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Multifractal statistics of eigenstates of 2D disordered conductors

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Multifractal statistics of eigenstates of 2D disordered conductors. / Falko, Vladimir; Efetov, K. B. .

In: Surface Science, Vol. 361-362, No. 1-3, 20.07.1996, p. 735-738.

Research output: Contribution to Journal/MagazineJournal articlepeer-review

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Falko V, Efetov KB. Multifractal statistics of eigenstates of 2D disordered conductors. Surface Science. 1996 Jul 20;361-362(1-3):735-738. doi: 10.1016/0039-6028(96)00522-5

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Falko, Vladimir ; Efetov, K. B. . / Multifractal statistics of eigenstates of 2D disordered conductors. In: Surface Science. 1996 ; Vol. 361-362, No. 1-3. pp. 735-738.

Bibtex

@article{92924213ae5e47bdbbee82029eb95a0e,
title = "Multifractal statistics of eigenstates of 2D disordered conductors",
abstract = "We have studied the manifestation of pre-localized states in the distribution of local amplitudes of wave functions of a 2D disordered metal. Although the distribution of comparatively small amplitudes obeys the universal laws known from the random matrix theory, its large-amplitude tails are non-universal and have a logarithmically-normal dependence. The inverse participation numbers calculated on the basis of the exact form of the distribution function in the weak localization regime indicate multifractal behavior. Our calculation is based on the derivation of the non-trivial saddle-point of the reduced supersymmetric sigma-model.",
author = "Vladimir Falko and Efetov, {K. B.}",
year = "1996",
month = jul,
day = "20",
doi = "10.1016/0039-6028(96)00522-5",
language = "English",
volume = "361-362",
pages = "735--738",
journal = "Surface Science",
issn = "0039-6028",
publisher = "Elsevier",
number = "1-3",

}

RIS

TY - JOUR

T1 - Multifractal statistics of eigenstates of 2D disordered conductors

AU - Falko, Vladimir

AU - Efetov, K. B.

PY - 1996/7/20

Y1 - 1996/7/20

N2 - We have studied the manifestation of pre-localized states in the distribution of local amplitudes of wave functions of a 2D disordered metal. Although the distribution of comparatively small amplitudes obeys the universal laws known from the random matrix theory, its large-amplitude tails are non-universal and have a logarithmically-normal dependence. The inverse participation numbers calculated on the basis of the exact form of the distribution function in the weak localization regime indicate multifractal behavior. Our calculation is based on the derivation of the non-trivial saddle-point of the reduced supersymmetric sigma-model.

AB - We have studied the manifestation of pre-localized states in the distribution of local amplitudes of wave functions of a 2D disordered metal. Although the distribution of comparatively small amplitudes obeys the universal laws known from the random matrix theory, its large-amplitude tails are non-universal and have a logarithmically-normal dependence. The inverse participation numbers calculated on the basis of the exact form of the distribution function in the weak localization regime indicate multifractal behavior. Our calculation is based on the derivation of the non-trivial saddle-point of the reduced supersymmetric sigma-model.

U2 - 10.1016/0039-6028(96)00522-5

DO - 10.1016/0039-6028(96)00522-5

M3 - Journal article

VL - 361-362

SP - 735

EP - 738

JO - Surface Science

JF - Surface Science

SN - 0039-6028

IS - 1-3

ER -