Conductivity-peak broadening in the quantum Hall regime

D. G. Polyakov, Boris I Shklovskii

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103 Scopus citations

Abstract

We argue that hopping conductivity dominates on both sides of σxx peaks in low-mobility samples and use a theory of hopping of interacting electrons to estimate a width Δν of the peaks. Explicit expressions for Δν as a function of the temperature T, current J, and frequency ω are found. It is shown that Δν grows with T as (T/T1)κ, where κ is the inverse-localization-length exponent. The current J is shown to affect the peak width like the effective temperature Teff(J)J1/2 if Teff(J)T. The broadening of the Ohmic ac-conductivity peaks with frequency ω is found to be determined by the effective temperature Teff(ω)∼Latin small letter h with strokeω/kB.

Original languageEnglish (US)
Pages (from-to)11167-11175
Number of pages9
JournalPhysical Review B
Volume48
Issue number15
DOIs
StatePublished - Jan 1 1993

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