Random Walks through the Ensemble: Linking Spectral Statistics with Wavefunction Correlations in Disordered Metals

Details Random Walks through the Ensemble: Linking Spectral Statistics with Wavefunction Correlations in Disordered Metals Random Walks through the Ensemble: Linking Spectral Statistics with Wavefunction Correlations in Disordered Metals

1996-06-10

arxiv.org/abs/cond-mat/9606054v1

Phys. Rev. Lett. 77 (1996) 554

Physics

Condensed Matter

4 pages in REVTeX format including 1 postscript figure; to be published in Phys. Rev. Letters, 1996

Scientific paper

10.1103/PhysRevLett.77.554

We use a random walk in the ensemble of impurity configurations to generate a Brownian motion model for energy levels in disordered conductors. Treating arc-length along the random walk as fictitous time, the resulting Langevin equation relates spectral statistics to eigenfunction correlations. Solving this equation at energy scales large compared with the mean level spacing, we obtain the spectral form factor, and its parametric dependence.

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