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

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

1996-12-03

arxiv.org/abs/cond-mat/9612036v1

Phys.Rev.Lett., 78 (1997) 3354.

Physics

Condensed Matter

4 pages, LATEX

Scientific paper

10.1103/PhysRevLett.78.3354

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 $\eta(2)$ is derived.

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