Localization: The effect of a weak magnetic field

A. Houghton; A. J. McKane; Hilda A. Cerdeira

doi:10.1007/BF01010401

Localization: The effect of a weak magnetic field

A. Houghton, A. J. McKane, Hilda A. Cerdeira

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Abstract

The effect of a weak magnetic field on the diffusion of noninteracting electrons in a disordered system is studied in a nonlinear σ-model context. The effective Lagrangian describing the soft modes of the system in the weak field limit is derived. The result does not have the simple form that has been suggested by several authors. Therefore the crossover of the system under a weak perturbing magnetic field is not analogous to that found in spin systems. © 1987 Plenum Publishing Corporation.

Original language	English
Pages (from-to)	81-96
Number of pages	15
Journal	Journal of Statistical Physics
Volume	48
Issue number	1-2
DOIs	https://doi.org/10.1007/BF01010401
Publication status	Published - Jul 1987

Keywords

crossover
effective Lagrangian
field theory
Localization
magnetic field

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10.1007/BF01010401

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title = "Localization: The effect of a weak magnetic field",

abstract = "The effect of a weak magnetic field on the diffusion of noninteracting electrons in a disordered system is studied in a nonlinear σ-model context. The effective Lagrangian describing the soft modes of the system in the weak field limit is derived. The result does not have the simple form that has been suggested by several authors. Therefore the crossover of the system under a weak perturbing magnetic field is not analogous to that found in spin systems. {\textcopyright} 1987 Plenum Publishing Corporation.",

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author = "A. Houghton and McKane, {A. J.} and Cerdeira, {Hilda A.}",

year = "1987",

month = jul,

doi = "10.1007/BF01010401",

language = "English",

volume = "48",

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journal = "Journal of Statistical Physics",

issn = "1572-9613",

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TY - JOUR

T1 - Localization: The effect of a weak magnetic field

AU - Houghton, A.

AU - McKane, A. J.

AU - Cerdeira, Hilda A.

PY - 1987/7

Y1 - 1987/7

N2 - The effect of a weak magnetic field on the diffusion of noninteracting electrons in a disordered system is studied in a nonlinear σ-model context. The effective Lagrangian describing the soft modes of the system in the weak field limit is derived. The result does not have the simple form that has been suggested by several authors. Therefore the crossover of the system under a weak perturbing magnetic field is not analogous to that found in spin systems. © 1987 Plenum Publishing Corporation.

AB - The effect of a weak magnetic field on the diffusion of noninteracting electrons in a disordered system is studied in a nonlinear σ-model context. The effective Lagrangian describing the soft modes of the system in the weak field limit is derived. The result does not have the simple form that has been suggested by several authors. Therefore the crossover of the system under a weak perturbing magnetic field is not analogous to that found in spin systems. © 1987 Plenum Publishing Corporation.

KW - crossover

KW - effective Lagrangian

KW - field theory

KW - Localization

KW - magnetic field

U2 - 10.1007/BF01010401

DO - 10.1007/BF01010401

M3 - Article

SN - 1572-9613

VL - 48

SP - 81

EP - 96

JO - Journal of Statistical Physics

JF - Journal of Statistical Physics

IS - 1-2

ER -

Localization: The effect of a weak magnetic field

Abstract

Keywords

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