Activated conductivity in the quantum Hall effect

M. M. Fogler; D. G. Polyakov; B. I. Shklovskii

doi:10.1016/0039-6028(96)00397-4

Activated conductivity in the quantum Hall effect

M. M. Fogler, D. G. Polyakov, B. I. Shklovskii

Physics and Astronomy (Twin Cities)

Research output: Contribution to journal › Article › peer-review

8 Scopus citations

Abstract

Activated dissipative conductivity σ_xx = σ*_xx exp(-Δ/T) and the activated deviation of the Hall conductivity from the precise quantization δσ_xy = σ_xy-ie²/h = σ*_xy exp(-Δ/T) are studied in a plateau range of the quantum Hall effect. The prefactors σ*_xx and σ*_xy are calculated for the case of a long-range random potential in the framework of a classical theory. There is a range of temperatures T₁«T«T₂ where σ*_xy = e²/h. In this range σ*_xy≈(e²/h)(T/T₂) ^80/21«σ*_xx. At large T»T₂, on the other hand, σ*_xy = e²/h and σ*_xx = (e²/h)(T₂/T)^10/13«σ* _xy. Similar results are valid for a fractional plateau near the filling factor p/q if charge e is replaced by e/q.

Original language	English (US)
Pages (from-to)	255-260
Number of pages	6
Journal	Surface Science
Volume	361-362
DOIs	https://doi.org/10.1016/0039-6028(96)00397-4
State	Published - Jul 20 1996

Bibliographical note

Funding Information:
Useful discussions with I.L. Aleiner, V.I. Perel and I.M. R1;7~n are greatly appreciated. This work was supported by NSF under Grant No. DMR-9321417.

Keywords

Conductivity
Hall effect

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@article{a453d3211fe9497fbbe66ffe3fe25cea,

title = "Activated conductivity in the quantum Hall effect",

abstract = "Activated dissipative conductivity σxx = σ*xx exp(-Δ/T) and the activated deviation of the Hall conductivity from the precise quantization δσxy = σxy-ie2/h = σ*xy exp(-Δ/T) are studied in a plateau range of the quantum Hall effect. The prefactors σ*xx and σ*xy are calculated for the case of a long-range random potential in the framework of a classical theory. There is a range of temperatures T1«T«T2 where σ*xy = e2/h. In this range σ*xy≈(e2/h)(T/T2) 80/21«σ*xx. At large T»T2, on the other hand, σ*xy = e2/h and σ*xx = (e2/h)(T2/T)10/13«σ* xy. Similar results are valid for a fractional plateau near the filling factor p/q if charge e is replaced by e/q.",

keywords = "Conductivity, Hall effect",

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

note = "Funding Information: Useful discussions with I.L. Aleiner, V.I. Perel and I.M. R1;7~n are greatly appreciated. This work was supported by NSF under Grant No. DMR-9321417.",

year = "1996",

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doi = "10.1016/0039-6028(96)00397-4",

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AU - Fogler, M. M.

AU - Polyakov, D. G.

AU - Shklovskii, B. I.

N1 - Funding Information: Useful discussions with I.L. Aleiner, V.I. Perel and I.M. R1;7~n are greatly appreciated. This work was supported by NSF under Grant No. DMR-9321417.

PY - 1996/7/20

Y1 - 1996/7/20

N2 - Activated dissipative conductivity σxx = σ*xx exp(-Δ/T) and the activated deviation of the Hall conductivity from the precise quantization δσxy = σxy-ie2/h = σ*xy exp(-Δ/T) are studied in a plateau range of the quantum Hall effect. The prefactors σ*xx and σ*xy are calculated for the case of a long-range random potential in the framework of a classical theory. There is a range of temperatures T1«T«T2 where σ*xy = e2/h. In this range σ*xy≈(e2/h)(T/T2) 80/21«σ*xx. At large T»T2, on the other hand, σ*xy = e2/h and σ*xx = (e2/h)(T2/T)10/13«σ* xy. Similar results are valid for a fractional plateau near the filling factor p/q if charge e is replaced by e/q.

AB - Activated dissipative conductivity σxx = σ*xx exp(-Δ/T) and the activated deviation of the Hall conductivity from the precise quantization δσxy = σxy-ie2/h = σ*xy exp(-Δ/T) are studied in a plateau range of the quantum Hall effect. The prefactors σ*xx and σ*xy are calculated for the case of a long-range random potential in the framework of a classical theory. There is a range of temperatures T1«T«T2 where σ*xy = e2/h. In this range σ*xy≈(e2/h)(T/T2) 80/21«σ*xx. At large T»T2, on the other hand, σ*xy = e2/h and σ*xx = (e2/h)(T2/T)10/13«σ* xy. Similar results are valid for a fractional plateau near the filling factor p/q if charge e is replaced by e/q.

KW - Conductivity

KW - Hall effect

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VL - 361-362

SP - 255

EP - 260

JO - Surface Science

JF - Surface Science

ER -

Activated conductivity in the quantum Hall effect

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Keywords

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