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Duality Between the Weak and Strong Interaction Limits for Randomly Interacting Fermions | | Philippe Jacquod
; Imre Varga
; | | Date: |
21 Sep 2001 | | Journal: | Phys.Rev.Lett. 89 (2002) 134101 | | Subject: | Disordered Systems and Neural Networks; Strongly Correlated Electrons; Chaotic Dynamics | cond-mat.dis-nn cond-mat.str-el hep-th nlin.CD nucl-th | | Affiliation: | Universiteit Leiden, The Netherlands, Philipps-Universitaet Marburg, Germany | | Abstract: | We establish the existence of a duality transformation for generic models of interacting fermions with two-body interactions. The eigenstates at weak and strong interaction U possess similar statistical properties when expressed in the U=0 and U=infinity eigenstates bases respectively. This implies the existence of a duality point U_d where the eigenstates have the same spreading in both bases. U_d is surrounded by an interval of finite width which is characterized by a non Lorentzian spreading of the strength function in both bases. Scaling arguments predict the survival of this intermediate regime as the number of particles is increased. | | Source: | arXiv, cond-mat/0109390 | | Other source: | [GID 308411] pmid12225029 | | Services: | Forum | Review | PDF | Favorites | |
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