Interplay of Anderson Localization and Strong Interactions in Disordered Systems
Interplay of Anderson Localization and Strong Interactions in Disordered Systems
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dc.contributor.advisor | Kroha, Johann | |
dc.contributor.author | Henseler, Peter | |
dc.date.accessioned | 2020-04-15T12:12:04Z | |
dc.date.available | 2020-04-15T12:12:04Z | |
dc.date.issued | 02.03.2010 | |
dc.identifier.uri | https://hdl.handle.net/20.500.11811/4529 | |
dc.description.abstract | We study the interplay of disorder localization and strong local interactions within the Anderson-Hubbard model. Taking into account local Mott-Hubbard physics and static screening of the disorder potential, the system is mapped onto an effective single-particle Anderson model, which is studied within the self-consistent theory of electron localization. For fermions, we find rich nonmonotonic behavior of the localization length ξ, particularly in two-dimensional systems, including an interaction-induced exponential enhancement of ξ for small and intermediate disorders and a strong reduction of ξ due to hopping suppression by strong interactions. In three dimensions, we identify for half filling a Mott-Hubbard-assisted Anderson localized phase existing between the metallic and the Mott-Hubbardgapped phases. For small U there is re-entrant behavior from the Anderson localized phase to the metallic phase. For bosons, the unrestricted particle occupation number per lattice site yields a monotonic enhancement of ξ as a function of decreasing interaction, which we assume to persist until the superfluid Bose- Einstein condensate phase is entered. Besides, we study cold atomic gases expanding, by a diffusion process, in a weak random potential. We show that the density-density correlation function of the expanding gas is strongly affected by disorder and we estimate the typical size of a speckle spot, i.e., a region of enhanced or depleted density. Both a Fermi gas and a Bose-Einstein condensate (in a mean-field approach) are considered. | |
dc.language.iso | eng | |
dc.rights | In Copyright | |
dc.rights.uri | http://rightsstatements.org/vocab/InC/1.0/ | |
dc.subject | Anderson-Lokalisierung | |
dc.subject | Hubbard-Modell | |
dc.subject | Metall-Isolator-Übergang | |
dc.subject | Kalte Gase | |
dc.subject | Bose-Einstein-Kondensat | |
dc.subject | Anderson localization | |
dc.subject | Hubbard model | |
dc.subject | metal-insulator transition | |
dc.subject | cold gas | |
dc.subject | Bose-Einstein condensate | |
dc.subject.ddc | 530 Physik | |
dc.title | Interplay of Anderson Localization and Strong Interactions in Disordered Systems | |
dc.type | Dissertation oder Habilitation | |
dc.publisher.name | Universitäts- und Landesbibliothek Bonn | |
dc.publisher.location | Bonn | |
dc.rights.accessRights | openAccess | |
dc.identifier.urn | https://nbn-resolving.org/urn:nbn:de:hbz:5N-20400 | |
ulbbn.pubtype | Erstveröffentlichung | |
ulbbnediss.affiliation.name | Rheinische Friedrich-Wilhelms-Universität Bonn | |
ulbbnediss.affiliation.location | Bonn | |
ulbbnediss.thesis.level | Dissertation | |
ulbbnediss.dissID | 2040 | |
ulbbnediss.date.accepted | 03.02.2010 | |
ulbbnediss.fakultaet | Mathematisch-Naturwissenschaftliche Fakultät | |
dc.contributor.coReferee | Flume, Rainald |
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