Disorder and Two-Particle Interaction in Low-Dimensional Quantum Systems
arXiv:cond-mat/0009378 · doi:10.1016/S1386-9477(00)00236-8
Abstract
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.
8 pages, 4 eps figures, Proc. of the Int. Workshop on Dynamics of Complex Systems, MPI Dresden, 1999, to appear in Physica E
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- Absence of two-body delocalization transitions in the two-dimensional Anderson-Hubbard model
- Localization of electronic states in amorphous materials: recursive Green's function method and the metal-insulator transition at E<>0
- Coherent cellular dynamical mean-field theory: a real-space quantum embedding approach to disorder in strongly correlated electron systems
- Statistical properties of two-particle transmission at Anderson transition