Disorder and Two-Particle Interaction in Low-Dimensional Quantum Systems

Physics – Condensed Matter – Disordered Systems and Neural Networks

Scientific paper

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8 pages, 4 eps figures, Proc. of the Int. Workshop on Dynamics of Complex Systems, MPI Dresden, 1999, to appear in Physica E

Scientific paper

10.1016/S1386-9477(00)00236-8

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.

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