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

Zhao, Jianyun; Zhang, Yuhe; Jain, J. K.

doi:10.1103/PhysRevLett.121.116802

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

Journal Article · Tue Sep 11 00:00:00 EDT 2018 · Physical Review Letters

DOI:https://doi.org/10.1103/PhysRevLett.121.116802· OSTI ID:1489112

Zhao, Jianyun ^[1]; Zhang, Yuhe ^[2]; Jain, J. K. ^[2]

The Pennsylvania State Univ., University Park, PA (United States); Penn State University
The Pennsylvania State Univ., University Park, PA (United States)

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.

View Accepted Manuscript (DOE)

Research Organization:: Pennsylvania State Univ., University Park, PA (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22)

Grant/Contract Number:: SC0005042

OSTI ID:: 1489112

Alternate ID(s):: OSTI ID: 1469437

Journal Information:: Physical Review Letters, Journal Name: Physical Review Letters Journal Issue: 11 Vol. 121; ISSN 0031-9007; ISSN PRLTAO

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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