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Please use this identifier to cite or link to this item: http://acervodigital.unesp.br/handle/11449/116982
Title: 
Anderson localization and momentum-space entanglement
Author(s): 
Institution: 
  • Tech Univ Dresden
  • Universidade Estadual Paulista (UNESP)
ISSN: 
1742-5468
Sponsorship: 
  • DFG
  • Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)
Sponsorship Process Number: 
  • DFGFOR 960
  • DFGGRK 1621
Abstract: 
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.
Issue Date: 
1-Jul-2014
Citation: 
Journal Of Statistical Mechanics-theory And Experiment. Bristol: Iop Publishing Ltd, 14 p., 2014.
Time Duration: 
14
Publisher: 
Iop Publishing Ltd
Keywords: 
  • disordered systems (theory)
  • entanglement in extended quantum systems (theory)
Source: 
http://dx.doi.org/10.1088/1742-5468/2014/07/P07022
URI: 
Access Rights: 
Acesso restrito
Type: 
outro
Source:
http://repositorio.unesp.br/handle/11449/116982
Appears in Collections:Artigos, TCCs, Teses e Dissertações da Unesp

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