Disorder and Two-Particle Interaction in Low-Dimensional Quantum Systems
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.
R. A. Romer et al., "Disorder and Two-Particle Interaction in Low-Dimensional Quantum Systems," Physica E: Low-dimensional Systems and Nanostructures, vol. 9, no. 3, pp. 397-404, Elsevier, Mar 2001.
The definitive version is available at https://doi.org/10.1016/S1386-9477(00)00236-8
Keywords and Phrases
Electron transitions; Molecular dynamics; Molecular structure; Random processes; Low-dimensional quantum systems; Random band matrices; Quantum theory
International Standard Serial Number (ISSN)
Article - Journal
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