Role of disorder in half-filled high Landau levels

Abstract

We study the effects of disorder on the quantum Hall stripe phases in half-filled high Landau levels using exact numerical diagonalization. We show that, in the presence of weak disorder, a compressible, striped charge density wave, becomes the true ground state. The projected electron density profile resembles that of a smectic liquid. With increasing disorder strength W, we find that there exists a critical value, W_c \sim 0.12 e^2/εl, where a transition/crossover to an isotropic phase with strong local electron density fluctuations takes place. The many-body density of states are qualitatively distinguishable in these two phases and help elucidate the nature of the transition.

4 pages, 4 figures

References in corpus (2)

• Theory of the Quantum Hall Smectic Phase, I: Low Energy Properties of the Quantum Hall Smectic Fixed Point
• Theory of the Quantum Hall Smectic Phase II: Microscopic Theory

Cited by in corpus (3)

• Disorder driven collapse of the mobility gap and transition to an insulator in fractional quantum Hall effect
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• Broken-Symmetry States of Dirac Fermions in Graphene with A Partially Filled High Landau Level