Exploring Level Statistics from Quantum Chaos to Localization with the Autocorrelation Function of Spectral Determinants

Preprint

30 June 1998

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.cond-mat/9806368

Abstract

The autocorrelation function of spectral determinants (ASD) is used to characterize the discrete spectrum of a phase coherent quasi- 1- dimensional, disordered wire as a function of its length L in a finite, weak magnetic field. An analytical function is obtained depending only on the dimensionless conductance g= xi/L where xi is the localization length, the scaled frequency x= omega/Delta, where Delta is the average level spacing of the wire, and the global symmetry of the system. A metal- insulator crossover is observed, showing that information on localization is contained in the disorder averaged ASD.

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Version 1, 1998-06-30, ArXiv
Published version: Physical Review B, 59 (7), 4799.

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