Localization as an alternative to Goldstone's theorem

A. J. McKane; M. Stone

doi:10.1016/0003-4916(81)90182-2

Localization as an alternative to Goldstone's theorem

A. J. McKane, M. Stone

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

Abstract

We study the field theory approach to Anderson localization paying special attention to the way in which localized states avoid Goldstone's theorem. We provide a formal derivation of Wegner's non-linear σ model for the localization transition and discuss those properties which are unusual, but necessary, if it is to give a correct description of physics near the mobility edge.

Original language	English (US)
Pages (from-to)	36-55
Number of pages	20
Journal	Annals of Physics
Volume	131
Issue number	1
DOIs	https://doi.org/10.1016/0003-4916(81)90182-2
State	Published - Jan 1981
Externally published	Yes

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General Physics and Astronomy

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10.1016/0003-4916(81)90182-2

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title = "Localization as an alternative to Goldstone's theorem",

abstract = "We study the field theory approach to Anderson localization paying special attention to the way in which localized states avoid Goldstone's theorem. We provide a formal derivation of Wegner's non-linear σ model for the localization transition and discuss those properties which are unusual, but necessary, if it is to give a correct description of physics near the mobility edge.",

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AB - We study the field theory approach to Anderson localization paying special attention to the way in which localized states avoid Goldstone's theorem. We provide a formal derivation of Wegner's non-linear σ model for the localization transition and discuss those properties which are unusual, but necessary, if it is to give a correct description of physics near the mobility edge.

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Localization as an alternative to Goldstone's theorem

Abstract

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