|
| | | | |
| | | |
| Stat |
Members: 3645
Articles: 2'500'096
Articles rated: 2609
19 April 2024 |
|
| | | | |
|
Article overview
| |
|
|
Novel Scaling Relation of the Energy Spacing Distribution in Quantum-Hall Systems | | Imre Varga
; Yoshiyuki Ono
; Tomi Ohtsuki
; Janos Pipek
; | | Date: |
3 Oct 1997 | | Subject: | Mesoscopic Systems and Quantum Hall Effect | cond-mat.mes-hall | | Affiliation: | 1 and 2), Yoshiyuki Ono , Tomi Ohtsuki , and Janos Pipek ( Department of Theoretical Physics, Institute of Physics, Technical University of Budapest, Hungary, Condensed Matter Research Group of the Hungarian Academy of Sciences, Hungary, Department | | Abstract: | The shape analysis of the energy spacing distribution $P(s)$ obtained from numerical simulation of two dimensional disordered electron systems subject to strong magnetic fields is performed. In the present work we reanalyze the data obtained in a previous publication. Special moments of the $P(s)$ function related to Rényi-entropy differences show a novel scale invariant relation that is attributed to the presence of one-parameter scaling. This relation seems to show both deviations and universality depending on which Landau-band is considered and whether the disorder is correlated or uncorrelated. Furthermore, our analysis shows the existence of an huge, however, irrelevant length scale in the case of the second lowest Landau-band and no disorder correlations that completely disappears with the introduction of disorder correlations on the range of one magnetic length. | | Source: | arXiv, cond-mat/9710036 | | 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