Quasi-localized states in disordered metals and non-analyticity of the level curvature distribution function

V. E. Kravtsov; I. V. Yurkevich

doi:10.1103/physrevlett.78.3354

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arXiv · cond-mat/9612036

Quasi-localized states in disordered metals and non-analyticity of the level curvature distribution function

V. E. Kravtsov·I. V. Yurkevich

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Abstract

It is shown that the quasi-localized states in weakly disordered systems can lead to the non-analytical distribution of level curvatures. In 2D systems the distribution function P(K) has a branching point at K=0. In quasi-1D systems the non-analyticity at K=0 is very weak, and in 3D metals it is absent at all. Such a behavior confirms the conjecture that the branching at K=0 is due to the multi-fractality of wave functions and thus is a generic feature of all critical eigenstates. The relationsip between the branching power and the multi-fractality exponent $η(2)$ is derived.

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V. E. Kravtsov, I. V. Yurkevich. 1996-12-03. Quasi-localized states in disordered metals and non-analyticity of the level curvature distribution function. https://doi.org/10.1103/physrevlett.78.3354

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