Influence of Landau-level mixing on Wigner crystallization in graphene

Abstract

Graphene, with its massless linearly-dispersing carriers, in the quantum Hall regime provides an instructive comparison with conventional two-dimensional (2D) systems in which carriers have a nonzero band mass and quadratic dispersion. We investigate the influence of Landau level mixing in graphene on Wigner crystal states in the $n^{\mathrm{th}}$ Landau level obtained using single Landau level approximation. We show that the Landau level mixing does not qualitatively change the phase diagram as a function of partial filling factor $\nu$ in the $n^{\mathrm{th}}$ level. We find that the inter-Landau level mixing, quantified by relative occupations of the two Landau levels, ${\rho }_{n+1}/{\rho }_n$, oscillates around 2% and, in general, remains small ($<4$) irrespective of the Landau level index $n$. Our results show that the single Landau level approximation is applicable in high Landau levels, even though the energy gap between the adjacent Landau levels vanishes.

6 pages, 3 figures

References in corpus (4)

• Competition between quantum-liquid and electron-solid phases in intermediate Landau levels
• Wigner crystal and bubble phases in graphene in the quantum Hall regime
• Broken-Symmetry States of Dirac Fermions in Graphene with A Partially Filled High Landau Level
• Scaling Approach to the Phase Diagram of Quantum Hall Systems

Cited by in corpus (5)

• Skyrme and Wigner crystals in graphene
• Competition between fractional quantum Hall liquid and electron solid phases in the Landau levels of multilayer graphene
• Phase diagram for quantum Hall states in graphene
• Landau-level composition of bound exciton states in magnetic field
• Two-dimensional bound excitons in real space and Landau quantization space: A comparative study