TY - JOUR
T1 - Crystallization in the Fractional Quantum Hall Regime Induced by Landau-Level Mixing
AU - Zhao, Jianyun
AU - Zhang, Yuhe
AU - Jain, J. K.
N1 - Funding Information:
We are grateful to Ajit Balram and Mansour Shayegan for very useful discussions and acknowledge financial support from the U. S. Department of Energy, Office of Basic Energy Sciences, under Award No. DE-SC0005042.
Publisher Copyright:
© 2018 American Physical Society.
PY - 2018/9/11
Y1 - 2018/9/11
N2 - 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 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 (LL) 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- and p-doped gallium arsenide 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.
AB - 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 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 (LL) 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- and p-doped gallium arsenide 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.
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U2 - 10.1103/PhysRevLett.121.116802
DO - 10.1103/PhysRevLett.121.116802
M3 - Article
C2 - 30265120
AN - SCOPUS:85053346040
SN - 0031-9007
VL - 121
JO - Physical review letters
JF - Physical review letters
IS - 11
M1 - 116802
ER -