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- W2076455994 abstract "The random banded matrices (RBM) whose diagonal elements fluctuate much stronger than the off-diagonal ones were introduced recently by Shepelyansky as a convenient model for coherent propagation of two interacting particles in a random potential. We treat the problem analytically by using the mapping onto the same supersymmetric nonlinear $sigma-$model that appeared earlier in consideration of the standard RBM ensemble, but with renormalized parameters. A Lorentzian form of the local density of states and a two-scale spatial structure of the eigenfunctions revealed recently by Jacquod and Shepelyansky are confirmed by direct calculation of the distribution of eigenfunction components." @default.
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- W2076455994 date "1995-10-15" @default.
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- W2076455994 title "Statistical properties of random banded matrices with strongly fluctuating diagonal elements" @default.
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- W2076455994 doi "https://doi.org/10.1103/physrevb.52.r11580" @default.
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