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

Fuente: arXiv
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Main Authors: Dong, Yu-jiang, Wang, Xinghao, Zheng, Jianmin, Qiao, Weiliang, Du, Rui-Rui, Pfeiffer, Loren N., West, Kenneth W., Baldwin, Kirk W.
Format: Preprint
Published: 2025
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author Dong, Yu-jiang
Wang, Xinghao
Zheng, Jianmin
Qiao, Weiliang
Du, Rui-Rui
Pfeiffer, Loren N.
West, Kenneth W.
Baldwin, Kirk W.
author_facet Dong, Yu-jiang
Wang, Xinghao
Zheng, Jianmin
Qiao, Weiliang
Du, Rui-Rui
Pfeiffer, Loren N.
West, Kenneth W.
Baldwin, Kirk W.
contents 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 filling factors $ν=p/(2p+1) (p=\pm 1,\pm 2,\pm 3,...)$, 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 100 mK. 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.
format Preprint
id arxiv_https___arxiv_org_abs_2504_09996
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Nonlinear transport of Wigner solid phase surrounding the two-flux composite fermion liquid
Dong, Yu-jiang
Wang, Xinghao
Zheng, Jianmin
Qiao, Weiliang
Du, Rui-Rui
Pfeiffer, Loren N.
West, Kenneth W.
Baldwin, Kirk W.
Mesoscale and Nanoscale Physics
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 filling factors $ν=p/(2p+1) (p=\pm 1,\pm 2,\pm 3,...)$, 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 100 mK. 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.
title Nonlinear transport of Wigner solid phase surrounding the two-flux composite fermion liquid
topic Mesoscale and Nanoscale Physics
url https://arxiv.org/abs/2504.09996