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

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. Solv...

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Bibliographic Details
Main Authors: Chalker, J, Lerner, I, Smith, R
Format: Journal article
Language:English
Published: 1996