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Title: Crystallization in the Fractional Quantum Hall Regime Induced by Landau-Level Mixing

Abstract

Here, the interplay between strongly correlated liquid and crystal phases for two-dimensional electrons exposed to a high transverse magnetic field is of fundamental interest. Through the non-perturbative fixed phase diffusion Monte Carlo method, we determine the phase diagram of the Wigner crystal in the ν – κ plane, where ν is the filling factor and κ is the strength of Landau level mixing. The phase boundary is seen to exhibit a striking ν dependence, with the states away from the magic filling factors ν = n/(2pn + 1) being much more susceptible to crystallization due to Landau level mixing than those at ν = n/(2pn + 1). Our results explain the qualitative difference between the experimental behaviors observed in n-doped and p-doped GaAs quantum wells, and, in particular, the existence of an insulating state for ν < 1/3 and also for 1/3 < ν < 2/5 in low density p-doped systems. We predict that in the vicinity of ν = 1/5 and ν = 2/9, increasing LL mixing causes a transition not into an ordinary electron Wigner crystal but rather into a strongly correlated crystal of composite fermions carrying two vortices.

Authors:
 [1];  [1];  [1]
  1. The Pennsylvania State Univ., University Park, PA (United States)
Publication Date:
Research Org.:
Pennsylvania State Univ., University Park, PA (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES)
OSTI Identifier:
1489112
Alternate Identifier(s):
OSTI ID: 1469437
Grant/Contract Number:  
SC0005042
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review Letters
Additional Journal Information:
Journal Volume: 121; Journal Issue: 11; Journal ID: ISSN 0031-9007
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; composite fermions; Wigner crystal; fractional quantum Hall effect; Landau level mixing

Citation Formats

Zhao, Jianyun, Zhang, Yuhe, and Jain, J. K. Crystallization in the Fractional Quantum Hall Regime Induced by Landau-Level Mixing. United States: N. p., 2018. Web. doi:10.1103/PhysRevLett.121.116802.
Zhao, Jianyun, Zhang, Yuhe, & Jain, J. K. Crystallization in the Fractional Quantum Hall Regime Induced by Landau-Level Mixing. United States. https://doi.org/10.1103/PhysRevLett.121.116802
Zhao, Jianyun, Zhang, Yuhe, and Jain, J. K. Tue . "Crystallization in the Fractional Quantum Hall Regime Induced by Landau-Level Mixing". United States. https://doi.org/10.1103/PhysRevLett.121.116802. https://www.osti.gov/servlets/purl/1489112.
@article{osti_1489112,
title = {Crystallization in the Fractional Quantum Hall Regime Induced by Landau-Level Mixing},
author = {Zhao, Jianyun and Zhang, Yuhe and Jain, J. K.},
abstractNote = {Here, the interplay between strongly correlated liquid and crystal phases for two-dimensional electrons exposed to a high transverse magnetic field is of fundamental interest. Through the non-perturbative fixed phase diffusion Monte Carlo method, we determine the phase diagram of the Wigner crystal in the ν – κ plane, where ν is the filling factor and κ is the strength of Landau level mixing. The phase boundary is seen to exhibit a striking ν dependence, with the states away from the magic filling factors ν = n/(2pn + 1) being much more susceptible to crystallization due to Landau level mixing than those at ν = n/(2pn + 1). Our results explain the qualitative difference between the experimental behaviors observed in n-doped and p-doped GaAs quantum wells, and, in particular, the existence of an insulating state for ν < 1/3 and also for 1/3 < ν < 2/5 in low density p-doped systems. We predict that in the vicinity of ν = 1/5 and ν = 2/9, increasing LL mixing causes a transition not into an ordinary electron Wigner crystal but rather into a strongly correlated crystal of composite fermions carrying two vortices.},
doi = {10.1103/PhysRevLett.121.116802},
journal = {Physical Review Letters},
number = 11,
volume = 121,
place = {United States},
year = {Tue Sep 11 00:00:00 EDT 2018},
month = {Tue Sep 11 00:00:00 EDT 2018}
}

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Cited by: 26 works
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Works referencing / citing this record:

Composite fermion liquid to Wigner solid transition in the lowest Landau level of zinc oxide
journal, October 2018