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Boltzmann theory of the inverse Edelstein effect in a two-dimensional Rashba gas

Irene Gaiardoni1,*, Mattia Trama1,†, Alfonso Maiellaro1,2, Claudio Guarcello1,3, Francesco Romeo1,3, and Roberta Citro1,2,3

  • 1Physics Department “E.R. Caianiello”, University of Salerno, Via Giovanni Paolo II, 132, I-84084 Fisciano, SA, Italy
  • 2CNR-SPIN, Via Giovanni Paolo II, 132, I-84084 Salerno, Italy
  • 3INFN, Sezione di Napoli, Gruppo Collegato di Salerno, I-84126 Napoli, Italy

  • *Contact author: igaiardoni@unisa.it
  • †Contact author: mtrama@unisa.it
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Phys. Rev. B 113, 195419 – Published 15 May, 2026

DOI: https://doi.org/10.1103/8srn-y73s

Abstract

We investigate the inverse Edelstein effect in a nonhomogeneous system consisting of a ferromagnetic layer coupled to a Rashba two-dimensional electron gas. Within a semiclassical Boltzmann framework, we derive analytical expressions for the charge and spin currents and analyze their dependence on key parameters such as the chemical potential and the Rashba coupling strength. We show how interfacial exchange and spin-orbit interactions jointly control the efficiency of spin-to-charge conversion, leading to distinct regimes characterized by qualitatively different transport responses. A central outcome of our work is the availability of closed-form analytical results, which provide direct physical insight and enable a transparent and quantitative benchmarking with experiments on complex oxide interfaces, such as LaAlO3/SrTiO3.

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References (57)

  1. S. A. Wolf, D. D. Awschalom, R. A. Buhrman, J. M. Daughton, S. von Molnár, M. L. Roukes, A. Y. Chtchelkanova, and D. M. Treger, Spintronics: A spin-based electronics vision for the future, Science 294, 1488 (2001).
  2. M. N. Baibich, J. M. Broto, A. Fert, F. N. Van Dau, F. Petroff, P. Etienne, G. Creuzet, A. Friederich, and J. Chazelas, Giant magnetoresistance of (001)Fe/(001)Cr magnetic superlattices, Phys. Rev. Lett. 61, 2472 (1988).
  3. G. Binasch, P. Grünberg, F. Saurenbach, and W. Zinn, Enhanced magnetoresistance in layered magnetic structures with antiferromagnetic interlayer exchange, Phys. Rev. B 39, 4828 (1989).
  4. I. Žutić, J. Fabian, and S. Das Sarma, Spintronics: Fundamentals and applications, Rev. Mod. Phys. 76, 323 (2004).
  5. S. Maekawa, Concepts in Spin Electronics (Oxford University Press, Oxford, 2006).
  6. A. Soumyanarayanan, N. Reyren, A. Fert, and C. Panagopoulos, Emergent phenomena induced by spin-orbit coupling at surfaces and interfaces, Nature (London) 539, 509 (2016).
  7. J. Sinova, D. Culcer, Q. Niu, N. A. Sinitsyn, T. Jungwirth, and A. H. MacDonald, Universal intrinsic spin Hall effect, Phys. Rev. Lett. 92, 126603 (2004).
  8. S. Gariglio, A. Caviglia, J.-M. Triscone, and M. Gabay, A spin-orbit playground: Surfaces and interfaces of transition metal oxides, Rep. Prog. Phys. 82, 012501 (2019).
  9. M. Trama, V. Cataudella, C. A. Perroni, F. Romeo, and R. Citro, Gate tunable anomalous Hall effect: Berry curvature probe at oxides interfaces, Phys. Rev. B 106, 075430 (2022).
  10. M. Trama, V. Cataudella, C. A. Perroni, F. Romeo, and R. Citro, Tunable spin and orbital Edelstein effect at (111) LaAlO3/SrTiO3 interface, Nanomaterials 12, 2494 (2022).
  11. F. Trier, P. Noël, J.-V. Kim, J.-P. Attané, L. Vila, and M. Bibes, Oxide spin-orbitronics: Spin-charge interconversion and topological spin textures, Nat. Rev. Mater. 7, 258 (2022).
  12. A. Maiellaro, M. Trama, J. Settino, C. Guarcello, F. Romeo, and R. Citro, Engineered Josephson diode effect in kinked Rashba nanochannels, SciPost Phys. 17, 101 (2024).
  13. E. I. Rashba, Spin-orbit coupling in condensed matter physics, Sov. Phys. Solid State 2, 1109 (1960).
  14. V. P. Amin and M. D. Stiles, Spin transport at interfaces with spin-orbit coupling: Phenomenology, Phys. Rev. B 94, 104420 (2016).
  15. D. C. Vaz, P. Noël, A. Johansson, B. Göbel, F. Y. Bruno, G. Singh, S. McKeown-Walker, F. Trier, L. M. Vicente-Arche, A. Sander, et al., Mapping spin-charge conversion to the band structure in a topological oxide two-dimensional electron gas, Nat. Mater. 18, 1187 (2019).
  16. J.-i. Inoue, G. E. W. Bauer, and L. W. Molenkamp, Diffuse transport and spin accumulation in a Rashba two-dimensional electron gas, Phys. Rev. B 67, 033104 (2003).
  17. L. Vicente-Arche, et al., Spin-charge interconversion in KTaO3 2D electron gases, Adv. Mater. 33, 2102102 (2021).
  18. S. Varotto, A. Johansson, B. Göbel, L. M. Vicente-Arche, S. Mallik, J. Bréhin, R. Salazar, F. Bertran, P. L. Fèvre, N. Bergeal, et al., Direct visualization of Rashba-split bands and spin/orbital-charge interconversion at KTaO3 interfaces, Nat. Commun. 13, 6165 (2022).
  19. M. Bibes, J. E. Villegas, and A. Barthélémy, Ultrathin oxide films and interfaces for electronics and spintronics, Adv. Phys. 60, 5 (2011).
  20. P. Gambardella and I. M. Miron, Current-induced spin-orbit torques, Philos. Trans. R. Soc. A 369, 3175 (2011).
  21. G. Seibold, S. Caprara, M. Grilli, and R. Raimondi, Theory of the spin galvanic effect at oxide interfaces, Phys. Rev. Lett. 119, 256801 (2017).
  22. L. J. D’Onofrio, M. T. Mercaldo, W. Brzezicki, A. Kłosiński, F. Mazzola, C. Ortix, and M. Cuoco, Filtering spin and orbital moment in centrosymmetric systems, Phys. Rev. B 112, 085428 (2025).
  23. M. Trama, V. Cataudella, C. A. Perroni, F. Romeo, and R. Citro, Effect of confinement and Coulomb interactions on the electronic structure of the (111) LaAlO3/SrTiO3 interface, Nanomaterials 13, 819 (2023).
  24. M. Trama, I. Gaiardoni, C. Guarcello, J. I. Facio, A. Maiellaro, F. Romeo, R. Citro, and J. van den Brink, Nonlinear anomalous Edelstein response at altermagnetic interfaces, Phys. Rev. B 112, 184404 (2025).
  25. J. Zhai, M. Trama, H. Liu, Z. Zhu, Y. Zhu, C. A. Perroni, R. Citro, P. He, and J. Shen, Large nonlinear transverse conductivity and Berry curvature in KTaO3 based two-dimensional electron gas, Nano Lett. 23, 11892 (2023).
  26. C. Guarcello, A. Maiellaro, J. Settino, I. Gaiardoni, M. Trama, F. Romeo, and R. Citro, Probing topological superconductivity of oxide nanojunctions using fractional Shapiro steps, Chaos, Solitons Fractals 189, 115596 (2024).
  27. A. Maiellaro, J. Settino, C. Guarcello, F. Romeo, and R. Citro, Hallmarks of orbital-flavored Majorana states in Josephson junctions based on oxide nanochannels, Phys. Rev. B 107, L201405 (2023).
  28. Y. A. Bychkov and É. I. Rashba, Properties of a 2D electron gas with lifted spectral degeneracy, JETP Lett. 39, 78 (1984).
  29. A. Maiellaro, F. Romeo, M. Trama, I. Gaiardoni, J. Settino, C. Guarcello, N. Bergeal, M. Bibes, and R. Citro, Theory of charge-to-spin conversion under quantum confinement, Phys. Rev. Res. 7, 043100 (2025).
  30. S. Ando, Y. Tanaka, M. Cuoco, L. Chirolli, and M. T. Mercaldo, Spin and orbital Edelstein effect in spin-orbit coupled noncentrosymmetric superconductors, Phys. Rev. B 110, 184503 (2024).
  31. B. Zhao, B. Karpiak, D. Khokhriakov, A. Johansson, A. M. Hoque, X. Xu, Y. Jiang, I. Mertig, and S. P. Dash, Unconventional charge-spin conversion in Weyl-semimetal WTe2, Adv. Mater. 32, 2000818 (2020).
  32. A. Maleki Sheikhabadi, I. Miatka, E. Y. Sherman, and R. Raimondi, Theory of the inverse spin galvanic effect in quantum wells, Phys. Rev. B 97, 235412 (2018).
  33. V. M. Edelstein, Spin polarization of conduction electrons induced by electric current in two-dimensional asymmetric electron systems, Solid State Commun. 73, 233 (1990).
  34. S. Leiva-Montecinos, J. Henk, I. Mertig, and A. Johansson, Spin and orbital Edelstein effect in a bilayer system with Rashba interaction, Phys. Rev. Res. 5, 043294 (2023).
  35. A. Aronov and Y. B. Lyanda-Geller, Nuclear electric resonance and orientation of carrier spins by an electric field, Sov. J. Exp. Theor. Phys. Lett. 50, 431 (1989).
  36. A. Johansson, B. Göbel, J. Henk, M. Bibes, and I. Mertig, Spin and orbital Edelstein effects in a two-dimensional electron gas: Theory and application to SrTiO3 interfaces, Phys. Rev. Res. 3, 013275 (2021).
  37. A. Johansson, J. Henk, and I. Mertig, Theoretical aspects of the Edelstein effect for anisotropic two-dimensional electron gas and topological insulators, Phys. Rev. B 93, 195440 (2016).
  38. I. Gaiardoni, M. Trama, A. Maiellaro, C. Guarcello, F. Romeo, and R. Citro, Edelstein effect in isotropic and anisotropic Rashba models, Condens. Matter 10, 15 (2025).
  39. K. Shen, G. Vignale, and R. Raimondi, Microscopic theory of the inverse Edelstein effect, Phys. Rev. Lett. 112, 096601 (2014).
  40. Y. K. Kato, R. C. Myers, A. C. Gossard, and D. D. Awschalom, Current-induced spin polarization in strained semiconductors, Phys. Rev. Lett. 93, 176601 (2004).
  41. A. Y. Silov, P. Blajnov, J. Wolter, R. Hey, K. Ploog, and N. Averkiev, Current-induced spin polarization at a single heterojunction, Appl. Phys. Lett. 85, 5929 (2004).
  42. C. Gorini, R. Raimondi, and P. Schwab, Onsager relations in a two-dimensional electron gas with spin-orbit coupling, Phys. Rev. Lett. 109, 246604 (2012).
  43. J. R. Sánchez, L. Vila, G. Desfonds, S. Gambarelli, J. Attané, J. De Teresa, C. Magén, and A. Fert, Spin-to-charge conversion using Rashba coupling at the interface between non-magnetic materials, Nat. Commun. 4, 2944 (2013).
  44. G. Vignale and I. V. Tokatly, Theory of the nonlinear Rashba-Edelstein effect: The clean electron gas limit, Phys. Rev. B 93, 035310 (2016).
  45. S. Massabeau, O. Paull, A. Pezo, F. Miljevic, M. Mičica, A. Grisard, P. Morfin, R. Lebrun, H. Jaffrès, S. Dhillon, et al., Inverse Rashba Edelstein THz emission modulation induced by ferroelectricity in CoFeB/PtSe2/MoSe2//LiNbO3 systems, APL Mater. 13, 041102 (2025).
  46. F. Liu, C. Zhou, R. Tang, G. Chai, and C. Jiang, Controllable charge-spin conversion by Rashba-Edelstein effect at Cu/Ta interface, J. Magn. Magn. Mater. 540, 168462 (2021).
  47. C. Monaco, A. Ferreira, and R. Raimondi, Spin Hall and inverse spin galvanic effects in graphene with strong interfacial spin-orbit coupling: A quasi-classical Green's function approach, Phys. Rev. Res. 3, 033137 (2021).
  48. M. Büttiker, Scattering theory of current and intensity noise correlations in conductors and wave guides, Phys. Rev. B 46, 12485 (1992).
  49. M. Büttiker, Four-terminal phase-coherent conductance, Phys. Rev. Lett. 57, 1761 (1986).
  50. H. Geng, W. Luo, W.-Y. Deng, L. Sheng, R. Shen, and D.-Y. Xing, Theory of inverse Edelstein effect of the surface states of a topological insulator, Sci. Rep. 7, 3755 (2017).
  51. V. Brosco, L. Benfatto, E. Cappelluti, and C. Grimaldi, Unconventional dc transport in Rashba electron gases, Phys. Rev. Lett. 116, 166602 (2016).
  52. Y. Y. Ilani, A. Tylan-Tyler, P. Irvin, and J. Levy, Physics of SrTiO3-based heterostructures and nanostructures: A review, Rep. Prog. Phys. 81, 036503 (2018).
  53. J. Shi, P. Zhang, D. Xiao, and Q. Niu, Proper definition of spin current in spin-orbit coupled systems, Phys. Rev. Lett. 96, 076604 (2006).
  54. N. Sugimoto, S. Onoda, S. Murakami, and N. Nagaosa, Spin Hall effect of a conserved current: Conditions for a nonzero spin Hall current, Phys. Rev. B 73, 113305 (2006).
  55. F. Romeo and R. Citro, Spin-torque generation by dc or ac voltages in quasi-one-dimensional magnetic layered structures, Phys. Rev. B 81, 045307 (2010).
  56. P. Schwab, R. Raimondi, and C. Gorini, Spin-charge locking and tunneling into a helical metal, Europhys. Lett. 93, 67004 (2011).
  57. L. Sheng, D. Y. Xing, Z. D. Wang, and J. Dong, Quasiclassical approach to magnetotransport in magnetic inhomogeneous systems, Phys. Rev. B 55, 5908 (1997).

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Phys. Rev. B 113, 195419– Published 15 May, 2026
  • Received 5 January 2026
  • Revised 10 March 2026
  • Accepted 24 April 2026
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