On the size scaling of the nearest level spacing at criticality

Details On the size scaling of the nearest level spacing at criticality On the size scaling of the nearest level spacing at criticality

2003-10-20

arxiv.org/abs/cond-mat/0310464v2

Physics

Condensed Matter

Disordered Systems and Neural Networks

3 pages, 2 figure

Scientific paper

It is conjectured that the size scaling of the nearest level spacing in the critical spectral region, $S(N)\propto N^{-\lambda}$, remains qualitatively the same within phases of extended and critical states. The exponent $\lambda$ 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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