Journal
PHYSICA E
Volume 9, Issue 3, Pages 397-404Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/S1386-9477(00)00236-8
Keywords
disordered systems; electron-electron interactions; TIP
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We review some of the recent results on two-interacting particles (TIP) in low-dimensional disordered quantum models. Special attention is given to the mapping of the problem onto random band matrices. In particular, we construct two simple, seemingly closely related examples for which an analogous mapping leads to incorrect results. We briefly discuss possible reasons for this discrepancy based on the physical differences between the TIP problem and our examples. (C) 2001 Elsevier Science B.V. All rights reserved.
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