On the size scaling of the nearest level spacing at criticality

2003/10/20 by A. V. Malyshev, Malyshev, A. V.
Physics and Astronomy · #Disordered Systems and Neural Networks (cond-mat.dis-nn) #FOS: Physical sciences #Mesoscale and Nanoscale Physics (cond-mat.mes-hall) #cond-mat.dis-nn #cond-mat.mes-hall

paper · pdf · doi:10.48550/arxiv.cond-mat/0310464

3 pages, 2 figure

arxiv created 2003/10/21 · arxiv updated 2009/12/01

Abstract

It is conjectured that the size scaling of the nearest level spacing in the critical spectral region, S(N)∝ N^-λ, remains qualitatively the same within phases of extended and critical states. The exponent λ is therefore identical to that for the bare level spacing (at zero disorder). Our calculation of the scaling for the one-dimensional model with diagonal disorder and long-range power-like interaction confirms the conjecture.

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