Anderson localization and momentum-space entanglement
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Data
2014-07-01
Autores
Andrade, Eric C. [UNESP]
Steudtner, Mark
Vojta, Matthias
Título da Revista
ISSN da Revista
Título de Volume
Editor
Iop Publishing Ltd
Resumo
We consider Anderson localization and the associated metal-insulator transition for non-interacting fermions in D = 1, 2 space dimensions in the presence of spatially correlated on-site random potentials. To assess the nature of the wave function, we follow a recent proposal to study momentum-space entanglement. For a D = 1 model with long-range disorder correlations, both the entanglement spectrum and the entanglement entropy allow us to clearly distinguish between extended and localized states based upon a single realization of disorder. However, for other models, including the D = 2 case with long-range correlated disorder, we find that the method is not similarly successful. We analyze the reasons for its failure, concluding that the much desired generalization to higher dimensions may be problematic.
Descrição
Palavras-chave
disordered systems (theory), entanglement in extended quantum systems (theory)
Como citar
Journal Of Statistical Mechanics-theory And Experiment. Bristol: Iop Publishing Ltd, 14 p., 2014.