2003/10/31 by E. Cuevas, E Cuevas · 1 citation
Physics and Astronomy · #Quantum and electron transport phenomena #Quantum many-body systems #Theoretical and Computational Physics #cond-mat.dis-nn #cond-mat.mes-hall
paper · pdf · doi:10.1209/epl/i2004-10048-2
published as Europhys. Lett. 67, 84 (2004) · EPL style, 7 pages, 4 .eps figures, to be published in Europhys. Lett
arxiv created 2004/06/29 · openalex publication_date 2004/07/01 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/30
The nearest level spacing distribution P c ( s ) 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 ( b d >> 1) and the strong ( b d << 1) coupling regime, where the parameter b − d plays the role of the coupling constant of the model. It is found that P c ( s ) has the asymptotic form P c ( s ) ∼ exp [ − A d s α ] for s >> 1, with the critical exponent α = 2 − a d / b d in the weak-coupling limit and α = 1 + c d b d in the case of strong coupling.