Conductivity peaks in the quantum Hall regime: Broadening with temperature, current, and frequency

D. G. Polyakov; B. I. Shklovskii

doi:10.1016/0039-6028(94)90876-1

Conductivity peaks in the quantum Hall regime: Broadening with temperature, current, and frequency

D. G. Polyakov, B. I. Shklovskii

Physics and Astronomy (Twin Cities)

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Abstract

We argue that it is hopping transport that is responsible for broadening of the σ_xx peaks in low-mobility samples. 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 Δv grows with T as ( T T₁)^K, where k is the inverse localization-length exponent. The current J is shown to act like an effective temperature T_eff(J) α J^{1 2} if T_eff(J) ≫ T. Broadening of the oh peaks with frequency ω is found to be determined by the effective temperature T_eff(ω) ≈ ℏω k_B.

Original language	English (US)
Pages (from-to)	151-155
Number of pages	5
Journal	Surface Science
Volume	305
Issue number	1-3
DOIs	https://doi.org/10.1016/0039-6028(94)90876-1
State	Published - Mar 20 1994

Bibliographical note

Funding Information:
We are grateful to L.W. Engel, SW. Hwang, C. Kurdak, D. Shahar, D.C. Tsui and H.P. Wei for providing us with the experimental data [22,26]T. his work was supportedb y the National Science Foundation under Grant No. DMR-9020587.

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title = "Conductivity peaks in the quantum Hall regime: Broadening with temperature, current, and frequency",

abstract = "We argue that it is hopping transport that is responsible for broadening of the σxx peaks in low-mobility samples. 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 Δv grows with T as ( T T1)K, where k is the inverse localization-length exponent. The current J is shown to act like an effective temperature Teff(J) α J 1 2 if Teff(J) ≫ T. Broadening of the oh peaks with frequency ω is found to be determined by the effective temperature Teff(ω) ≈ ℏω kB.",

author = "Polyakov, {D. G.} and Shklovskii, {B. I.}",

note = "Funding Information: We are grateful to L.W. Engel, SW. Hwang, C. Kurdak, D. Shahar, D.C. Tsui and H.P. Wei for providing us with the experimental data [22,26]T. his work was supportedb y the National Science Foundation under Grant No. DMR-9020587.",

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language = "English (US)",

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T1 - Conductivity peaks in the quantum Hall regime

T2 - Broadening with temperature, current, and frequency

AU - Polyakov, D. G.

AU - Shklovskii, B. I.

N1 - Funding Information: We are grateful to L.W. Engel, SW. Hwang, C. Kurdak, D. Shahar, D.C. Tsui and H.P. Wei for providing us with the experimental data [22,26]T. his work was supportedb y the National Science Foundation under Grant No. DMR-9020587.

PY - 1994/3/20

Y1 - 1994/3/20

N2 - We argue that it is hopping transport that is responsible for broadening of the σxx peaks in low-mobility samples. 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 Δv grows with T as ( T T1)K, where k is the inverse localization-length exponent. The current J is shown to act like an effective temperature Teff(J) α J 1 2 if Teff(J) ≫ T. Broadening of the oh peaks with frequency ω is found to be determined by the effective temperature Teff(ω) ≈ ℏω kB.

AB - We argue that it is hopping transport that is responsible for broadening of the σxx peaks in low-mobility samples. 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 Δv grows with T as ( T T1)K, where k is the inverse localization-length exponent. The current J is shown to act like an effective temperature Teff(J) α J 1 2 if Teff(J) ≫ T. Broadening of the oh peaks with frequency ω is found to be determined by the effective temperature Teff(ω) ≈ ℏω kB.

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DO - 10.1016/0039-6028(94)90876-1

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VL - 305

SP - 151

EP - 155

JO - Surface Science

JF - Surface Science

IS - 1-3

ER -

Conductivity peaks in the quantum Hall regime: Broadening with temperature, current, and frequency

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