Formula for the widths of quantum-Hall-effect plateaus

Details Formula for the widths of quantum-Hall-effect plateaus Formula for the widths of quantum-Hall-effect plateaus

1993-07-19

arxiv.org/abs/cond-mat/9307037v1

Physics

Condensed Matter

REVTeX 3.0, pp. 9, (6 PostScript figures on request) preprint: Inst. Theor. Festkorperphysik, Karlsruhe, 29. June 1993

Scientific paper

We derive an empirical formula for the width of quantum Hall effect plateaus which is free of adjustable parameters. It describes the integer, fractional and $\nu = 0$ (Wigner insulator) quantum Hall effect in single heterojunctions. The temperature scale of the existence of these three phenomena is the same as the melting temperature of a classical Wigner crystal. We conclude that the basic assumption of the current theory of QHE that the plateau width is determined by the disorder is highly improbable.

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