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arXiv 2003-10-20 0 views

On the size scaling of the nearest level spacing at criticality

Malyshev, A. V.

Original · EN

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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