Analytical Results for Random Band Matrices with Preferential Basis

Preprint

15 July 1995

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.cond-mat/9507057

Abstract

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 superposition of a random band matrix with a strongly fluctuating 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 findings by Jacquod and Shepelyansky.

Keywords

MATRICES WITH PREFERENTIAL
RANDOM BAND MATRICES
ANALYTICAL RESULTS
PREFERENTIAL BASIS
DENSITY OF STATES
PARTICIPATION
EIGENVECTOR

All Related Versions

Version 1, 1995-07-15, ArXiv
Published version: Europhysics Letters, 32 (5), 385.

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