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

Author

Rudolf A. Romer
Michael Schreiber
Thomas Vojta, Missouri University of Science and TechnologyFollow

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.

Recommended Citation

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

Department(s)

Physics

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)

1386-9477

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2001 Elsevier, All rights reserved.

Publication Date

01 Mar 2001