1996/06/06 by I. Kh. Zharekeshev, I. Kh Zharekeshev, M. Batsch +3 · 2 citations
Physics and Astronomy · #Quantum and electron transport phenomena #Quantum many-body systems #Random lasers and scattering media #cond-mat
paper · pdf · doi:10.1209/epl/i1996-00499-9
published as Europhys. Lett. 34 (1996) 587 · 4 pages in revtex, 3 postscript figures
arxiv created 1996/06/06 · openalex publication_date 1996/06/10 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/30
We investigate numerically the statistical properties of spectra of two-dimensional disordered systems by using the exact diagonalization and decimation method applied to the Anderson model. Statistics of the spacings calculated for system size up to 1024 × 1024 lattice sites exhibits a crossover between Wigner and Poisson distributions. We perform a self-contained finite-size scaling analysis to find a single-valued one-parameter function γ( L /ξ) which governs the crossover. The scaling parameter ξ( W ) is deduced and compared with the localization length. γ( L /ξ) does not show critical behaviour and has two asymptotic regimes corresponding to weakly and strongly localized states.