Statistics of fluctuations of wave functions of chaotic electrons in a quantum dot in an arbitrary magnetic field

Vladimir I. Fal'ko; K. B. Efetov

doi:10.1103/PhysRevB.50.11267

Statistics of fluctuations of wave functions of chaotic electrons in a quantum dot in an arbitrary magnetic field

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Abstract

Using the supersymmetry technique we calculate the distribution of local amplitudes of electron wave functions in quantum dots in the regime of chaotic motion. The exact formula for an arbitrary magnetic field is obtained from first principles; this provides the possibility of describing the crossover between the orthogonal and unitary ensembles. The distribution function of chaotic electron waves can be the basis for a calculation of the resonance conductance distribution function.

Original language	English
Pages (from-to)	11267-11270
Number of pages	4
Journal	Physical Review B
Volume	50
Issue number	15
DOIs	https://doi.org/10.1103/PhysRevB.50.11267
Publication status	Published - 1994

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10.1103/PhysRevB.50.11267

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title = "Statistics of fluctuations of wave functions of chaotic electrons in a quantum dot in an arbitrary magnetic field",

abstract = "Using the supersymmetry technique we calculate the distribution of local amplitudes of electron wave functions in quantum dots in the regime of chaotic motion. The exact formula for an arbitrary magnetic field is obtained from first principles; this provides the possibility of describing the crossover between the orthogonal and unitary ensembles. The distribution function of chaotic electron waves can be the basis for a calculation of the resonance conductance distribution function.",

author = "Fal'ko, {Vladimir I.} and Efetov, {K. B.}",

year = "1994",

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AU - Efetov, K. B.

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N2 - Using the supersymmetry technique we calculate the distribution of local amplitudes of electron wave functions in quantum dots in the regime of chaotic motion. The exact formula for an arbitrary magnetic field is obtained from first principles; this provides the possibility of describing the crossover between the orthogonal and unitary ensembles. The distribution function of chaotic electron waves can be the basis for a calculation of the resonance conductance distribution function.

AB - Using the supersymmetry technique we calculate the distribution of local amplitudes of electron wave functions in quantum dots in the regime of chaotic motion. The exact formula for an arbitrary magnetic field is obtained from first principles; this provides the possibility of describing the crossover between the orthogonal and unitary ensembles. The distribution function of chaotic electron waves can be the basis for a calculation of the resonance conductance distribution function.

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U2 - 10.1103/PhysRevB.50.11267

DO - 10.1103/PhysRevB.50.11267

M3 - Article

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VL - 50

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EP - 11270

JO - Physical Review B

JF - Physical Review B

IS - 15

ER -

Statistics of fluctuations of wave functions of chaotic electrons in a quantum dot in an arbitrary magnetic field

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