| | |
| | |
Stat |
Members: 3645 Articles: 2'500'096 Articles rated: 2609
19 April 2024 |
|
| | | |
|
Article overview
| |
|
Spectral statistics in disordered metals: a trajectories approach | Robert A. Smith
; Igor V. Lerner
; Boris L. Altshuler
; | Date: |
22 Dec 1997 | Journal: | Phys. Rev. B 58 (1998) 10343 | Subject: | Mesoscopic Systems and Quantum Hall Effect | cond-mat.mes-hall | Affiliation: | Birmingham), Igor V. Lerner (Birmingham), Boris L. Altshuler (Princeton | Abstract: | We show that the perturbative expansion of the two-level correlation function, $R(omega)$, in disordered conductors can be understood semiclassically in terms of self-intersecting particle trajectories. This requires the extension of the standard diagonal approximation to include pairs of paths which are non-identical but have almost identical action. The number of diagrams thus produced is much smaller than in a standard field-theoretical approach. We show that such a simplification occurs because $R(omega)$ has a natural representation as the second derivative of free energy $F(omega)$. We calculate $R(omega)$ to 3-loop order, and verify a one-parameter scaling hypothesis for it in 2d. We discuss the possibility of applying our ``weak diagonal approximation’’ to generic chaotic systems. | Source: | arXiv, cond-mat/9801229 | 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:
| |