On the size scaling of the nearest level spacing at criticality

A. V. Malyshev

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On the size scaling of the nearest level spacing at criticality

A. V. Malyshev

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Abstract

It is conjectured that the size scaling of the nearest level spacing in the critical spectral region, $S(N)\propto N^{-λ}$, 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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A. V. Malyshev. 2003-10-21. On the size scaling of the nearest level spacing at criticality. https://arxiv.org/abs/cond-mat/0310464

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