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  • Letter
  • Open Access

Nonlinear transport of Wigner solid phase surrounding the two-flux composite fermion liquid

Yu-jiang Dong, Xinghao Wang, Jianmin Zheng, Weiliang Qiao, and Rui-Rui Du*

Loren N. Pfeiffer, Kenneth W. West, and Kirk W. Baldwin

  • *Contact author: rrd@pku.edu.cn
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Phys. Rev. Research 7, L022011 – Published 9 April, 2025

DOI: https://doi.org/10.1103/PhysRevResearch.7.L022011

Abstract

We have investigated the low temperature (T) transport properties of fractional quantum Hall (FQH) states in a high-mobility two-dimensional hole gas. According to the composite fermion (CF) model, FQH states stemming from a half-filled Landau level, specifically at fillinsg factors ν=p/(2p+1) (p=±1,±2,±3,...), can be associated with two-flux-attached CFs at the corresponding Lambda filling factor p. The zero-resistance minima and Hall plateaus of these states exhibit unusual temperature dependencies, characterized by rapid increases in width below a threshold temperature around 100mK. Differential conductivity measurements from Corbino samples reveal that the regimes surrounding the CF liquid display clear nonlinear transport characteristics. This nonlinearity implies that each CF liquid is surrounded by CF solid phase composed of dilute CF excitations. Quantitatively, the applied electric field E influences the motion of CF solid in a way analogous to T, which is dubbed the “E−T duality.” Our analysis indicates that this E−T duality is consistent with the Berezinskii-Kosterlitz-Thouless theory in two-dimensional phase transitions.

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Phys. Rev. Research 7, L022011– Published 9 April, 2025
  • Received 23 December 2024
  • Accepted 11 March 2025
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Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI.

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