Analytical Results for Random Band Matrices with
نویسنده
چکیده
Using the supersymmetry method we analytically calculate the local density of states, the localiztion length, the generalized inverse participation ratios , and the distribution function of eigenvector components for the superpo-sition of a random band matrix with a strongly uctuating diagonal matrix. In this way we extend previously known results for ordinary band matrices to the class of random band matrices with preferential basis. Our analytical results are in good agreement with (but more general than) recent numerical ndings by Jacquod and Shepelyansky.
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