- Letter
- Open Access
Nonlinear response of a two-dimensional electron gas in the quantum Hall regime
Phys. Rev. Research 5, L032046 – Published 28 September, 2023
DOI: https://doi.org/10.1103/PhysRevResearch.5.L032046
Abstract
Breaking of inversion symmetry leads to nonlinear and nonreciprocal electron transport, in which the voltage response does not invert with the reversal of the current direction. Many systems have incorporated inversion symmetry breaking into their band or crystal structures. In this Letter, we demonstrate that a conventional two-dimensional electron gas system with a back gate shows nonreciprocal behavior (with voltage proportional to current squared) in the quantum Hall regime, which depends on the out-of-plane magnetic field and contact configuration. The inversion symmetry is broken due to the presence of the back gate and magnetic field, and our phenomenological model provides a qualitative explanation of the experimental data. Our results suggest a universal mechanism that gives rise to nonreciprocal behavior in gated samples.
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References (18)
- R. Kubo, Statistical-mechanical theory of irreversible processes. I. General theory and simple applications to magnetic and conduction problems, J. Phys. Soc. Jpn. 12, 570 (1957).
- R. Landauer, Spatial variation of currents and fields due to localized scatterers in metallic conduction, IBM J. Res. Dev. 1, 223 (1957).
- R. Landauer, Electrical resistance of disordered one-dimensional lattices, Philos. Mag. 21, 863 (1970).
- M. Büttiker, Four-Terminal Phase-Coherent Conductance, Phys. Rev. Lett. 57, 1761 (1986).
- H. B. G. Casimir, On Onsager's principle of microscopic reversibility, Rev. Mod. Phys. 17, 343 (1945).
- L. Onsager, Reciprocal relations in irreversible processes. I, Phys. Rev. 37, 405 (1931).
- L. Onsager, Reciprocal relations in irreversible processes. II. Phys. Rev. 38, 2265 (1931).
- G. L. J. A. Rikken, J. Fölling, and P. Wyder, Electrical Magnetochiral Anisotropy, Phys. Rev. Lett. 87, 236602 (2001).
- Y. Tokura and N. Nagaosa, Nonreciprocal responses from non-centrosymmetric quantum materials, Nat. Commun. 9, 3740 (2018).
- F. Ando, Y. Miyasaka, T. Li, J. Ishizuka, T. Arakawa, Y. Shiota, T. Moriyama, Y. Yanase, and T. Ono, Observation of superconducting diode effect, Nature (London) 584, 373 (2020).
- A. Daido, Y. Ikeda, and Y. Yanase, Intrinsic Superconducting Diode Effect, Phys. Rev. Lett. 128, 037001 (2022).
- I. Sodemann and L. Fu, Quantum Nonlinear Hall Effect Induced by Berry Curvature Dipole in Time-Reversal Invariant Materials, Phys. Rev. Lett. 115, 216806 (2015).
- Q. Ma, S. Y. Xu, H. Shen, D. MacNeill, V. Fatemi, T. R. Chang, A. M. Mier Valdivia, S. Wu, Z. Du, C. H. Hsu, S. Fang, Q. D. Gibson, K. Watanabe, T. Taniguchi, R. J. Cava, E. Kaxiras, H. Z. Lu, H. Lin, L. Fu, N. Gedik et al., Observation of the nonlinear Hall effect under time-reversal-symmetric conditions, Nature (London) 565, 337 (2019).
- M. Berl, L. Tiemann, W. Dietsche, H. Karl, and W. Wegscheider, Structured back gates for high-mobility two-dimensional electron systems using oxygen ion implantation, Appl. Phys. Lett. 108, 132102 (2016).
- R. Ilan, N. R. Cooper, and A. Stern, Longitudinal resistance of a quantum Hall system with a density gradient, Phys. Rev. B 73, 235333 (2006).
- S. H. Simon and B. I. Halperin, Explanation for the Resistivity Law in Quantum Hall Systems, Phys. Rev. Lett. 73, 3278 (1994).
- K. E. Nagaev, O. S. Ayvazyan, N. Yu. Sergeeva, and M. Büttiker, Magnetic-Field-Induced Non-Gaussian Fluctuations in Macroscopic Equilibrium Systems, Phys. Rev. Lett. 105, 146802 (2010).
- W. Pan, J. S. Xia, H. L. Stormer, D. C. Tsui, C. L. Vicente, E. D. Adams, N. S. Sullivan, L. N. Pfeiffer, K. W. Baldwin, and K. W. West, Quantization of the Diagonal Resistance: Density Gradients and the Empirical Resistance Rule in a 2D System, Phys. Rev. Lett. 95, 066808 (2005).