Predicted mobility edges in one-dimensional incommensurate optical lattices: an exactly solvable model of anderson localization

Localization properties of noninteracting quantum particles in one-dimensional incommensurate lattices are investigated with an exponential short-range hopping that is beyond the minimal nearest-neighbor tight-binding model. Energy dependent mobility edges are analytically predicted in this model an...

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Veröffentlicht in:Physical review letters 2010-02, Vol.104 (7), p.070601-070601, Article 070601
Hauptverfasser: Biddle, J, Das Sarma, S
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Sprache:eng
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Zusammenfassung:Localization properties of noninteracting quantum particles in one-dimensional incommensurate lattices are investigated with an exponential short-range hopping that is beyond the minimal nearest-neighbor tight-binding model. Energy dependent mobility edges are analytically predicted in this model and verified with numerical calculations. The results are then mapped to the continuum Schrödinger equation, and an approximate analytical expression for the localization phase diagram and the energy dependent mobility edges in the ground band is obtained.
ISSN:0031-9007
1079-7114
DOI:10.1103/physrevlett.104.070601