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Role of disorder in half-filled high Landau levels

D. N. Sheng·Ziqiang Wang·B. Friedman
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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.

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D. N. Sheng, Ziqiang Wang, B. Friedman. 2002-09-27. Role of disorder in half-filled high Landau levels. https://doi.org/10.1103/physrevb.66.161103

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