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- W2078153602 abstract "It is shown that the quasilocalized states in weakly disordered systems can lead to the nonanalytical distribution of level curvatures. In 2D systems the distribution function $P(K)$ has a branching point at $Kphantom{rule{0ex}{0ex}}=phantom{rule{0ex}{0ex}}0$, while in quasi-1D systems the nonanalyticity is very weak and in 3D metals it is absent. It was shown earlier within the similar saddle-point method that for weak disorder the wave functions possess a (weak) multifractality only in 2D systems. This allows us to conjecture that the branching in $P(K)$ at $Kphantom{rule{0ex}{0ex}}=phantom{rule{0ex}{0ex}}0$ is a generic feature of all critical eigenstates with multifractal statistics. A relationship between the branching power and the fractal dimensionality ${D}_{2}$ is suggested." @default.
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- W2078153602 date "1997-04-28" @default.
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- W2078153602 title "Quasilocalized States in Disordered Metals and Nonanalyticity of the Level Curvature Distribution Function" @default.
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- W2078153602 doi "https://doi.org/10.1103/physrevlett.78.3354" @default.
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