJ SC with the same color designations as those in Fig. 1. The three p-n junctions are shown by arrows.
  (b) Schematic of experiment. Optical micrographs of the edge of the cleaved surface of a SC during a KPFM experiment
  under focused photoexcitation of (c) the p-n junction in Ge with a blue laser (473 nm) and (d) p-n junction in GaAs with a red laser
  (785 nm). Latin numerals designate: (I) Ge substrate, (II) III-V layers (GaAs and GaInP ), (III) free space,and (IV) KPFMcantilever.
  The optical microscope is focused on the Ge substrate in Fig. 2c,and on the III-V layers in Fig. 2d.


problems. An unambiguous determination of the                           position of a laser excitation source. According to
weakest segment will likely require separate                            the schematic of the layers in Fig. 1, the distance
monitoring of the operation of all the constituent                      between the p-n junctions of neighboring subcells
subcells. (From the standpoint of circuitry, it is                      based on GaAs and GaInP2 is shorter than a
necessary to find the least efficient element in a set of               micrometer. The monitoring of the response,
series-connected photodiodes).                                          surface potential variation, of a separate subcell
                                                                        was enabled by focusing the excitation laser into a
EXPERIMENTAL RESULTS AND DISCUSSION                                     submicrometer spot. An objective with a numerical
  Below is considered an example of how the NTEGRA
                                                                        aperture of 0.7 and resolving power of 400 nm,
Spectra «AFM – confocal – Raman – fluorescence»
                                                                        was used in the confocal laser microscope
Probe NanoLaboratory (PNL) is used to study MJ SCs
                                                                        integrated in the NTEGRA Spectra PNL. An AFM
based on a GaInP2/GaAs/Ge heterostructure with three
                                                                        cantilever is positioned below the objective
p-n junctions. The total number of layers exceeds 20,
                                                                        allowing simultaneous optical excitation and AFM
and individual layers less than 20 nm thick (see Fig. 1).
                                                                        measurements (Fig. 2b). Importantly, the
The method of Kelvin probe force microscopy
                                                                        instrument allows both independent and
(KPFM) was used to measure the surface potential
                                                                        synchronized scanning of laser spot (using piezo-
profile variations of a cross-section-cleaved SC in
                                                                        driven mirror) and the sample (using a sample
relation to the intensity, wavelength, and beam
                                                                        piezo-scanner). Figures 2c and 2d show optical



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NTEGRA Spectra: Solar Cell Diagnostics




micrographs of cleaved surfaces of an MJ SC during an         (a)
experiment. Near the edge of cleaved surfaces, spots
of light from blue and red lasers focused on the p-n
junctions can be seen in the subcells of Ge and GaAs,
respectively.
   A topographic image and a map of the contact
potential difference signal in the region in which the
main MJ SC layers are located is shown in Fig. 3. The
left half of the topographic image in Fig. 3a shows a
                                                              (b)
sharp change in the surface topology. In this region,
the smooth relief of the Ge substrate (situated on the
left) abruptly changes to the striated topology of the
III-V layers. The significant difference between the
topographies of Ge and III-V layers is also seen in the
optical micrographs in Figs. 2b and 2c. Crystals of III--V
materials are easily cleaved to form perfectly planar
and atomically smooth surface, but only along {110}           (c)
basal planes. This intrinsic property is, for example,
used in the fabrication of mirrors for injection lasers
based on III-V compounds [7]. Crystals of Ge (and also
Si) preferentially cleave along different crystal planes.                                1                       2    3
The Ge substrate is two orders of magnitude thicker
                                                               Fig. 3. KPFM study of the cleaved surface of an MJ SC in
than all the other layers in the MJ SC, and therefore,
                                                               the dark. During measurements both contacts to the MJ SC
cleavage propagation directions are predominantly              were grounded. (a) Topographic image of the cleaved surface
based on the substrate. The cleaved Ge surface is              profile, measured in semi-contact mode (the color-scale
                                                               contrast spans the height variations of 0.85 µm).
significantly non-coincident with the basal plane of III-
                                                               (b) Map of the CPD signal measured in the second pass
V layers. It is this lack of coincidence that leads to the     in the absence of an external photoexcitation (the color-scale
formation of the strongly visible stepped topography           contrast spans the CPD variations of 1.05 V).
                                                               (c) Smoothed equilibrium profile of the built-in potential
on the cleaved surface of III-V layers.
                                                               (from model). Schematic of the layers: arrows with digits
   The map of the contact potential difference (CPD) in        show the p-n junction positions in the subcells (see also color
Fig. 3b shows features in good agreement with the              designations in Fig. 1). Measurement parameters: AFM
                                                               laser with a wavelength of 650 nm used in the system
expected built-in potential differences in the bulk
                                                               for cantilever deflection detection, noncontact VIT_P probe,
heterostructure under full darkness conditions. The            resonance at 257 kHz, surface potential signal was measured
model profile of the built-in potential is shown in Fig.       at 100 nm lift height and Uac=2 V.
3c above the schematic of layers of the
heterostructure. The small potential drops across thin       Fig. 3b. The light band region corresponds to well-
tunnel-transparent layers are disregarded and the            doped transition layers between Ge and the GaAs
simulation describes a smoothed variation of the             subcell. These discrepancies occur because the surface
potential. The CPD map, however, shows that near the         potential of the semiconductor structure differs from
p-n junction on the surface of the GaAs subcell, there       the potential in the bulk by the amount of near-
is only a subsequent decrease in the CPD signal              surface band bending, which is not known for an
instead of the expected peak (see Fig. 3c). The              arbitrarily cleaved sample. The best agreement
variation of the built-in potential, see Fig. 3c marker 1,   between the results of simulation and the
is not observed the light band region in the image in        experimental data can be achieved by studying




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NTEGRA Spectra: Solar Cell Diagnostics




distributions of the external voltage applied to            the laser wavelength, and NA = 0.7 is the numerical
contacts of the structure [8,9] and surface                 aperture of the objective. The surface photovoltage
photovoltage (SPV) distributions [10]. Below, the           profile was determined by the difference of CPD
second case is analyzed in more detail.                     values measured under photoexcitation and in the
  When the semiconductor surface is exposed to light        dark. The simulation process, as described in the
with a photon energy exceeding the energy bandgap           preceding paragraph, was performed with the
of the material, the separation of photocarriers by the     following conditions; the contacts to the MJ SC are
near-surface field results in minority carriers emerging    shorted,the photovoltage appearing in the bulk of a
at the surface, which makes the band bending smaller        p-n junction exposed to light is distributed among the
[11]. This mechanism is operative for semiconductors        barriers of two nonilluminated p-n junctions. For
with surfaces depleted of majority carriers, in which       simplicity, the capacitances of these two junctions are
the surface photovoltage has the opposite sign to that      considered to be equivalent. The light from the blue
of majority carriers. In a complex structure,               laser is absorbed by all layers in the MJ SC and light
photocarriers can be separated not only in the near-        from the red laser is not absorbed by the wide-
surface field, but also in the bulk due to the field of     bandgap GaInP2 layers. The photoexcitation intensity
built-in barriers. For example, it is possible to predict   gradually decreases away from the focusing region.
changes in the surface potential upon illumination of         In the experimental photovoltage profiles, the
a single p-n junction. Because of the photocarrier          arrows show a dip in Fig. 4b and a peak in Fig. 4c. The
separation in the near-surface field, the p side is         simulation also predicts these specific features. The
charged negatively, and the n side positively. By           mechanism of their appearance is discussed in more
contrast, the separation of photocarriers in bulk           detail below. The GaAs subcell is insulated from the
material from the field of the p-n junction charges the     contacts to the MJ SC by the potential barriers at the
p side positively, and the n side negatively. If, for       p-n junctions of the neighboring subcells. If it is
example, the number of photocarriers separated in           exposed to blue light, separation of photocarriers in
the field of the p-n junction exceed those separated in     the field of the p-n junction results in electrons
the near-surface field, then the surface photovoltage       ejected into the n layers of this subcell. For this reason,
will decrease, passing from the p side to the n side. If    a negative potential appears in the bulk of these n
the contacts to the p and n sides are shorted, then the     layers and in the p layers of the GaInP2 subcell.
contribution from the bulk separation is eliminated,        Because of the photocarrier separation in the near-
and the surface photovoltage will increase upon such        surface field, the surface of the p layers is also
a transition. Qualitatively, the photovoltage profile can   negatively charged relative to the bulk. The joint effect
be simulated in the same way in more complex                of both processes forms a deep dip in the surface
compound structures, such as MJ SCs.                        photovoltage profile when it passes across the p layers
  Figure 4 shows two sets of simulated and measured         of the GaInP2 subcell, as seen in Fig. 4b. If blue light is
photovoltage profiles from a cleaved surface in             replaced with red light, no photocarriers are
alternate photoexcitation of p-n junctions in three         generated in the wide-bandgap GaInP2 layers. As a
subcells of MJ SCs. The first set, Figs. 4a-4c, was         result, the dip should be less pronounced, which is
obtained with blue laser excitation (wavelength             indeed observed in Fig. 4e. When the GaInP2 subcell is
l = 473 nm), and the second, Figs. 4d-4f, with red laser    exposed to blue light, a positive potential appears in
excitation ( l = 785 nm). The photoexcitation densities     the bulk of its p layers and is transferred to the n layers
were approximately the same in both cases,                  of the GaAs subcell. The photoeffect at the surface of
2-3 mW/µm2. The focal spot diameter D was calculated        the n layers is also positive, and a peak corresponding
using the Rayleigh criterion D = 1.22 l/NA, where l is      to these layers appears in the photovoltage profile




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NTEGRA Spectra: Solar Cell Diagnostics




                         1                    2   3                                                 1                     2   3
Fig. 4. Comparison of experimental and simulated data. (a-c) Photoexcitation with laser light (l = 473 nm) focused
on the p-n junctions in (a) Ge, (b) GaAs, and (c) GaInP2. (d-f) Photoexcitation with laser light (l = 785 nm) focused
on the p-n junctions in (d) Ge, (e) GaAs, and (f) GaInP2. Designations: SPV, experimental surface photovoltage profile.
A simulated profile is also given above each plot. Below, under all the plots are shown schematics of layers in MJ SCs
(with the same color designations as those in Figs. 1-3).omparison of the experimental and simulated data.
(a-c) Photoexcitation with laser light (l = 473 nm) focused.




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NTEGRA Spectra: Solar Cell Diagnostics




(Fig. 4c). These considerations are helpful in the         ACNOWLEDGMENTS
qualitative explanation of the shape of all of the           The author is grateful to his colleagues at the Ioffe
profile curves                                             Institute: V. M. Lantratov for the MJ SC samples he
                                                           provided, A. S. Gudovskikh for assistance in simulating
CONCLUSIONS                                                the built-in potential profile in a sample, and
 The study of a solar cell with three subcells based on    M. S. Dunaevskiy for helpful remarks on presentation of
Ge, GaAs, and GaInP2 in a NTEGRA Spectra PNL               the results. Many thanks for skillful measurements to
demonstrated that operation of each subcell could be       Artem Shelaev and Pavel Dorozhkin from NT-MDT.
separately monitored. The experimental surface-
photovoltage profiles obtained are in good                 References:
agreement with results of the qualitative simulation.      [1] Zh. I. Alferov, V. M. Andreev and V. D. Rumyantsev. Solar
                                                           photovoltaics: Trends and prospects. Semiconductors, 38(8), pp. 899-
The agreement between the simulation results and
                                                           908 (2004)
experimental data also indicates that there are no         [2] S. M. Sze. Kwo K. Ng. Physics of semiconductor devices. Chapter 13.
parasitic barriers in the multijunction solar cell under   Photodetectors and Solar Cells. Third eition. Wiley, N.Y. (2007).
study for the chosen photoexcitation densities.            [3] http://www.eupvplatform.org/publications/strategic-research-
                                                           agenda-implementation-plan.html#c2643
  It should be noted that the NTEGRA Spectra PNL,
                                                           [4] http://www.eere.energy.gov/solar/solar_america
integrating AFM with confocal optical spectroscopy         [5] Karam N. H., Sherif R. A. and King R. R. //Springer Ser. In Opt. Sci.
techniques, offers a substantially broader set of          2007 Vol.130 .P.199–219.
capabilities for solar cell diagnostics than that          [6] S. A. Mintairov, V. M. Andreev, V. M. Emelyanov, N. A. Kalyuzhnyy and
                                                           N. K. Timoshina, M. Z. Shwarz, V. M. Lantratov. Study of minority carrier
considered in the present communication. The
                                                           diffusion lengths in photoactive layers of multijunction solar cells.
NTEGRA Spectra PNL provides the following                  Semiconductors 44(8), pp. 1084-1089 (2010).
measurement techniques with submicrometer and              [7] C. Casey, Jr. and M. B. Panish, Heterostructure Lasers, Academic
nanometer spatial resolution: surface topography;          Press, 1978.
                                                           [8] S. B. Kuntze, D. Ban, E. H. Sargent, St. J. Dixon-Warren, J. K. Whiteand,
local conductivity; variations of potentials and
                                                           K. Hinzer. Electrical Scanning Probe Microscopy: Investigating the Inner
charges, built-in or induced by external bias or           Workings of Electronic and Optoelectronic Devices. Critical Reviews in
photoexcitation; evaluation of compositional               Solid State and Materials Sciences, 30, 71–124, 2005.
homogeneity and material defects; spatial and              [9] A. V. Ankudinov, V. P. Evtikhiev, E. Yu. Kotelnikov, A. N. Titkov and
                                                           R. Laiho. Voltage distributions and nonoptical catastrophic mirror
spectral variations of transmittance, reflectance, and
                                                           degradation in high power InGaAs/AlGaAs/GaAs lasers studied by
other optical properties; localization of nonradiative     Kelvin probe force microscopy. J. Appl. Phys. 93, 432-438 (2003).
recombination regions; monitoring of p-n junction          [10] D. K. Schroder. Surface voltage and surface photovoltage: history,
positions; monitoring of heterointerface transitions;      theory and applications. Meas. Sci. Technol. 12, R16–R31 (2001).
                                                           [11] L. Kronik, Y. Shapira. Surface photovoltage phenomena: theory,
and mapping of mechanical stresses. All of these
                                                           experiment, and applications. Surface Science Reports 37, 1-206 (1999).
measurement scan be used to optimize the solar cell
technology. For example, the internal design of solar
cells can be optimized via correlation of regions
having the maximum photovoltaic conversion
efficiency with data on variation of the chemical
composition, layer thickness, profile, defects, optical
parameters, etc.




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                                                           http://www.ntmdt.com/device/ntegra-spectra
NTEGRA Spectra: Solar Cell Diagnostics




            AFM - Raman - SNOM - TERS
                        NTEGRA Spectra
     Interdisciplinary Research at the Nanometer Scale



                                             100x
                                           high NA
                                           objective

                                                                      100x
                                                                    high NA
                                                                    objective




          Atomic Force Microscopy (>30 modes)
          Confocal Raman / fluorescence microscopy
          Wide-field microscopy
          Scanning near-field optical microscopy (SNOM)
          Tip Enhanced Raman Scattering (TERS) and other
          tip-assisted optical techniques (s-SNOM, TERM etc.)

                        Controlled Environment
Temperature – Humidity – Gases – Liquid – Electrochemical – Magnetic Field



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                                      http://www.ntmdt.com/device/ntegra-spectra

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NTEGRA Spectra: Diagnosing Weak Solar Cell Subcells

  • 1. NTEGRA Spectra: Solar Cell Diagnostics Solar Cell Diagnostics by Combination of Kelvin Force Microscopy with Local Photoexitation A. V. Ankudinov, Ioffe Physical-Technical Institute of the Russian Academy of Science National Research University of Information Technologies, Mechanics and Optics INTRODUCTION The Sun is an abundant, easily accessible power source that is currently underutilized, will possibly Ga0.99In0.01As-n + 500 nm become the no-alternative choice for electrical power Al0.51In0.49P-n 30 nm of humankind [1]. It is believed that the most Ga0.51In0.49P-n 50 nm 3 Ga0.51In0.49P-p 680 nm promising way to convert solar power is by the Al0.25Ga0.25In0.5P-p 50 nm photoelectric method used in solar cells (SCs) [2]. The Al0.4Ga0.6As-p++ 15 nm energy program of the European Union envisions that GaAs-n++ 15 nm no less than 3 % of electric power will be provided Al0.51In0.49P-n 30 nm Ga0.51In0.49P-n 100 nm from solar installations by 2020 [3]. In the United Ga0.99In0.01As-n 100 nm States, the Solar America Initiative program 2 Ga0.99In0.01As-p ~ 2500 nm anticipates that the volume of the "photovoltaic" Ga0.51In0.49P-p 100 nm market will already be $5-10 billion by 2015, with an Al0.25Ga0.25In0.5P-p 30 nm increase to $20-30 billion by 2030 [4]. Interestingly, the Al0.4Ga0.6As-p++ 30 nm ++ GaAs-n 30 nm factor hindering more intense development of the SC Al0.53In0.47P-n 50 nm market is the high cost per Megawatt of produced Ga0.99In0.01As-n 1000 nm electricity, rather than the energy conversion Ga0.53In0.47P-n 100 nm efficiency of SCs. Ge-substrate (n doped) ~ 300 nm 1 Ge-substrate (p doped) FORMULATION OF THE PROBLEM Fig.1. At present, the highest efficiencies, some exceeding Schematic of an MJ SC with three subcells. 40%, are exhibited by multijunction (MJ) SCs based on Designations: various tints of pink, p-type layers semiconductor nanoheterostructures [5]. MJ SCs of the heterostructure; light blue tints, n-type layers; and yellow, highly conducting layers of tunnel diodes consist of several subcells with p-n junctions and and contact layers. The digits show the p-n junctions barrier layers of various semiconductor materials. in the subcells based on (1) Ge, (2) GaAs, and (3) GaInP2. These subcells are arranged in order of decreasing energy bandgaps from the photosensitive surface to efficiencies. It is, however, important to note that the the substrate, being linked by oppositely connected most inefficient subcell determines the overall tunnel diodes. efficiency of an MJ SC. Diagnostics of the constituent Each subcell converts into electricity the energy of layers of such a composite device is commonly made the short-wavelength part of the incident spectrum using indirect, integral measurement techniques and and transmits its long-wavelength part to the next mathematical simulation (see, e. g., [6]). Information subcell. Thus, the energy of the whole solar spectrum obtained this way is not always unambiguous because is segmented and collected, resulting in high it requires the solution of multivariate inverse www.ntmdt.com http://www.ntmdt.com/device/ntegra-spectra
  • 2. NTEGRA Spectra: Solar Cell Diagnostics a) b) Ge GaAs GaInP2 100x high NA objective Electrical AFM probe 1 2 3 Multi-junction solar cell c) d) cantilever cantilever Fig. 2. (a) Schematic of layers in an MJ SC with the same color designations as those in Fig. 1. The three p-n junctions are shown by arrows. (b) Schematic of experiment. Optical micrographs of the edge of the cleaved surface of a SC during a KPFM experiment under focused photoexcitation of (c) the p-n junction in Ge with a blue laser (473 nm) and (d) p-n junction in GaAs with a red laser (785 nm). Latin numerals designate: (I) Ge substrate, (II) III-V layers (GaAs and GaInP ), (III) free space,and (IV) KPFMcantilever. The optical microscope is focused on the Ge substrate in Fig. 2c,and on the III-V layers in Fig. 2d. problems. An unambiguous determination of the position of a laser excitation source. According to weakest segment will likely require separate the schematic of the layers in Fig. 1, the distance monitoring of the operation of all the constituent between the p-n junctions of neighboring subcells subcells. (From the standpoint of circuitry, it is based on GaAs and GaInP2 is shorter than a necessary to find the least efficient element in a set of micrometer. The monitoring of the response, series-connected photodiodes). surface potential variation, of a separate subcell was enabled by focusing the excitation laser into a EXPERIMENTAL RESULTS AND DISCUSSION submicrometer spot. An objective with a numerical Below is considered an example of how the NTEGRA aperture of 0.7 and resolving power of 400 nm, Spectra «AFM – confocal – Raman – fluorescence» was used in the confocal laser microscope Probe NanoLaboratory (PNL) is used to study MJ SCs integrated in the NTEGRA Spectra PNL. An AFM based on a GaInP2/GaAs/Ge heterostructure with three cantilever is positioned below the objective p-n junctions. The total number of layers exceeds 20, allowing simultaneous optical excitation and AFM and individual layers less than 20 nm thick (see Fig. 1). measurements (Fig. 2b). Importantly, the The method of Kelvin probe force microscopy instrument allows both independent and (KPFM) was used to measure the surface potential synchronized scanning of laser spot (using piezo- profile variations of a cross-section-cleaved SC in driven mirror) and the sample (using a sample relation to the intensity, wavelength, and beam piezo-scanner). Figures 2c and 2d show optical www.ntmdt.com http://www.ntmdt.com/device/ntegra-spectra
  • 3. NTEGRA Spectra: Solar Cell Diagnostics micrographs of cleaved surfaces of an MJ SC during an (a) experiment. Near the edge of cleaved surfaces, spots of light from blue and red lasers focused on the p-n junctions can be seen in the subcells of Ge and GaAs, respectively. A topographic image and a map of the contact potential difference signal in the region in which the main MJ SC layers are located is shown in Fig. 3. The left half of the topographic image in Fig. 3a shows a (b) sharp change in the surface topology. In this region, the smooth relief of the Ge substrate (situated on the left) abruptly changes to the striated topology of the III-V layers. The significant difference between the topographies of Ge and III-V layers is also seen in the optical micrographs in Figs. 2b and 2c. Crystals of III--V materials are easily cleaved to form perfectly planar and atomically smooth surface, but only along {110} (c) basal planes. This intrinsic property is, for example, used in the fabrication of mirrors for injection lasers based on III-V compounds [7]. Crystals of Ge (and also Si) preferentially cleave along different crystal planes. 1 2 3 The Ge substrate is two orders of magnitude thicker Fig. 3. KPFM study of the cleaved surface of an MJ SC in than all the other layers in the MJ SC, and therefore, the dark. During measurements both contacts to the MJ SC cleavage propagation directions are predominantly were grounded. (a) Topographic image of the cleaved surface based on the substrate. The cleaved Ge surface is profile, measured in semi-contact mode (the color-scale contrast spans the height variations of 0.85 µm). significantly non-coincident with the basal plane of III- (b) Map of the CPD signal measured in the second pass V layers. It is this lack of coincidence that leads to the in the absence of an external photoexcitation (the color-scale formation of the strongly visible stepped topography contrast spans the CPD variations of 1.05 V). (c) Smoothed equilibrium profile of the built-in potential on the cleaved surface of III-V layers. (from model). Schematic of the layers: arrows with digits The map of the contact potential difference (CPD) in show the p-n junction positions in the subcells (see also color Fig. 3b shows features in good agreement with the designations in Fig. 1). Measurement parameters: AFM laser with a wavelength of 650 nm used in the system expected built-in potential differences in the bulk for cantilever deflection detection, noncontact VIT_P probe, heterostructure under full darkness conditions. The resonance at 257 kHz, surface potential signal was measured model profile of the built-in potential is shown in Fig. at 100 nm lift height and Uac=2 V. 3c above the schematic of layers of the heterostructure. The small potential drops across thin Fig. 3b. The light band region corresponds to well- tunnel-transparent layers are disregarded and the doped transition layers between Ge and the GaAs simulation describes a smoothed variation of the subcell. These discrepancies occur because the surface potential. The CPD map, however, shows that near the potential of the semiconductor structure differs from p-n junction on the surface of the GaAs subcell, there the potential in the bulk by the amount of near- is only a subsequent decrease in the CPD signal surface band bending, which is not known for an instead of the expected peak (see Fig. 3c). The arbitrarily cleaved sample. The best agreement variation of the built-in potential, see Fig. 3c marker 1, between the results of simulation and the is not observed the light band region in the image in experimental data can be achieved by studying www.ntmdt.com http://www.ntmdt.com/device/ntegra-spectra
  • 4. NTEGRA Spectra: Solar Cell Diagnostics distributions of the external voltage applied to the laser wavelength, and NA = 0.7 is the numerical contacts of the structure [8,9] and surface aperture of the objective. The surface photovoltage photovoltage (SPV) distributions [10]. Below, the profile was determined by the difference of CPD second case is analyzed in more detail. values measured under photoexcitation and in the When the semiconductor surface is exposed to light dark. The simulation process, as described in the with a photon energy exceeding the energy bandgap preceding paragraph, was performed with the of the material, the separation of photocarriers by the following conditions; the contacts to the MJ SC are near-surface field results in minority carriers emerging shorted,the photovoltage appearing in the bulk of a at the surface, which makes the band bending smaller p-n junction exposed to light is distributed among the [11]. This mechanism is operative for semiconductors barriers of two nonilluminated p-n junctions. For with surfaces depleted of majority carriers, in which simplicity, the capacitances of these two junctions are the surface photovoltage has the opposite sign to that considered to be equivalent. The light from the blue of majority carriers. In a complex structure, laser is absorbed by all layers in the MJ SC and light photocarriers can be separated not only in the near- from the red laser is not absorbed by the wide- surface field, but also in the bulk due to the field of bandgap GaInP2 layers. The photoexcitation intensity built-in barriers. For example, it is possible to predict gradually decreases away from the focusing region. changes in the surface potential upon illumination of In the experimental photovoltage profiles, the a single p-n junction. Because of the photocarrier arrows show a dip in Fig. 4b and a peak in Fig. 4c. The separation in the near-surface field, the p side is simulation also predicts these specific features. The charged negatively, and the n side positively. By mechanism of their appearance is discussed in more contrast, the separation of photocarriers in bulk detail below. The GaAs subcell is insulated from the material from the field of the p-n junction charges the contacts to the MJ SC by the potential barriers at the p side positively, and the n side negatively. If, for p-n junctions of the neighboring subcells. If it is example, the number of photocarriers separated in exposed to blue light, separation of photocarriers in the field of the p-n junction exceed those separated in the field of the p-n junction results in electrons the near-surface field, then the surface photovoltage ejected into the n layers of this subcell. For this reason, will decrease, passing from the p side to the n side. If a negative potential appears in the bulk of these n the contacts to the p and n sides are shorted, then the layers and in the p layers of the GaInP2 subcell. contribution from the bulk separation is eliminated, Because of the photocarrier separation in the near- and the surface photovoltage will increase upon such surface field, the surface of the p layers is also a transition. Qualitatively, the photovoltage profile can negatively charged relative to the bulk. The joint effect be simulated in the same way in more complex of both processes forms a deep dip in the surface compound structures, such as MJ SCs. photovoltage profile when it passes across the p layers Figure 4 shows two sets of simulated and measured of the GaInP2 subcell, as seen in Fig. 4b. If blue light is photovoltage profiles from a cleaved surface in replaced with red light, no photocarriers are alternate photoexcitation of p-n junctions in three generated in the wide-bandgap GaInP2 layers. As a subcells of MJ SCs. The first set, Figs. 4a-4c, was result, the dip should be less pronounced, which is obtained with blue laser excitation (wavelength indeed observed in Fig. 4e. When the GaInP2 subcell is l = 473 nm), and the second, Figs. 4d-4f, with red laser exposed to blue light, a positive potential appears in excitation ( l = 785 nm). The photoexcitation densities the bulk of its p layers and is transferred to the n layers were approximately the same in both cases, of the GaAs subcell. The photoeffect at the surface of 2-3 mW/µm2. The focal spot diameter D was calculated the n layers is also positive, and a peak corresponding using the Rayleigh criterion D = 1.22 l/NA, where l is to these layers appears in the photovoltage profile www.ntmdt.com http://www.ntmdt.com/device/ntegra-spectra
  • 5. NTEGRA Spectra: Solar Cell Diagnostics 1 2 3 1 2 3 Fig. 4. Comparison of experimental and simulated data. (a-c) Photoexcitation with laser light (l = 473 nm) focused on the p-n junctions in (a) Ge, (b) GaAs, and (c) GaInP2. (d-f) Photoexcitation with laser light (l = 785 nm) focused on the p-n junctions in (d) Ge, (e) GaAs, and (f) GaInP2. Designations: SPV, experimental surface photovoltage profile. A simulated profile is also given above each plot. Below, under all the plots are shown schematics of layers in MJ SCs (with the same color designations as those in Figs. 1-3).omparison of the experimental and simulated data. (a-c) Photoexcitation with laser light (l = 473 nm) focused. www.ntmdt.com http://www.ntmdt.com/device/ntegra-spectra
  • 6. NTEGRA Spectra: Solar Cell Diagnostics (Fig. 4c). These considerations are helpful in the ACNOWLEDGMENTS qualitative explanation of the shape of all of the The author is grateful to his colleagues at the Ioffe profile curves Institute: V. M. Lantratov for the MJ SC samples he provided, A. S. Gudovskikh for assistance in simulating CONCLUSIONS the built-in potential profile in a sample, and The study of a solar cell with three subcells based on M. S. Dunaevskiy for helpful remarks on presentation of Ge, GaAs, and GaInP2 in a NTEGRA Spectra PNL the results. Many thanks for skillful measurements to demonstrated that operation of each subcell could be Artem Shelaev and Pavel Dorozhkin from NT-MDT. separately monitored. The experimental surface- photovoltage profiles obtained are in good References: agreement with results of the qualitative simulation. [1] Zh. I. Alferov, V. M. Andreev and V. D. Rumyantsev. Solar photovoltaics: Trends and prospects. Semiconductors, 38(8), pp. 899- The agreement between the simulation results and 908 (2004) experimental data also indicates that there are no [2] S. M. Sze. Kwo K. Ng. Physics of semiconductor devices. Chapter 13. parasitic barriers in the multijunction solar cell under Photodetectors and Solar Cells. Third eition. Wiley, N.Y. (2007). study for the chosen photoexcitation densities. [3] http://www.eupvplatform.org/publications/strategic-research- agenda-implementation-plan.html#c2643 It should be noted that the NTEGRA Spectra PNL, [4] http://www.eere.energy.gov/solar/solar_america integrating AFM with confocal optical spectroscopy [5] Karam N. H., Sherif R. A. and King R. R. //Springer Ser. In Opt. Sci. techniques, offers a substantially broader set of 2007 Vol.130 .P.199–219. capabilities for solar cell diagnostics than that [6] S. A. Mintairov, V. M. Andreev, V. M. Emelyanov, N. A. Kalyuzhnyy and N. K. Timoshina, M. Z. Shwarz, V. M. Lantratov. Study of minority carrier considered in the present communication. The diffusion lengths in photoactive layers of multijunction solar cells. NTEGRA Spectra PNL provides the following Semiconductors 44(8), pp. 1084-1089 (2010). measurement techniques with submicrometer and [7] C. Casey, Jr. and M. B. Panish, Heterostructure Lasers, Academic nanometer spatial resolution: surface topography; Press, 1978. [8] S. B. Kuntze, D. Ban, E. H. Sargent, St. J. Dixon-Warren, J. K. Whiteand, local conductivity; variations of potentials and K. Hinzer. Electrical Scanning Probe Microscopy: Investigating the Inner charges, built-in or induced by external bias or Workings of Electronic and Optoelectronic Devices. Critical Reviews in photoexcitation; evaluation of compositional Solid State and Materials Sciences, 30, 71–124, 2005. homogeneity and material defects; spatial and [9] A. V. Ankudinov, V. P. Evtikhiev, E. Yu. Kotelnikov, A. N. Titkov and R. Laiho. Voltage distributions and nonoptical catastrophic mirror spectral variations of transmittance, reflectance, and degradation in high power InGaAs/AlGaAs/GaAs lasers studied by other optical properties; localization of nonradiative Kelvin probe force microscopy. J. Appl. Phys. 93, 432-438 (2003). recombination regions; monitoring of p-n junction [10] D. K. Schroder. Surface voltage and surface photovoltage: history, positions; monitoring of heterointerface transitions; theory and applications. Meas. Sci. Technol. 12, R16–R31 (2001). [11] L. Kronik, Y. Shapira. Surface photovoltage phenomena: theory, and mapping of mechanical stresses. All of these experiment, and applications. Surface Science Reports 37, 1-206 (1999). measurement scan be used to optimize the solar cell technology. For example, the internal design of solar cells can be optimized via correlation of regions having the maximum photovoltaic conversion efficiency with data on variation of the chemical composition, layer thickness, profile, defects, optical parameters, etc. www.ntmdt.com http://www.ntmdt.com/device/ntegra-spectra
  • 7. NTEGRA Spectra: Solar Cell Diagnostics AFM - Raman - SNOM - TERS NTEGRA Spectra Interdisciplinary Research at the Nanometer Scale 100x high NA objective 100x high NA objective Atomic Force Microscopy (>30 modes) Confocal Raman / fluorescence microscopy Wide-field microscopy Scanning near-field optical microscopy (SNOM) Tip Enhanced Raman Scattering (TERS) and other tip-assisted optical techniques (s-SNOM, TERM etc.) Controlled Environment Temperature – Humidity – Gases – Liquid – Electrochemical – Magnetic Field www.ntmdt.com http://www.ntmdt.com/device/ntegra-spectra