Distribution functions of current density and local density of states in disordered quantum conductors

I. V. Lerner

doi:10.1016/0375-9601(88)91027-4

Distribution functions of current density and local density of states in disordered quantum conductors

I. V. Lerner^*

^*Corresponding author for this work

Physics and Astronomy

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

Abstract

The distribution function of nonuniversal current density fluctuations in the ensemble of disordered conductors is calculated using the results of renormalization group analysis of the extended nonlinear σ model. It is shown that there exists a crossover from the close-to-gaussian distribution with the logarithmically normal (LN) asymptotics in the region of weak localization to the completely LN distribution in the region where quantum corrections to conductivity become essential. A similar crossover is found in the distribution function of fluctuations of the local density of states.

Original language	English
Pages (from-to)	253-259
Number of pages	7
Journal	Physics Letters A
Volume	133
Issue number	4-5
DOIs	https://doi.org/10.1016/0375-9601(88)91027-4
Publication status	Published - 14 Nov 1988

ASJC Scopus subject areas

General Physics and Astronomy

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10.1016/0375-9601(88)91027-4

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abstract = "The distribution function of nonuniversal current density fluctuations in the ensemble of disordered conductors is calculated using the results of renormalization group analysis of the extended nonlinear σ model. It is shown that there exists a crossover from the close-to-gaussian distribution with the logarithmically normal (LN) asymptotics in the region of weak localization to the completely LN distribution in the region where quantum corrections to conductivity become essential. A similar crossover is found in the distribution function of fluctuations of the local density of states.",

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N2 - The distribution function of nonuniversal current density fluctuations in the ensemble of disordered conductors is calculated using the results of renormalization group analysis of the extended nonlinear σ model. It is shown that there exists a crossover from the close-to-gaussian distribution with the logarithmically normal (LN) asymptotics in the region of weak localization to the completely LN distribution in the region where quantum corrections to conductivity become essential. A similar crossover is found in the distribution function of fluctuations of the local density of states.

AB - The distribution function of nonuniversal current density fluctuations in the ensemble of disordered conductors is calculated using the results of renormalization group analysis of the extended nonlinear σ model. It is shown that there exists a crossover from the close-to-gaussian distribution with the logarithmically normal (LN) asymptotics in the region of weak localization to the completely LN distribution in the region where quantum corrections to conductivity become essential. A similar crossover is found in the distribution function of fluctuations of the local density of states.

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Distribution functions of current density and local density of states in disordered quantum conductors

Abstract

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