Coulomb gap in the quantum Hall insulator

Details Coulomb gap in the quantum Hall insulator Coulomb gap in the quantum Hall insulator

2000-04-07

arxiv.org/abs/cond-mat/0004114v1

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

4 pages, to appear in ``Proceedings of the Tenth International Conference on Recent Progress in Many-Body Theories'', Seattle,

Scientific paper

10.1142/S0217979201005842

We calculate numerically the spectrum of disordered electrons in the lowest Landau level at filling factor 1/5 using the self-consistent Hartree-Fock approximation for systems containing up to 400 flux quanta. Special attention is paid to the correct treatment of the q=0 component of the Coulomb interaction. For sufficiently strong disorder, the system is an insulator at this filling factor. We observe numerically a Coulomb gap in the single-particle density of states (DOS). The DOS agrees quantitatively with the predictions for classical point charges.

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