|
| | | | |
| | | |
| Stat |
Members: 3645
Articles: 2'504'928
Articles rated: 2609
26 April 2024 |
|
| | | | |
|
Article overview
| |
|
|
Perturbation Theory for the Rosenzweig-Porter Matrix Model | | Alexander Altland
; Martin Janssen
; Boris Shapiro
; | | Date: |
22 May 1997 | | Journal: | Phys. Rev. E 56, 1471 (1997) | | Subject: | Mesoscopic Systems and Quantum Hall Effect; Statistical Mechanics; Chaotic Dynamics | cond-mat.mes-hall chao-dyn cond-mat.stat-mech nlin.CD | | Affiliation: | Cavendish Laboratory at Cambridge), Martin Janssen (University of Cologne), Boris Shapiro (Technion at Haifa | | Abstract: | We study an ensemble of random matrices (the Rosenzweig-Porter model) which, in contrast to the standard Gaussian ensemble, is not invariant under changes of basis. We show that a rather complete understanding of its level correlations can be obtained within the standard framework of diagrammatic perturbation theory. The structure of the perturbation expansion allows for an interpretation of the level structure on simple physical grounds, an aspect that is missing in the exact analysis (T. Guhr, Phys. Rev. Lett. 76, 2258 (1996), T. Guhr and A. Müller-Groeling, cond-mat/9702113). | | Source: | arXiv, cond-mat/9705227 | | Services: | Forum | Review | PDF | Favorites | |
|
|
No review found.
Did you like this article?
Note: answers to reviews or questions about the article must be posted in the forum section.
Authors are not allowed to review their own article. They can use the forum section.
browser Mozilla/5.0 AppleWebKit/537.36 (KHTML, like Gecko; compatible; ClaudeBot/1.0; +claudebot@anthropic.com)
|
| |
|
|
|
|
News, job offers and information for researchers and scientists:
| |
REGISTER