Conductivity peaks broadening in the quantum Hall regime

D. G. Polyakov; Boris I Shklovskii

doi:10.1016/0378-4371(93)90549-J

Conductivity peaks broadening in the quantum Hall regime

D. G. Polyakov, Boris I Shklovskii

Physics and Astronomy (Twin Cities)

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Abstract

We argue that it is the hopping transport that is responsible for broadening of the σ_xx peaks. Explicit expressions for the width Δν of a peak 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 act like the effective temperature T_eff(J) ∝ J^{1 2} if T_eff(J){A figure is presented}T. Broadening of the ohmic ac-conductivity peaks with frequency ω is found to be determined by the effective temperature T_eff(ω)∼h {combining short stroke overlay}ω.

Original language	English (US)
Pages (from-to)	476-482
Number of pages	7
Journal	Physica A: Statistical Mechanics and its Applications
Volume	200
Issue number	1-4
DOIs	https://doi.org/10.1016/0378-4371(93)90549-J
State	Published - Nov 15 1993

Bibliographical note

Funding Information:
We are gratefult o H.P. Wei for stimulatingd iscussionsa nd to L.W. Engel for providing us with the experimentald ata [27]. This work was supportedb y the National Science Foundation under Grant No. DMR-9020587.

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title = "Conductivity peaks broadening in the quantum Hall regime",

abstract = "We argue that it is the hopping transport that is responsible for broadening of the σxx peaks. Explicit expressions for the width Δν of a peak 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 act like the effective temperature Teff(J) ∝ J 1 2 if Teff(J){A figure is presented}T. Broadening of the ohmic ac-conductivity peaks with frequency ω is found to be determined by the effective temperature Teff(ω)∼h {combining short stroke overlay}ω.",

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AU - Shklovskii, Boris I

N1 - Funding Information: We are gratefult o H.P. Wei for stimulatingd iscussionsa nd to L.W. Engel for providing us with the experimentald ata [27]. This work was supportedb y the National Science Foundation under Grant No. DMR-9020587.

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N2 - We argue that it is the hopping transport that is responsible for broadening of the σxx peaks. Explicit expressions for the width Δν of a peak 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 act like the effective temperature Teff(J) ∝ J 1 2 if Teff(J){A figure is presented}T. Broadening of the ohmic ac-conductivity peaks with frequency ω is found to be determined by the effective temperature Teff(ω)∼h {combining short stroke overlay}ω.

AB - We argue that it is the hopping transport that is responsible for broadening of the σxx peaks. Explicit expressions for the width Δν of a peak 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 act like the effective temperature Teff(J) ∝ J 1 2 if Teff(J){A figure is presented}T. Broadening of the ohmic ac-conductivity peaks with frequency ω is found to be determined by the effective temperature Teff(ω)∼h {combining short stroke overlay}ω.

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Conductivity peaks broadening in the quantum Hall regime

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