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Quasi-localized states in disordered metals and non-analyticity of the level curvature distribution function | | V. E. Kravtsov
; I. V. Yurkevich
; | | Date: |
3 Dec 1996 | | Journal: | Phys.Rev.Lett., 78 (1997) 3354. | | Subject: | cond-mat | | 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 $eta(2)$ is derived. | | Source: | arXiv, cond-mat/9612036 | | Services: | Forum | Review | PDF | Favorites | |
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