| Issue |
Europhys. Lett.
Volume 67, Number 1, July 2004
|
|
|---|---|---|
| Page(s) | 84 - 89 | |
| Section | Condensed matter: electronic structure, electrical, magnetic, and optical properties | |
| DOI | https://doi.org/10.1209/epl/i2004-10048-2 | |
| Published online | 01 June 2004 | |
Critical level spacing distribution in long-range hopping Hamiltonians
Departamento de Física, Universidad de Murcia - E-30071 Murcia, Spain
Received:
22
January
2004
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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