Novel Scaling Relation of the Energy Spacing Distribution in Quantum-Hall Systems

Дата и время публикации : 1997-10-03T13:36:28Z

Авторы публикации и институты :
Imre Varga (Department of Theoretical Physics, Institute of Physics, Technical University of Budapest, Hungary, Condensed Matter Research Group of the Hungarian Academy of Sciences, Hungary)
Yoshiyuki Ono (Department of Physics, Toho University, Japan)
Tomi Ohtsuki (Department of Physics, Sophia University, Japan)
Janos Pipek (Department of Theoretical Physics, Institute of Physics, Technical University of Budapest, Hungary)

Ссылка на журнал-издание: Ссылка на журнал-издание не найдена
Коментарии к cтатье: 6 pages, LaTeX, 2 figures
Первичная категория: cond-mat.mes-hall

Все категории : cond-mat.mes-hall

Краткий обзор статьи: 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 R’enyi-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.

Category: Physics