Bulk Photovoltaic Effect in Two-Dimensional Perovskite Oxides
Pith reviewed 2026-06-26 13:39 UTC · model grok-4.3
The pith
Ultrathin two-dimensional ABO3 films break inversion symmetry to produce a spontaneous out-of-plane bulk photovoltaic effect.
A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.
Core claim
Using first-principles density functional theory, tight-binding modeling, and symmetry analysis, we show that ultrathin two-dimensional ABO3 films exemplified by SrTiO3 naturally break inversion symmetry, producing a spontaneous out-of-plane bulk photovoltaic effect. This differs from previous studies on in-plane BPV current signals and is more applicable and experimentally detectable. Such an effect is highly tunable via thickness, strain, surface termination, crystallographic orientation, and Moiré twisting. These findings are broadly applicable to a wide range of 2D perovskite and other layer-resolved oxides.
What carries the argument
Spontaneous inversion-symmetry breaking in ultrathin 2D ABO3 films that generates an out-of-plane bulk photovoltaic response.
If this is right
- The BPV current can be tuned by changing film thickness, applying strain, altering surface termination, rotating crystallographic orientation, or introducing Moiré twist.
- The same symmetry-breaking mechanism operates across a wide range of 2D perovskite oxides and other layer-resolved oxides.
- The out-of-plane geometry supplies a photocurrent signal that is more straightforward to detect than previously studied in-plane signals.
Where Pith is reading between the lines
- Device architectures could exploit freestanding or weakly bound ultrathin oxide layers to collect photocurrent perpendicular to the substrate.
- Similar thickness-driven symmetry loss may appear in other oxide families and produce unexpected photovoltaic responses at interfaces.
- Systematic thickness-series measurements on multiple ABO3 compositions would test how generally the effect appears.
- Strain and twist tuning open routes to engineer the BPV magnitude without changing chemical composition.
Load-bearing premise
Computational symmetry analysis and DFT calculations applied to ideal ultrathin films correctly predict a real, spontaneous out-of-plane BPV effect that appears without external fields or junctions.
What would settle it
Direct measurement of a nonzero out-of-plane photocurrent in an ultrathin SrTiO3 film illuminated without applied bias or junctions.
read the original abstract
Perovskite oxides ABO$_3$ host a rich interplay of charge, spin, lattice, and orbital degrees of freedom, giving rise to diverse quantum phenomena. In low-dimensional ABO$_3$, reduced symmetry can induce exotic quantum effects such as the two-dimensional electron gas and unconventional superconductivity. Using first-principles density functional theory, tight-binding modeling, and symmetry analysis, we show that ultrathin two-dimensional (2D) ABO$_3$ films -- exemplified by SrTiO$_3$ -- naturally break inversion symmetry, producing a spontaneous out-of-plane bulk photovoltaic (BPV) effect. This differs from previous studies on in-plane BPV current signals and is more applicable and experimentally detectable. Such an effect is highly tunable via thickness, strain, surface termination, crystallographic orientation, and Moir\'e twisting. These findings are broadly applicable to a wide range of 2D perovskite and other layer-resolved oxides.
Editorial analysis
A structured set of objections, weighed in public.
Referee Report
Summary. The manuscript uses first-principles DFT, tight-binding modeling, and symmetry analysis to argue that ultrathin 2D ABO3 films (exemplified by SrTiO3) naturally break inversion symmetry, yielding a spontaneous out-of-plane bulk photovoltaic (BPV) effect that is tunable by thickness, strain, surface termination, orientation, and Moiré twisting. This is positioned as distinct from prior in-plane BPV studies and more experimentally accessible.
Significance. If the central symmetry-breaking result holds, the work would be significant for identifying a route to out-of-plane BPV in oxide 2D systems without external fields or junctions. The combination of DFT, tight-binding, and symmetry arguments provides a multi-method foundation, and the tunability claims offer concrete experimental handles.
major comments (2)
- [model construction / symmetry analysis] Model-construction and symmetry sections: The central claim that ultrathin films 'naturally break inversion symmetry' (abstract and introduction) is load-bearing for the spontaneous out-of-plane BPV. Standard periodic slabs with identical terminations on both surfaces (e.g., TiO2-terminated) frequently retain an inversion center or mirror plane for even layer counts. The manuscript must explicitly report the space group, presence/absence of the inversion operator, and the resulting point-group-allowed BPV tensor components for the relaxed structures used in the calculations.
- [BPV calculations] BPV tensor results (likely §4 or equivalent): The out-of-plane BPV response is asserted to be spontaneous and detectable. The manuscript should show the computed BPV tensor elements (including the relevant shift-current or injection-current contributions) for at least one symmetric-termination slab versus an asymmetric case, with numerical values and convergence checks, to demonstrate that the out-of-plane component is symmetry-allowed rather than numerically small or artifactual.
minor comments (2)
- [abstract] Abstract: the phrase 'naturally break inversion symmetry' should be qualified by a brief statement of the slab termination and layer parity used, to avoid ambiguity with the skeptic concern.
- [figures] Figure captions (e.g., structure or band-structure figures): include the explicit termination (SrO vs TiO2) and number of layers for each panel so readers can assess symmetry.
Simulated Author's Rebuttal
We thank the referee for the careful reading and constructive suggestions. We address the two major comments point-by-point below and will incorporate the requested clarifications and data in the revised manuscript.
read point-by-point responses
-
Referee: [model construction / symmetry analysis] Model-construction and symmetry sections: The central claim that ultrathin films 'naturally break inversion symmetry' (abstract and introduction) is load-bearing for the spontaneous out-of-plane BPV. Standard periodic slabs with identical terminations on both surfaces (e.g., TiO2-terminated) frequently retain an inversion center or mirror plane for even layer counts. The manuscript must explicitly report the space group, presence/absence of the inversion operator, and the resulting point-group-allowed BPV tensor components for the relaxed structures used in the calculations.
Authors: We agree that an explicit symmetry analysis is required to substantiate the central claim. In the revised manuscript we will add a dedicated subsection (or table) that lists, for each relaxed slab geometry considered, the space group, the presence or absence of the inversion operator, and the point-group-allowed components of the BPV tensor. This will clarify which terminations and layer counts break inversion and which retain it, directly addressing the concern about even-layer symmetric slabs. revision: yes
-
Referee: [BPV calculations] BPV tensor results (likely §4 or equivalent): The out-of-plane BPV response is asserted to be spontaneous and detectable. The manuscript should show the computed BPV tensor elements (including the relevant shift-current or injection-current contributions) for at least one symmetric-termination slab versus an asymmetric case, with numerical values and convergence checks, to demonstrate that the out-of-plane component is symmetry-allowed rather than numerically small or artifactual.
Authors: We will add the requested numerical BPV tensor data. The revised version will include a table (or figure) reporting the relevant shift-current and injection-current tensor elements for both a representative symmetric-termination slab (where inversion is preserved) and an asymmetric-termination slab (where inversion is broken), together with convergence tests with respect to k-point sampling and slab thickness. This will explicitly demonstrate that the out-of-plane component appears only when symmetry permits it. revision: yes
Circularity Check
No circularity: derivation uses independent DFT/symmetry analysis on physical models
full rationale
The provided abstract and description indicate the central claim is obtained via standard first-principles DFT calculations, tight-binding modeling, and symmetry analysis applied to ultrathin ABO3 slab models. No equations, fitted parameters, or self-citations are shown that reduce the spontaneous out-of-plane BPV effect to a definition or input by construction. The result is presented as an output of the computational workflow rather than presupposed. This matches the default expectation of a non-circular paper; the skeptic concern addresses physical assumptions and model setup rather than any definitional or self-referential reduction in the derivation chain.
Axiom & Free-Parameter Ledger
Reference graph
Works this paper leans on
-
[1]
M. A. Green, A. Ho -Baillie, and H. J. Snaith, The emergence of perovskite solar cells Nature Photonics 8, 506 (2014)
2014
-
[2]
H. Y . Hwang, Y . Iwasa, M. Kawasaki, B. Keimer, N. Nagaosa, and Y . Tokura, Emergent phenomena at oxide interfaces Nature Materials 11, 103 (2012)
2012
-
[3]
Maeno, H
Y . Maeno, H. Hashimoto, K. Yoshida, S. Nishizaki, T. Fujita, J. Bednorz, and F. Lichtenberg, Superconductivity in a layered perovskite without copper Nature 372, 532 (1994)
1994
-
[4]
R. E. Cohen, Origin of ferroelectricity in perovskite oxides Nature 358, 136 (1992)
1992
-
[5]
Fiebig, T
M. Fiebig, T. Lottermoser, D. Meier, and M. Trassin, The evolution of multiferroics Nature Reviews Materials 1, 16046 (2016)
2016
-
[6]
Tokura and N
Y . Tokura and N. Kanazawa, Magnetic skyrmion materials Chemical Reviews 121, 2857 (2020)
2020
-
[7]
Frohna, T
K. Frohna, T. Deshpande, J. Harter, W. Peng, B. A. Barker, J. B. Neaton, S. G. Louie, O. M. Bakr, D. Hsieh, and M. Bernardi, Inversion symmetry and bulk Rashba effect in methylammonium lead iodide perovskite single crystals Nature Communications 9, 1829 (2018)
2018
-
[8]
L. Z. Tan, F. Zheng, S. M. Young, F. Wang, S. Liu, and A. M. Rappe, Shift current bulk 13 photovoltaic effect in polar materials—hybrid and oxide perovskites and beyond npj Computational Materials 2, 16026 (2016)
2016
-
[9]
Belinicher, E
V . Belinicher, E. Ivchenko, and B. Sturman, Kinetic theory of the displacement photovoltaic effect in piezoelectrics Zh Eksp Teor Fiz 83, 649 (1982)
1982
-
[10]
Kristoffel, R
N. Kristoffel, R. V on Baltz, and D. Hornung, On the intrinsic bulk photovoltaic effect: Performing the sum over intermediate states Zeitschrift fü r Physik B Condensed Matter 47, 293 (1982)
1982
-
[11]
Sipe and A
J. Sipe and A. Shkrebtii, Second-order optical response in semiconductors Physical Review B 61, 5337 (2000)
2000
-
[12]
von Baltz and W
R. von Baltz and W. Kraut, Theory of the bulk photovoltaic effect in pure crystals Physical Review B 23, 5590 (1981)
1981
-
[13]
B. I. Sturman, Ballistic and shift currents in the bulk photovoltaic effect theory Physics-Uspekhi 63, 407 (2020)
2020
-
[14]
Z. Dai, A. M. Schankler, L. Gao, L. Z. Tan, and A. M. Rappe, Phonon-assisted ballistic current from first-principles calculations Physical Review Letters 126, 177403 (2021)
2021
-
[15]
Dai and A
Z. Dai and A. M. Rappe, Recent progress in the theory of bulk photovoltaic effect Chemical Physics Reviews 4, 011303 (2023)
2023
-
[16]
L. Z. Tan and A. M. Rappe, Enhancement of the bulk photovoltaic effect in topological insulators Physical Review Letters 116, 237402 (2016)
2016
-
[17]
Jiang, L
X. Jiang, L. Kang, J. Wang, and B. Huang, Giant Bulk Electrophotovoltaic Effect in Heteronodal-Line Systems Physical Review Letters 130, 256902 (2023)
2023
-
[18]
Zhang, H
C. Zhang, H. Pi, L. Zhou, S. Li, J. Zhou, A. Du, and H. Weng, Switchable topological phase transition and nonlinear optical properties in a ReC 2H monolayer Physical Review B 105, 245108 (2022)
2022
-
[19]
Kraut and R
W. Kraut and R. von Baltz, Anomalous bulk photovoltaic effect in ferroelectrics: A quadratic response theory Physical Review B 19, 1548 (1979)
1979
-
[20]
S. S. Hong, M. Gu, M. Verma, V . Harbola, and H. Y . Hwang, Extreme tensile strain states in La0.7Ca0.3MnO3 membranes Science 368, 71 (2020)
2020
-
[21]
G. Dong, S. Li, M. Yao, Z. Zhou, and M. Liu, Super-elastic ferroelectric single -crystal membrane with continuous electric dipole rotation Science 366, 475 (2019)
2019
-
[22]
Zhang, T
J. Zhang, T. Lin, A. Wang, X. Wang, Q. He, H. Ye, J. Lu, Q. Wang, Z. Liang, and F. Jin, et al. Super-tetragonal Sr 4Al2O7 as a sacrificial layer for high -integrity freestanding oxide membranes Science 383, 388 (2024)
2024
-
[23]
Mirjolet, F
M. Mirjolet, F. Sá nchez, and J. Fontcuberta, High carrier mobility, electrical conductivity, and optical transmittance in epitaxial SrVO 3 thin films Advanced Functional Materials 29, 1808432 (2019)
2019
-
[24]
Fouchet, M
A. Fouchet, M. Allain, B. Bé rini, E. Popova, P.-E. Janolin, N. Guiblin, E. Chikoidze, J. Scola, D. Hrabovsky, and Y . Dumont, et al. Study of the electronic phase transition with low dimensionality in SrVO3 thin films Materials Science and Engineering: B 212, 7 (2016)
2016
-
[25]
Koster, L
G. Koster, L. Klein, W. Siemons, G. Rijnders, J. S. Dodge, C. -B. Eom, D. H. Blank, and M. R. Beasley, Structure, physical properties, and applications of SrRuO 3 thin films Reviews of Modern Physics 84, 253 (2012)
2012
-
[26]
Orvis, T
T. Orvis, T. Cao, M. Surendran, H. Kumarasubramanian, A. S. Thind, A. Cunniff, R. Mishra, and J. Ravichandran, Direct observation and control of surface termination in perovskite oxide heterostructures Nano Letters 21, 4160 (2021). 14
2021
-
[27]
B. A. Davidson, A. Yu. Petrov, F. Li, R. Pons, P. Sosa -Lizama, H. Shin, C. Liu, P. Parisse, P. Torelli, and G. Cristiani, et al. A universal method for in situ control of stoichiometry and termination of epitaxial perovskite films Nature Communications 16, 8587 (2025)
2025
-
[28]
H. G. Lee, L. Wang, L. Si, X. He, D. G. Porter, J. R. Kim, E. K. Ko, J. Kim, S. M. Park, and B. Kim, et al. Atomic‐Scale Metal –Insulator Transition in SrRuO 3 Ultrathin Films Triggered by Surface Termination Conversion Advanced Materials 32, 1905815 (2020)
2020
-
[29]
J. Blok, X. Wan, G. Koster, D. Blank, and G. Rijnders, Epitaxial oxide growth on polar (111) surfaces Applied Physics Letters 99, 151917 (2011)
2011
-
[30]
S. Lee, D. de Sousa, B. Jalan, and T. Low, Moiré polar vortex, flat bands, and Lieb lattice in twisted bilayer BaTiO3 Science Advances 10, eadq0293 (2024)
2024
-
[31]
Sá nchez-Santolino, V
G. Sá nchez-Santolino, V . Rouco, S. Puebla, H. Aramberri, V . Zamora, M. Cabero, F. Cuellar, C. Munuera, F. Mompean, and M. Garcí a-Herná ndez, et al. A 2D ferroelectric vortex pattern in twisted BaTiO3 freestanding layers Nature 626, 529 (2024)
2024
-
[32]
D. T. Larson, D. Bennett, A. Ali, A. S. Chaves, R. Arora, K. M. Rabe, and E. Kaxiras, Stacking- dependent electronic structure of ultrathin perovskite bilayers Physical Review B 111, 125131 (2025)
2025
-
[33]
J. Shen, Z. Dong, M. Qi, Y . Zhang, C. Zhu, Z. Wu, and D. Li, Observation of moiré patterns in twisted stacks of bilayer perovskite oxide nanomembranes with various lattice symmetries ACS applied materials & interfaces 14, 50386 (2022)
2022
-
[34]
Zhang, L
S. Zhang, L. Jin, Y . Lu, L. Zhang, J. Yang, Q. Zhao, D. Sun, J. J. Thompson, B. Yuan, and K. Ma, et al. Moiré superlattices in twisted two-dimensional halide perovskites Nature Materials 23, 1222 (2024)
2024
-
[35]
Y . Wang, Y . Lan, Q. Song, F. V ogelbacher, T. Xu, Y . Zhan, M. Li, W. E. Sha, and Y . Song, Colorful efficient moiré‐perovskite solar cells Advanced Materials 33, 2008091 (2021)
2021
-
[36]
Kaplan, T
D. Kaplan, T. Holder, and B. Yan, Twisted photovoltaics at terahertz frequencies from momentum shift current Physical Review Research 4, 013209 (2022)
2022
-
[37]
Chaudhary, C
S. Chaudhary, C. Lewandowski, and G. Refael, Shift-current response as a probe of quantum geometry and electron-electron interactions in twisted bilayer graphene Physical Review Research 4, 013164 (2022)
2022
-
[38]
Liu and X
J. Liu and X. Dai, Anomalous Hall effect, magneto -optical properties, and nonlinear optical properties of twisted graphene systems npj Computational Materials 6, 57 (2020)
2020
-
[39]
Peñ aranda, H
F. Peñ aranda, H. Ochoa, and F. De Juan, Intrinsic and extrinsic photogalvanic effects in twisted bilayer graphene Physical Review Letters 133, 256603 (2024)
2024
-
[40]
Y . Gao, Y . Zhang, and D. Xiao, Tunable layer circular photogalvanic effect in twisted bilayers Physical Review Letters 124, 077401 (2020)
2020
-
[41]
L. Nian, H. Sun, Z. Wang, D. Xu, B. Hao, S. Yan, Y . Li, J. Zhou, Y . Deng, and Y . Hao, et al. Sr4Al2O7: A new sacrificial layer with high water dissolution rate for the synthesis of freestanding oxide membranes Advanced Materials 36, 2307682 (2024)
2024
-
[42]
Pryds, D
N. Pryds, D. -S. Park, T. Jespersen, and S. Yun, Twisted oxide membranes: A perspective APL Materials 12, 010901 (2024)
2024
-
[43]
H. Sha, Y . Zhang, Y . Ma, W. Li, W. Yang, J. Cui, Q. Li, H. Huang, and R. Yu, Polar vortex hidden in twisted bilayers of paraelectric SrTiO3 Nature Communications 15, 10915 (2024)
2024
-
[44]
Tear‐And‐Stack
Y . Zhang, J. Ge, S. Su, Y . Li, W. Zhang, L. Lyu, J. Song, Y . Liu, Y . Lei, and H. Du, “Tear‐And‐Stack” Twisted SrTiO3 Moiré Superlattices for Precise Interfacial Reconstruction and Polar Topology Advanced Materials 38, e19300 (2026). 15
2026
-
[45]
M.-S. Kim, K. Lee, R. Ishikawa, K. Song, N. A. Shahed, K. -T. Eom, M. S. Rzchowski, E. Y . Tsymbal, N. Shibata, and T. Mizoguchi, et al. Charge Disproportionation at Twisted SrTiO3 Bilayer Interface Driven by Local Atomic Registry ACS Nano 19, 39714 (2025)
2025
-
[46]
Kresse and J
G. Kresse and J. Hafner, Ab initio molecular dynamics for liquid metals Physical Review B 47, 558 (1993)
1993
-
[47]
Kresse and J
G. Kresse and J. Furthmü ller, Efficient iterative schemes for ab initio total -energy calculations using a plane-wave basis set Physical Review B 54, 11169 (1996)
1996
-
[48]
P. E. Blö chl, Projector augmented-wave method Physical Review B 50, 17953 (1994)
1994
-
[49]
J. P. Perdew, K. Burke, and M. Ernzerhof, Generalized gradient approximation made simple Physical Review Letters 77, 3865 (1996)
1996
-
[50]
Dal Corso, Pseudopotentials periodic table: From H to Pu Computational Materials Science 95, 337 (2014)
A. Dal Corso, Pseudopotentials periodic table: From H to Pu Computational Materials Science 95, 337 (2014)
2014
-
[51]
H. J. Monkhorst and J. D. Pack, Special points for Brillouin-zone integrations Physical Review B 13, 5188 (1976)
1976
-
[52]
Grimme, Semiempirical GGA‐type density functional constructed with a long‐range dispersion correction Journal of Computational Chemistry 27, 1787 (2006)
S. Grimme, Semiempirical GGA‐type density functional constructed with a long‐range dispersion correction Journal of Computational Chemistry 27, 1787 (2006)
2006
-
[53]
A. A. Mostofi, J. R. Yates, G. Pizzi, Y . -S. Lee, I. Souza, D. Vanderbilt, and N. Marzari, An updated version of wannier90: A tool for obtaining maximally -localised Wannier functions Computer Physics Communications 185, 2309 (2014)
2014
-
[54]
A. A. Mostofi, J. R. Yates, Y . -S. Lee, I. Souza, D. Vanderbilt, and N. Marzari, wannier90: A tool for obtaining maximally -localised Wannier functions Computer Physics Communications 178, 685 (2008)
2008
-
[55]
Zhang, T
Y . Zhang, T. Holder, H. Ishizuka, F. de Juan, N. Nagaosa, C. Felser, and B. Yan, Switchable magnetic bulk photovoltaic effect in the two -dimensional magnet CrI 3 Nature Communications 10, 3783 (2019)
2019
-
[56]
X. Zhou, H. Van Driel, and G. Mak, Femtosecond kinetics of photoexcited carriers in germanium Physical Review B 50, 5226 (1994)
1994
-
[57]
Sjakste, K
J. Sjakste, K. Tanimura, G. Barbarino, L. Perfetti, and N. Vast, Hot electron relaxation dynamics in semiconductors: assessing the strength of the electron –phonon coupling from the theoretical and experimental viewpoints Journal of Physics: Condensed Matter 30, 353001 (2018)
2018
-
[58]
R.-C. Xiao, Y . Gao, H. Jiang, W. Gan, C. Zhang, and H. Li, Non-synchronous bulk photovoltaic effect in two -dimensional interlayer -sliding ferroelectrics npj Computational Materials 8, 138 (2022)
2022
-
[59]
D. Hara, M. Bahramy, and S. Murakami, Current-induced orbital magnetization in systems without inversion symmetry Physical Review B 102, 184404 (2020)
2020
-
[60]
Ghorai, S
K. Ghorai, S. Das, H. Varshney, and A. Agarwal, Planar Hall effect in quasi -two-dimensional materials Physical Review Letters 134, 026301 (2025)
2025
-
[61]
Rangel, B
T. Rangel, B. M. Fregoso, B. S. Mendoza, T. Morimoto, J. E. Moore, and J. B. Neaton, Large bulk photovoltaic effect and spontaneous polarization of single -layer monochalcogenides Physical Review Letters 119, 067402 (2017)
2017
-
[62]
Ibañ ez-Azpiroz, S
J. Ibañ ez-Azpiroz, S. S. Tsirkin, and I. Souza, Ab initio calculation of the shift photocurrent by Wannier interpolation Physical Review B 97, 245143 (2018)
2018
-
[63]
S. Saha, T. Sinha, and A. Mookerjee, Structural and optical properties of paraelectric SrTiO 3 Journal of Physics: Condensed Matter 12, 3325 (2000)
2000
-
[64]
Deleuze, H
P.-M. Deleuze, H. Magnan, A. Barbier, Z. Li, A. Verdini, L. Floreano, B. Domenichini, and C. 16 Dupont, Nature of the Ba 4d splitting in BaTiO 3 unraveled by a combined experimental and theoretical study The Journal of Physical Chemistry C 126, 15899 (2022)
2022
-
[65]
See Supplemental Material at http://link.aps.org/.............for computational details, additional DFT band structures, optical absorption spectra, and bulk photovoltaic (BPV) effect
-
[66]
Y . Li, J. Fu, X. Mao, C. Chen, H. Liu, M. Gong, and H. Zeng, Enhanced bulk photovoltaic effect in two-dimensional ferroelectric CuInP2S6 Nature Communications 12, 5896 (2021)
2021
-
[67]
R. Fei, L. Z. Tan, and A. M. Rappe, Shift-current bulk photovoltaic effect influenced by quasiparticle and exciton Physical Review B 101, 045104 (2020). S1 Supplemental Material Bulk Photovoltaic Effect in Two-Dimensional Perovskite Oxides Chunmei Zhang1,2,3 Jian Zhou4*, Liang Si1,2,3* 1School of Physics, Northwest University, Xi’an 710127, China 2Shaanxi...
2020
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.