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When there is a strong spin-orbit coupling in some direct semiconductor with an inversion-asymmetric structure, the Rashba effect will exist, splitting the spin-degenerated bands into two sub-bands with opposite spin states. These two sub-bands will deviate from the symmetry center of the Brillouin zone, making the semiconductor an indirect band gap semiconductor. Metal halide perovskites exhibit strong spin-orbit coupling and possess an inversion-asymmetric crystal structure, showing great potential in Rashba effect research. In this review, we systematically review the Rashba effects in perovskites, including the theoretical and experimental studies for demonstrating the Rashba effect in perovskites, the influence of Rashba effect on the carrier recombination, and the current debates concerning the Rashba effect in perovskites. Then, several problems that need to be solved urgently are proposed,they being 1) whether there exists the Rashba effect in the perovskite, 2) whether the Rashba effect can exert a significant influence on carrier recombination, and 3) what the relationship between the Rashba effect and the perovskite stucture is. The prospects are also given for the future research including the study of the Rashba effect in perovskites by various spectral methods and the applications of the Rashba effect in optical-electronic-magnetic devices.
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Keywords:
- perovskite /
- Rashba effect /
- carrier recombination
[1] Manser J S, Christians J A, Kamat P V 2016 Chem. Rev. 116 12956Google Scholar
[2] Sutherland B R, Sargent E H 2016 Nat. Photon. 10 295Google Scholar
[3] Kojima A, Teshima K, Shirai Y, Miyasaka T 2009 J. Am. Chem. Soc. 131 6050Google Scholar
[4] Lee M M, Teuscher J, Miyasaka T, Murakami T N, Snaith H J 2012 Science 338 643Google Scholar
[5] Yang R, Li R, Cao Y, Wei Y, Miao Y, Tan W L, Jiao X, Chen H, Zhang L, Chen Q, Zhang H, Zou W, Wang Y, Yang M, Yi C, Wang N, Gao F, McNeill C R, Qin T, Wang J, Huang W 2018 Adv. Mater. 30 1804771
[6] Tan Z K, Moghaddam R S, Lai M L, Docampo P, Higler R, Deschler F, Price M, Sadhanala A, Pazos L M, Credgington D, Hanusch F, Bein T, Snaith H J, Friend R H 2014 Nat. Nanotechnol. 9 687Google Scholar
[7] Wang N, Cheng L, Ge R, Zhang S, Miao Y, Zou W, Yi C, Sun Y, Cao Y, Yang R, Wei Y, Guo Q, Ke Y, Yu M, Jin Y, Liu Y, Ding Q, Di D, Yang L, Xing G, Tian H, Jin C, Gao F, Friend R H, Wang J, Huang W 2016 Nat. Photon. 10 699Google Scholar
[8] Cao Y, Wang N, Tian H, Guo J, Wei Y, Chen H, Miao Y, Zou W, Pan K, He Y, Cao H, Ke Y, Xu M, Wang Y, Yang M, Du K, Fu Z, Kong D, Dai D, Jin Y, Li G, Li H, Peng Q, Wang J, Huang W 2018 Nature 562 249Google Scholar
[9] NREL 2019 Best Research-Cell Efficiencies 2019 https://www.nrel.gov/pv/cell-efficiency.html [2019-05-05]
[10] Wehrenfennig C, Eperon G E, Johnston M B, Snaith H J, Herz L M 2014 Adv. Mater. 26 1584Google Scholar
[11] Bi Y, Hutter E M, Fang Y, Dong Q, Huang J, Savenije T J 2016 J. Phys. Chem. Lett. 7 923Google Scholar
[12] Alarousu E, El-Zohry A M, Yin J, Zhumekenov A A, Yang C, Alhabshi E, Gereige I, AlSaggaf A, Malko A V, Bakr O M, Mohammed O F 2017 J. Phys. Chem. Lett. 8 4386Google Scholar
[13] Azarhoosh P, McKechnie S, Frost J M, Walsh A, van Schilfgaarde M 2016 APL Mater. 4 091501Google Scholar
[14] Ambrosio F, Wiktor J, de Angelis F, Pasquarello A 2018 Energy Environ. Sci. 11 101Google Scholar
[15] Chen T, Chen W L, Foley B J, Lee J, Ruff J P C, Ko J Y P, Brown C M, Harriger L W, Zhang D, Park C, Yoon M, Chang Y M, Choi J J, Lee S H 2017 PNAS 114 7519Google Scholar
[16] Frost J M, Butler K T, Brivio F, Hendon C H, van Schilfgaarde M, Walsh A 2014 Nano Lett. 14 2584Google Scholar
[17] Zhang C, Sun D, Vardeny Z V 2017 Adv. Electron. Mater. 3 1600426Google Scholar
[18] Zhang Z, Long R, Tokina M V, Prezhdo O V 2017 J. Am. Chem. Soc. 139 17327Google Scholar
[19] Yamada Y, Nakamura T, Endo M, Wakamiya A, Kanemitsu Y 2014 J. Am. Chem. Soc. 136 11610Google Scholar
[20] Stranks S D, Burlakov V M, Leijtens T, Ball J M, Goriely A, Snaith H J 2014 Phys. Rev. Appl. 2 034007Google Scholar
[21] Ma J, Wang L W 2015 Nano Lett. 15 248Google Scholar
[22] Pazos-Outón L M, Szumilo M, Lamboll R, Richter J M, Crespo-Quesada M, Abdi-Jalebi M, Beeson H J, Vrućinić M, Alsari M, Snaith H J, Ehrler B, Friend R H, Deschler F 2016 Science 351 1430Google Scholar
[23] Fang Y, Wei H, Dong Q, Huang J 2017 Nat. Commun. 8 14417Google Scholar
[24] Zheng F, Tan L Z, Liu S, Rappe A M 2015 Nano Lett. 15 7794Google Scholar
[25] Etienne T, Mosconi E, De Angelis F 2016 J. Phys. Chem. Lett. 7 1638Google Scholar
[26] Leppert L, Reyes-Lillo S E, Neaton J B 2016 J. Phys. Chem. Lett. 7 3683Google Scholar
[27] Pedesseau L, Kepenekian M, Robles R, Sapori D, Katan C, Even J 2016 Proc. of SPIE 9742 97421BGoogle Scholar
[28] Yu Z G 2016 J. Phys. Chem. Lett. 7 3078Google Scholar
[29] Isarov M, Tan L Z, Bodnarchuk M I, Kovalenko M V, Rappe A M, Lifshitz E 2017 Nano Lett. 17 5020Google Scholar
[30] Kepenekian M, Even J 2017 J. Phys. Chem. Lett. 8 3362Google Scholar
[31] Yu Z G 2017 Phys. Chem. Chem. Phys. 19 14907Google Scholar
[32] Che X, Traore B, Katan C, Kepenekian M, Even J 2018 Phys. Chem. Chem. Phys. 20 9638Google Scholar
[33] Li Z, Kolodziej C, Zhang T, McCleese C, Kovalsky A, Zhao Y, Lambrecht W R L, Burda C 2018 J. Am. Chem. Soc. 140 11811Google Scholar
[34] Stranks S D, Plochocka P 2018 Nat. Mater. 17 381Google Scholar
[35] Myung C W, Javaid S, Kim K S, Lee G 2018 ACS Energy Lett. 3 1294Google Scholar
[36] Niesner D, Hauck M, Shrestha S, Levchuk I, Matt G J, Osvet A, Batentschuk M, Brabec C, Weber H B, Fauster T 2018 PNAS 115 9509Google Scholar
[37] Stroppa A, Di Sante D, Barone P, Bokdam M, Kresse G, Franchini C, Whangbo M H, Picozzi S 2014 Nat. Commun. 5 5900Google Scholar
[38] Niesner D, Wilhelm M, Levchuk I, Osvet A, Shrestha S, Batentschuk M, Brabec C, Fauster T 2016 Phys. Rev. Lett. 117 126401Google Scholar
[39] Mosconi E, Etienne T, de Angelis F 2017 T. Phys. Chem. Lett. 8 2247Google Scholar
[40] Davies C L, Filip M R, Patel J B, Crothers T W, Verdi C, Wright A D, Milot R L, Giustino F, Johnston M B, Herz L M 2018 Nat. Commun. 9 293Google Scholar
[41] Sarritzu V, Sestu N, Marongiu D, Chang X, Wang Q, Masi S, Colella S, Rizzo A, Gocalinska A, Pelucchi E, Mercuri M L, Quochi F, Saba M, Mura A, Bongiovanni G 2018 Adv. Opt. Mater. 6 1701254Google Scholar
[42] Frohna K, Deshpande T, Harter J, Peng W, Barker B A, Neaton J B, Louie S G, Bakr O M, Hsieh D, Bernardi M 2018 Nat. Commun. 9 1829Google Scholar
[43] Zhang X, Shen J X, Wang W, Van de Walle C G 2018 ACS Energy Lett. 3 2329Google Scholar
[44] Zhang X, Shen J X, Van de Walle C G 2018 J. Phys. Chem. Lett. 9 2903Google Scholar
[45] Rashba E I, Sheka V I 1959 Fiz. Tverd. Tela: Collected Papers 2 162
[46] Rashba E I. 1959 Sov. Phys.-Solid State 1 368
[47] Zhai Y, Baniya S, Zhang C, Li J, Haney P, Sheng C X, Ehrenfreund E, Vardeny Z V 2017 Sci. Adv. 3 e1700704Google Scholar
[48] Dresselhaus G, Kip A F, Kittel C 1954 Phys. Rev. 95 568Google Scholar
[49] Zhang X, Liu Q, Luo J W, Freeman A J, Zunger A 2014 Nat. Phys. 10 387Google Scholar
[50] Ganichev S D, Golub L E 2014 Phys. Status Solidi B 251 1801Google Scholar
[51] Giglberger S, Golub L E, Bel'kov V V, Danilov S N, Schuh D, Gerl C, Rohlfing F, Stahl J, Wegscheider W, Weiss D, Prettl W, Ganichev S D 2007 Phys. Rev. B 75 035327
[52] Frantzeskakis E, Pons S, Mirhosseini H, Henk J, Ast C R, Grioni M 2008 Phys. Rev. Lett. 101 196805Google Scholar
[53] King P D, Hatch R C, Bianchi M, Ovsyannikov R, Lupulescu C, Landolt G, Slomski B, Dil J H, Guan D, Mi J L, Rienks E D, Fink J, Lindblad A, Svensson S, Bao S, Balakrishnan G, Iversen B B, Osterwalder J, Eberhardt W, Baumberger F, Hofmann P 2011 Phys. Rev. Lett. 107 096802Google Scholar
[54] Ishizaka K, Bahramy M S, Murakawa H, Sakano M, Shimojima T, Sonobe T, Koizumi K, Shin S, Miyahara H, Kimura A, Miyamoto K, Okuda T, Namatame H, Taniguchi M, Arita R, Nagaosa N, Kobayashi K, Murakami Y, Kumai R, Kaneko Y, Onose Y, Tokura Y 2011 Nat. Mater. 10 521Google Scholar
[55] Ganichev S D, Bel'kov V V, Golub L E, Ivchenko E L, Schneider P, Giglberger S, Eroms J, de Boeck J, Borghs G, Wegscheider W, Weiss D, Prettl W 2004 Phys. Rev. Lett. 92 256601Google Scholar
[56] Kepenekian M, Robles R, Katan C, Sapori D, Pedesseau L, Even J 2015 ACS Nano 9 11557Google Scholar
[57] Kim M, Im J, Freeman A J, Ihm J, Jin H 2014 PNAS 111 6900Google Scholar
[58] Etienne T, Mosconi E, de Angelis F 2018 J. Phys. Chem. C 122 124Google Scholar
[59] Hu S, Gao H, Qi Y, Tao Y, Li Y, Reimers J R, Bokdam M, Franchini C, Sante D D, Stroppa A, Ren W 2017 J. Phys. Chem. C 121 23045Google Scholar
[60] Amat A, Mosconi E, Ronca E, Quarti C, Umari P, Nazeeruddin M K, Graetzel M, de Angelis F 2014 Nano Lett. 14 3608Google Scholar
[61] Even J, Pedesseau L, Jancu J M, Katan C 2014 Phys. Status Solidi (RRL)
8 31Google Scholar [62] Motta C, El-Mellouhi F, Kais S, Tabet N, Alharbi F, Sanvito S 2015 Nat. Commun. 6 7026Google Scholar
[63] Marronnier A, Roma G, Carignano M A, Bonnassieux Y, Katan C, Even J, Mosconi E, de Angelis F 2019 J. Phys. Chem. C 123 291Google Scholar
[64] McKechnie S, Frost J M, Pashov D, Azarhoosh P, Walsh A, van Schilfgaarde M 2018 Phys. Rev. B 98 085108Google Scholar
[65] Beecher A N, Semonin O E, Skelton J M, Frost J M, Terban M W, Zhai H, Alatas A, Owen J S, Walsh A, Billinge S J L 2016 ACS Energy Lett. 1 880Google Scholar
[66] Hutter E M, Gélvez-Rueda M C, Osherov A, Bulović V, Grozema F C, Stranks S D, Savenije T J 2017 Nat. Mater. 16 115Google Scholar
[67] Eldridge P S, Leyland W J H, Lagoudakis P G, Harley R T, Phillips R T, Winkler R, Henini M, Taylor D 2010 Phys. Rev. B 82 045317Google Scholar
[68] Wang T, Daiber B, Frost J M, Mann S A, Garnett E C, Walsh A, Ehrler B 2017 Energy Environ. Sci. 10 509Google Scholar
[69] Wu B, Nguyen H T, Ku Z, Han G, Giovanni D, Mathews N, Fan H J, Sum T C 2016 Adv. Energy Mater. 6 1600551Google Scholar
[70] Priest A N, Nicholas R J, Cheng H H, Van der Burgt M, Harris J J, Foxon C T 1998 Physica B 249–251 562
[71] Choi Y J, Debbichi L, Lee D K, Park N G, Kim H, Kim D 2019 J. Phys. Chem. Lett. 10 2135Google Scholar
[72] Chen X, Lu H, Li Z, Zhai Y, Ndione P F, Berry J J, Zhu K, Yang Y, Beard M C 2018 ACS Energy Lett. 3 2273Google Scholar
[73] Yin J, Maity P, Xu L, El-Zohry A M, Li H, Bakr O M, Brédas J L, Mohammed O F 2018 Chem. Mater. 30 8538Google Scholar
[74] Even J, Pedesseau L, Jancu J M, Katan C 2013 J. Phys. Chem. Lett. 4 2999Google Scholar
[75] König U, Weinberger P, Redinger J, Erschbaumer H, Freeman A J 1989 Phys. Rev. B 39 7492Google Scholar
[76] Bertoni R, Nicholson C W, Waldecker L, Hübener H, Monney C, de Giovannini U, Puppin M, Hoesch M, Springate E, Chapman R T, Cacho C, Wolf M, Rubio A, Ernstorfer R 2016 Phys. Rev. Lett. 117 277201Google Scholar
[77] Bel’kov V V, Ganichev S D, Ivchenko E L, Tarasenko S A, Weber W, Giglberger S, Olteanu M, Tranitz H P, Danilov S N, Schneider P, Wegscheider W, Weiss D, Prettl W 2005 J. Phys.: Conden. Matter 17 3405Google Scholar
[78] Jusserand B, Richards D, Allan G, Priester C, Etienne B 1995 Phys. Rev. B 51 4707Google Scholar
[79] Sinova J, Valenzuela S O, Wunderlich J, Back C H, Jungwirth T 2015 Rev. Mod. Phys. 87 1213Google Scholar
[80] Datta S, Das B 1990 Appl. Phys. Lett. 56 665Google Scholar
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图 4 (a)具有不同自旋极化的Rashba分裂子带偏离了k空间的Γ点[61]; (b)通过调控材料的铁电性改变Rashba分裂子带的自旋螺旋性[57]; (c)通过控制外电场调控自旋分裂子带中的自旋构造[37]
Figure 4. (a) Rashba-splitting sub-bands with different spin polarization deviate from the Γ point in the k space [61]; (b) changing the spin helicity of the Rashba-spliting sub-bands by tuning the ferroelectricity of the material[57]; (c) tuning the spin texture of the spin-splitting sub-bands by controlling the external electric field [37].
图 5 (a)密度泛函计算表明晶格的扭曲致使钙钛矿成为间接带隙半导体[62]; (b)分子动力学分析指出钙钛矿中的Rashba效应随时间变化[58]; (c)基于分子动力学和冻结声子分析法的研究表明钙钛矿中动态的Rashba效应源自非简谐结构波动[63]; (d) ab initio计算分子动力学、密度泛函理论以及准粒子GW理论的综合分析结果表明钙钛矿中动态Rashba效应来源于材料中热无序导致的势能波动[64]
Figure 5. (a) Density functional calculations show that perovskite becomes an indirect semiconductor due to the lattice distortion[62]; (b) molecular dynamics analysis shows that the Rashba effect in perovskite varies with time[58]; (c) molecular dynamics and frozen phonon analysis show that the dynamic Rashba effect in perovskite originates from the fluctuation of anharmonic structure[63]; (d) the combination analysis of ab initio molecular dynamics, density functional theory and quasiparticle GW theory shows that the dynamic Rashba effect in perovskite originates from the potential energy fluctuation caused by thermal disorder in perovskite [64].
图 9 (a), (b)利用磁光效应研究钙钛矿中的Rashba效应[29]; (c)通过测试高压下的钙钛矿光电性质研究钙钛矿中的Rashba效应[68]; (d)利用电诱导吸收谱和瞬态光谱测试法研究钙钛矿中的Rashba效应[47]
Figure 9. (a), (b) Studying the Rashba effect in perovskite by measuring the magneto-optical effects [29]; (c) studying the Rashba effect in perovskite by measuring the optoelectronic properties of perovskite at high pressure[68]; (d) studying the Rashba effect in perovskite by measuring the electroabsorption spectra and transient spectroscopy [47].
图 12 利用准粒子自洽场GW法研究不同激发密度和不同温度下Rashba效应对钙钛矿中光生载流子辐射复合速率的影响[13]
Figure 12. Studying the influence of the Rashba effect on the radiative recombination rates of photo-generated carriers in perovskite under different excitation densities and temperatures by quasiparticle self-consistent field GW method [13].
图 13 (a), (b)基于1PE和2PE的瞬态光谱测试研究Rashba效应对钙钛矿表面和内部载流子复合速率的影响[33]; (c)基于瞬态PL研究不同晶粒大小的钙钛矿中Rashba效应对载流子复合的影响[71]
Figure 13. (a), (b) Studying the influences of Rashba effect on the carrier recombination rates on the surface and interior of perovskite by transient spectroscopy measurements based on single-photon (1PE) and two-photon (2PE) excitations [33]; (c) studying the impacts of Rashba effect on the carrier recombination in perovskite with different grain size based on transient PL investigation [71].
图 14 (a)利用瞬态反射谱研究不同n值的二维钙钛矿中Rashba效应对载流子寿命的影响[72]; (b)利用圆偏振时间分辨光谱研究Rashba效应对钙钛矿中载流子自旋寿命的影响[72]
Figure 14. (a) Studying the influences of Rashba effect on carrier lifetime in two-dimensional perovskite with different n values by using the transient reflection spectroscopy[72]; (b) studying the influences of Rashba effect on spin lifetime of the carriers in the perovskites by circularly polarized time-resolved spectroscopy [72].
图 19 (a)第一性原理计算结果表明虽然钙钛矿中存在Rashba效应, 但载流子复合并不是自旋禁阻的[44]; (b) Rashba效应引起的动量不匹配对载流子复合速率的影响十分微弱[43]
Figure 19. Results of first-principles calculations show that the Rashba effect in perovskite does not lead to the spin forbidden of the carrier recombination [44]; (b) the influence of momentum mismatch caused by the Rashba effect on the carriers recombination is very weak [43].
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[1] Manser J S, Christians J A, Kamat P V 2016 Chem. Rev. 116 12956Google Scholar
[2] Sutherland B R, Sargent E H 2016 Nat. Photon. 10 295Google Scholar
[3] Kojima A, Teshima K, Shirai Y, Miyasaka T 2009 J. Am. Chem. Soc. 131 6050Google Scholar
[4] Lee M M, Teuscher J, Miyasaka T, Murakami T N, Snaith H J 2012 Science 338 643Google Scholar
[5] Yang R, Li R, Cao Y, Wei Y, Miao Y, Tan W L, Jiao X, Chen H, Zhang L, Chen Q, Zhang H, Zou W, Wang Y, Yang M, Yi C, Wang N, Gao F, McNeill C R, Qin T, Wang J, Huang W 2018 Adv. Mater. 30 1804771
[6] Tan Z K, Moghaddam R S, Lai M L, Docampo P, Higler R, Deschler F, Price M, Sadhanala A, Pazos L M, Credgington D, Hanusch F, Bein T, Snaith H J, Friend R H 2014 Nat. Nanotechnol. 9 687Google Scholar
[7] Wang N, Cheng L, Ge R, Zhang S, Miao Y, Zou W, Yi C, Sun Y, Cao Y, Yang R, Wei Y, Guo Q, Ke Y, Yu M, Jin Y, Liu Y, Ding Q, Di D, Yang L, Xing G, Tian H, Jin C, Gao F, Friend R H, Wang J, Huang W 2016 Nat. Photon. 10 699Google Scholar
[8] Cao Y, Wang N, Tian H, Guo J, Wei Y, Chen H, Miao Y, Zou W, Pan K, He Y, Cao H, Ke Y, Xu M, Wang Y, Yang M, Du K, Fu Z, Kong D, Dai D, Jin Y, Li G, Li H, Peng Q, Wang J, Huang W 2018 Nature 562 249Google Scholar
[9] NREL 2019 Best Research-Cell Efficiencies 2019 https://www.nrel.gov/pv/cell-efficiency.html [2019-05-05]
[10] Wehrenfennig C, Eperon G E, Johnston M B, Snaith H J, Herz L M 2014 Adv. Mater. 26 1584Google Scholar
[11] Bi Y, Hutter E M, Fang Y, Dong Q, Huang J, Savenije T J 2016 J. Phys. Chem. Lett. 7 923Google Scholar
[12] Alarousu E, El-Zohry A M, Yin J, Zhumekenov A A, Yang C, Alhabshi E, Gereige I, AlSaggaf A, Malko A V, Bakr O M, Mohammed O F 2017 J. Phys. Chem. Lett. 8 4386Google Scholar
[13] Azarhoosh P, McKechnie S, Frost J M, Walsh A, van Schilfgaarde M 2016 APL Mater. 4 091501Google Scholar
[14] Ambrosio F, Wiktor J, de Angelis F, Pasquarello A 2018 Energy Environ. Sci. 11 101Google Scholar
[15] Chen T, Chen W L, Foley B J, Lee J, Ruff J P C, Ko J Y P, Brown C M, Harriger L W, Zhang D, Park C, Yoon M, Chang Y M, Choi J J, Lee S H 2017 PNAS 114 7519Google Scholar
[16] Frost J M, Butler K T, Brivio F, Hendon C H, van Schilfgaarde M, Walsh A 2014 Nano Lett. 14 2584Google Scholar
[17] Zhang C, Sun D, Vardeny Z V 2017 Adv. Electron. Mater. 3 1600426Google Scholar
[18] Zhang Z, Long R, Tokina M V, Prezhdo O V 2017 J. Am. Chem. Soc. 139 17327Google Scholar
[19] Yamada Y, Nakamura T, Endo M, Wakamiya A, Kanemitsu Y 2014 J. Am. Chem. Soc. 136 11610Google Scholar
[20] Stranks S D, Burlakov V M, Leijtens T, Ball J M, Goriely A, Snaith H J 2014 Phys. Rev. Appl. 2 034007Google Scholar
[21] Ma J, Wang L W 2015 Nano Lett. 15 248Google Scholar
[22] Pazos-Outón L M, Szumilo M, Lamboll R, Richter J M, Crespo-Quesada M, Abdi-Jalebi M, Beeson H J, Vrućinić M, Alsari M, Snaith H J, Ehrler B, Friend R H, Deschler F 2016 Science 351 1430Google Scholar
[23] Fang Y, Wei H, Dong Q, Huang J 2017 Nat. Commun. 8 14417Google Scholar
[24] Zheng F, Tan L Z, Liu S, Rappe A M 2015 Nano Lett. 15 7794Google Scholar
[25] Etienne T, Mosconi E, De Angelis F 2016 J. Phys. Chem. Lett. 7 1638Google Scholar
[26] Leppert L, Reyes-Lillo S E, Neaton J B 2016 J. Phys. Chem. Lett. 7 3683Google Scholar
[27] Pedesseau L, Kepenekian M, Robles R, Sapori D, Katan C, Even J 2016 Proc. of SPIE 9742 97421BGoogle Scholar
[28] Yu Z G 2016 J. Phys. Chem. Lett. 7 3078Google Scholar
[29] Isarov M, Tan L Z, Bodnarchuk M I, Kovalenko M V, Rappe A M, Lifshitz E 2017 Nano Lett. 17 5020Google Scholar
[30] Kepenekian M, Even J 2017 J. Phys. Chem. Lett. 8 3362Google Scholar
[31] Yu Z G 2017 Phys. Chem. Chem. Phys. 19 14907Google Scholar
[32] Che X, Traore B, Katan C, Kepenekian M, Even J 2018 Phys. Chem. Chem. Phys. 20 9638Google Scholar
[33] Li Z, Kolodziej C, Zhang T, McCleese C, Kovalsky A, Zhao Y, Lambrecht W R L, Burda C 2018 J. Am. Chem. Soc. 140 11811Google Scholar
[34] Stranks S D, Plochocka P 2018 Nat. Mater. 17 381Google Scholar
[35] Myung C W, Javaid S, Kim K S, Lee G 2018 ACS Energy Lett. 3 1294Google Scholar
[36] Niesner D, Hauck M, Shrestha S, Levchuk I, Matt G J, Osvet A, Batentschuk M, Brabec C, Weber H B, Fauster T 2018 PNAS 115 9509Google Scholar
[37] Stroppa A, Di Sante D, Barone P, Bokdam M, Kresse G, Franchini C, Whangbo M H, Picozzi S 2014 Nat. Commun. 5 5900Google Scholar
[38] Niesner D, Wilhelm M, Levchuk I, Osvet A, Shrestha S, Batentschuk M, Brabec C, Fauster T 2016 Phys. Rev. Lett. 117 126401Google Scholar
[39] Mosconi E, Etienne T, de Angelis F 2017 T. Phys. Chem. Lett. 8 2247Google Scholar
[40] Davies C L, Filip M R, Patel J B, Crothers T W, Verdi C, Wright A D, Milot R L, Giustino F, Johnston M B, Herz L M 2018 Nat. Commun. 9 293Google Scholar
[41] Sarritzu V, Sestu N, Marongiu D, Chang X, Wang Q, Masi S, Colella S, Rizzo A, Gocalinska A, Pelucchi E, Mercuri M L, Quochi F, Saba M, Mura A, Bongiovanni G 2018 Adv. Opt. Mater. 6 1701254Google Scholar
[42] Frohna K, Deshpande T, Harter J, Peng W, Barker B A, Neaton J B, Louie S G, Bakr O M, Hsieh D, Bernardi M 2018 Nat. Commun. 9 1829Google Scholar
[43] Zhang X, Shen J X, Wang W, Van de Walle C G 2018 ACS Energy Lett. 3 2329Google Scholar
[44] Zhang X, Shen J X, Van de Walle C G 2018 J. Phys. Chem. Lett. 9 2903Google Scholar
[45] Rashba E I, Sheka V I 1959 Fiz. Tverd. Tela: Collected Papers 2 162
[46] Rashba E I. 1959 Sov. Phys.-Solid State 1 368
[47] Zhai Y, Baniya S, Zhang C, Li J, Haney P, Sheng C X, Ehrenfreund E, Vardeny Z V 2017 Sci. Adv. 3 e1700704Google Scholar
[48] Dresselhaus G, Kip A F, Kittel C 1954 Phys. Rev. 95 568Google Scholar
[49] Zhang X, Liu Q, Luo J W, Freeman A J, Zunger A 2014 Nat. Phys. 10 387Google Scholar
[50] Ganichev S D, Golub L E 2014 Phys. Status Solidi B 251 1801Google Scholar
[51] Giglberger S, Golub L E, Bel'kov V V, Danilov S N, Schuh D, Gerl C, Rohlfing F, Stahl J, Wegscheider W, Weiss D, Prettl W, Ganichev S D 2007 Phys. Rev. B 75 035327
[52] Frantzeskakis E, Pons S, Mirhosseini H, Henk J, Ast C R, Grioni M 2008 Phys. Rev. Lett. 101 196805Google Scholar
[53] King P D, Hatch R C, Bianchi M, Ovsyannikov R, Lupulescu C, Landolt G, Slomski B, Dil J H, Guan D, Mi J L, Rienks E D, Fink J, Lindblad A, Svensson S, Bao S, Balakrishnan G, Iversen B B, Osterwalder J, Eberhardt W, Baumberger F, Hofmann P 2011 Phys. Rev. Lett. 107 096802Google Scholar
[54] Ishizaka K, Bahramy M S, Murakawa H, Sakano M, Shimojima T, Sonobe T, Koizumi K, Shin S, Miyahara H, Kimura A, Miyamoto K, Okuda T, Namatame H, Taniguchi M, Arita R, Nagaosa N, Kobayashi K, Murakami Y, Kumai R, Kaneko Y, Onose Y, Tokura Y 2011 Nat. Mater. 10 521Google Scholar
[55] Ganichev S D, Bel'kov V V, Golub L E, Ivchenko E L, Schneider P, Giglberger S, Eroms J, de Boeck J, Borghs G, Wegscheider W, Weiss D, Prettl W 2004 Phys. Rev. Lett. 92 256601Google Scholar
[56] Kepenekian M, Robles R, Katan C, Sapori D, Pedesseau L, Even J 2015 ACS Nano 9 11557Google Scholar
[57] Kim M, Im J, Freeman A J, Ihm J, Jin H 2014 PNAS 111 6900Google Scholar
[58] Etienne T, Mosconi E, de Angelis F 2018 J. Phys. Chem. C 122 124Google Scholar
[59] Hu S, Gao H, Qi Y, Tao Y, Li Y, Reimers J R, Bokdam M, Franchini C, Sante D D, Stroppa A, Ren W 2017 J. Phys. Chem. C 121 23045Google Scholar
[60] Amat A, Mosconi E, Ronca E, Quarti C, Umari P, Nazeeruddin M K, Graetzel M, de Angelis F 2014 Nano Lett. 14 3608Google Scholar
[61] Even J, Pedesseau L, Jancu J M, Katan C 2014 Phys. Status Solidi (RRL)
8 31Google Scholar [62] Motta C, El-Mellouhi F, Kais S, Tabet N, Alharbi F, Sanvito S 2015 Nat. Commun. 6 7026Google Scholar
[63] Marronnier A, Roma G, Carignano M A, Bonnassieux Y, Katan C, Even J, Mosconi E, de Angelis F 2019 J. Phys. Chem. C 123 291Google Scholar
[64] McKechnie S, Frost J M, Pashov D, Azarhoosh P, Walsh A, van Schilfgaarde M 2018 Phys. Rev. B 98 085108Google Scholar
[65] Beecher A N, Semonin O E, Skelton J M, Frost J M, Terban M W, Zhai H, Alatas A, Owen J S, Walsh A, Billinge S J L 2016 ACS Energy Lett. 1 880Google Scholar
[66] Hutter E M, Gélvez-Rueda M C, Osherov A, Bulović V, Grozema F C, Stranks S D, Savenije T J 2017 Nat. Mater. 16 115Google Scholar
[67] Eldridge P S, Leyland W J H, Lagoudakis P G, Harley R T, Phillips R T, Winkler R, Henini M, Taylor D 2010 Phys. Rev. B 82 045317Google Scholar
[68] Wang T, Daiber B, Frost J M, Mann S A, Garnett E C, Walsh A, Ehrler B 2017 Energy Environ. Sci. 10 509Google Scholar
[69] Wu B, Nguyen H T, Ku Z, Han G, Giovanni D, Mathews N, Fan H J, Sum T C 2016 Adv. Energy Mater. 6 1600551Google Scholar
[70] Priest A N, Nicholas R J, Cheng H H, Van der Burgt M, Harris J J, Foxon C T 1998 Physica B 249–251 562
[71] Choi Y J, Debbichi L, Lee D K, Park N G, Kim H, Kim D 2019 J. Phys. Chem. Lett. 10 2135Google Scholar
[72] Chen X, Lu H, Li Z, Zhai Y, Ndione P F, Berry J J, Zhu K, Yang Y, Beard M C 2018 ACS Energy Lett. 3 2273Google Scholar
[73] Yin J, Maity P, Xu L, El-Zohry A M, Li H, Bakr O M, Brédas J L, Mohammed O F 2018 Chem. Mater. 30 8538Google Scholar
[74] Even J, Pedesseau L, Jancu J M, Katan C 2013 J. Phys. Chem. Lett. 4 2999Google Scholar
[75] König U, Weinberger P, Redinger J, Erschbaumer H, Freeman A J 1989 Phys. Rev. B 39 7492Google Scholar
[76] Bertoni R, Nicholson C W, Waldecker L, Hübener H, Monney C, de Giovannini U, Puppin M, Hoesch M, Springate E, Chapman R T, Cacho C, Wolf M, Rubio A, Ernstorfer R 2016 Phys. Rev. Lett. 117 277201Google Scholar
[77] Bel’kov V V, Ganichev S D, Ivchenko E L, Tarasenko S A, Weber W, Giglberger S, Olteanu M, Tranitz H P, Danilov S N, Schneider P, Wegscheider W, Weiss D, Prettl W 2005 J. Phys.: Conden. Matter 17 3405Google Scholar
[78] Jusserand B, Richards D, Allan G, Priester C, Etienne B 1995 Phys. Rev. B 51 4707Google Scholar
[79] Sinova J, Valenzuela S O, Wunderlich J, Back C H, Jungwirth T 2015 Rev. Mod. Phys. 87 1213Google Scholar
[80] Datta S, Das B 1990 Appl. Phys. Lett. 56 665Google Scholar
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