Volume 67, Number 1, July 2004
|Page(s)||84 - 89|
|Section||Condensed matter: electronic structure, electrical, magnetic, and optical properties|
|Published online||01 June 2004|
Critical level spacing distribution in long-range hopping Hamiltonians
Departamento de Física, Universidad de Murcia - E-30071 Murcia, Spain
Accepted: 3 May 2004
The nearest level spacing distribution of d-dimensional disordered models ( and 2) with long-range random hopping amplitudes is investigated numerically at criticality. We focus on both the weak () and the strong () coupling regime, where the parameter plays the role of the coupling constant of the model. It is found that has the asymptotic form for , with the critical exponent in the weak-coupling limit and in the case of strong coupling.
PACS: 71.30.+h – Metal-insulator transitions and other electronic transitions / 72.15.Rn – Localization effects (Anderson or weak localization) / 71.55.Jv – Disordered structures; amorphous and glassy solids
© EDP Sciences, 2004
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