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Critical statistics in a power-law random banded matrix ensemble | | Imre Varga
; Daniel Braun
; | | Date: |
20 Sep 1999 | | Journal: | Phys. Rev. B61 RC 11859 (2000) | | Subject: | Disordered Systems and Neural Networks; Mesoscopic Systems and Quantum Hall Effect; Chaotic Dynamics | cond-mat.dis-nn chao-dyn cond-mat.mes-hall nlin.CD | | Affiliation: | Philipps Universitaet Marburg, Germany, Universitaet-Gesamthochschule Essen, Germany | | Abstract: | We investigate the statistical properties of the eigenvalues and eigenvectors in a random matrix ensemble with $H_{ij}sim |i-j|^{-mu}$. It is known that this model shows a localization-delocalization transition (LDT) as a function of the parameter $mu$. The model is critical at $mu=1$ and the eigenstates are multifractals. Based on numerical simulations we demonstrate that the spectral statistics at criticality differs from semi-Poisson statistics which is expected to be a general feature of systems exhibiting a LDT or `weak chaos’. | | Source: | arXiv, cond-mat/9909285 | | Services: | Forum | Review | PDF | Favorites | |
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