Crystallization in the Fractional Quantum Hall Regime Induced by LandauLevel Mixing
Abstract
Here, the interplay between strongly correlated liquid and crystal phases for twodimensional electrons exposed to a high transverse magnetic field is of fundamental interest. Through the nonperturbative 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 ndoped and pdoped 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 pdoped 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:

 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) (SC22)
 OSTI Identifier:
 1489112
 Alternate Identifier(s):
 OSTI ID: 1469437
 Grant/Contract Number:
 SC0005042
 Resource Type:
 Journal Article: Accepted Manuscript
 Journal Name:
 Physical Review Letters
 Additional Journal Information:
 Journal Volume: 121; Journal Issue: 11; Journal ID: ISSN 00319007
 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 LandauLevel 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 LandauLevel Mixing. United States. doi:10.1103/PhysRevLett.121.116802.
Zhao, Jianyun, Zhang, Yuhe, and Jain, J. K. Tue .
"Crystallization in the Fractional Quantum Hall Regime Induced by LandauLevel Mixing". United States. doi: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 LandauLevel Mixing},
author = {Zhao, Jianyun and Zhang, Yuhe and Jain, J. K.},
abstractNote = {Here, the interplay between strongly correlated liquid and crystal phases for twodimensional electrons exposed to a high transverse magnetic field is of fundamental interest. Through the nonperturbative 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 ndoped and pdoped 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 pdoped 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},
issn = {00319007},
number = 11,
volume = 121,
place = {United States},
year = {2018},
month = {9}
}
Web of Science
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