Coalescence of extended states in large quantum dots

V. Kagalovsky; B. Horovitz; Y. Avishai

doi:10.1016/S0921-4526(98)00555-9

Coalescence of extended states in large quantum dots

V. Kagalovsky, B. Horovitz, Y. Avishai

Department of Physics

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

Abstract

We study quantum Hall systems in which two states become degenerate at some strong magnetic field B₀. It is shown that random mixing between these states produces two extended states with energy separation vanishing as \B - B₀|^φ(φ > 1), which we denote as level coalescence. In a relatively wide range near B₀ the localization exponent is v ≈ 1.1 (though strictly v ≈ 1.1 only at B₀) while outside this regime the usual quantum Hall value is found v ≈ 2.5. We propose that this phenomenon accounts for the observed bunching phenomenon in the addition spectrum of large quantum dots (QD).

Original language	English
Pages (from-to)	161-164
Number of pages	4
Journal	Physica B: Condensed Matter
Volume	256-258
DOIs	https://doi.org/10.1016/S0921-4526(98)00555-9
State	Published - 2 Dec 1998

Keywords

Extended state
Mixing
Network model

ASJC Scopus subject areas

Electronic, Optical and Magnetic Materials
Condensed Matter Physics
Electrical and Electronic Engineering

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10.1016/S0921-4526(98)00555-9

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abstract = "We study quantum Hall systems in which two states become degenerate at some strong magnetic field B0. It is shown that random mixing between these states produces two extended states with energy separation vanishing as \B - B0|φ(φ > 1), which we denote as level coalescence. In a relatively wide range near B0 the localization exponent is v ≈ 1.1 (though strictly v ≈ 1.1 only at B0) while outside this regime the usual quantum Hall value is found v ≈ 2.5. We propose that this phenomenon accounts for the observed bunching phenomenon in the addition spectrum of large quantum dots (QD).",

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author = "V. Kagalovsky and B. Horovitz and Y. Avishai",

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T1 - Coalescence of extended states in large quantum dots

AU - Kagalovsky, V.

AU - Horovitz, B.

AU - Avishai, Y.

PY - 1998/12/2

Y1 - 1998/12/2

N2 - We study quantum Hall systems in which two states become degenerate at some strong magnetic field B0. It is shown that random mixing between these states produces two extended states with energy separation vanishing as \B - B0|φ(φ > 1), which we denote as level coalescence. In a relatively wide range near B0 the localization exponent is v ≈ 1.1 (though strictly v ≈ 1.1 only at B0) while outside this regime the usual quantum Hall value is found v ≈ 2.5. We propose that this phenomenon accounts for the observed bunching phenomenon in the addition spectrum of large quantum dots (QD).

AB - We study quantum Hall systems in which two states become degenerate at some strong magnetic field B0. It is shown that random mixing between these states produces two extended states with energy separation vanishing as \B - B0|φ(φ > 1), which we denote as level coalescence. In a relatively wide range near B0 the localization exponent is v ≈ 1.1 (though strictly v ≈ 1.1 only at B0) while outside this regime the usual quantum Hall value is found v ≈ 2.5. We propose that this phenomenon accounts for the observed bunching phenomenon in the addition spectrum of large quantum dots (QD).

KW - Extended state

KW - Mixing

KW - Network model

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VL - 256-258

SP - 161

EP - 164

JO - Physica B: Condensed Matter

JF - Physica B: Condensed Matter

ER -

Coalescence of extended states in large quantum dots

Abstract

Keywords

ASJC Scopus subject areas

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