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Cited by 1,129

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Localization Problem in One Dimension: Mapping and Escape

Kohmoto, Mahito, Kadanoff, Leo P., Tang, Chao·1983·Physical Review Letters

Abstract

A one-dimensional Schr\"odinger equation in a discontinuous quasiperiodic potential is reduced to a recursion relation for transfer matrices and then to one for traces of these matrices. When the potential is periodic, the bandwidth goes to zero as an algebraic function of the period with a critical index which depends upon the potential strength. This critical index is also evaluated as the solution to an escape-rate problem for the recursion relations.

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Metadata

Authors
Kohmoto, M., Kadanoff, L. P., & Tang, C.
Venue
Physical Review Letters
Published
1983-06-06
Volume
50
Issue
23
Pages
1870-1872
ISSN
0031-9007 (ISSN-L)
OpenAlex
W2012240771
Cited by
1,129
References
1
FWCI
24.01
Type
journal article
Language
en
Open access
closed

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CoChat. (2026). Citation check: Localization Problem in One Dimension: Mapping and Escape. https://app.cochat.ai/papers/10.1103/physrevlett.50.1870
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Kohmoto, M., Kadanoff, L. P., & Tang, C. (1983). Localization Problem in One Dimension: Mapping and Escape. Physical Review Letters. https://doi.org/10.1103/physrevlett.50.1870

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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).

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