Critical level spacing distribution in long-range hopping HamiltoniansE. Cuevas
Departamento de Física, Universidad de Murcia - E-30071 Murcia, Spain
(Received 22 January 2004; accepted in final form 3 May 2004)
The nearest level spacing distribution of d-dimensional disordered models ( d=1 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 b-d 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.
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