2001
DOI: 10.1007/s10051-001-8700-7
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Disorder and superconductivity: a new phase of bi-particle localized states

Abstract: We study the two-dimensional, disordered, attractive Hubbard model by the projector quantum Monte Carlo method and Bogoliubov -de Gennes mean-field theory. Our results for the ground state show the appearance of a new phase with charge localization in the metallic regime of the non-interacting model. Contrary to the common lore, we demonstrate that mean-field theory fails to predict this phase and is unable to describe the correct physical picture in this regime.PACS numbers: 74.20.-z, 74.25-q, 74.40+k The … Show more

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Cited by 3 publications
(9 citation statements)
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“…We study this model by the PQMC method, which is an efficient method for the investigation of the ground state properties of interacting fermion systems [15,20]. For attractive Hubbard interactions (U < 0), there is no sign problem and the method is exact up to discrete timestep and statistical errors, which can be well-controlled.…”
mentioning
confidence: 99%
“…We study this model by the PQMC method, which is an efficient method for the investigation of the ground state properties of interacting fermion systems [15,20]. For attractive Hubbard interactions (U < 0), there is no sign problem and the method is exact up to discrete timestep and statistical errors, which can be well-controlled.…”
mentioning
confidence: 99%
“…The results obtained in [6,7,9,10] give the following qualitative physical picture of the BLS phase, which is at the origin of superinsulator as it is argued below: i) For a moderate disorder, which e.g. by a factor two or less smaller than the critical value for the Anderson transition for 3D case, noninteracting electron states are still delocalized and metallic.…”
Section: Physical Picture Of Superinsulatormentioning
confidence: 65%
“…First signatures of this BLS phase has been obtained in the frame of the generalized Cooper problem [8] of two interacting particles above a frozen Fermi sea in presence of disorder. Further extensive quantum Monte Carlo studies of two and three-dimensional (2D, 3D) Hubbard model [9,10], with attraction, disorder and about hundred electrons, confirmed the attraction induced picture of localized Cooper pairs proposed in [6,7]. This picture is in a qualitative agreement with 2D disordered films experiments on superconductor-insulator transition (SIT) of Gantmakher et al [11], which clearly display a presence of localized pairs in the insulating phase appearing from the superconducting phase at relatively large magnetic field (see also [2] and Refs.…”
Section: Introductionmentioning
confidence: 99%
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