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

Abstract:
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.
Publication status:
Published

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Publisher copy:
10.1103/PhysRevLett.77.554

Authors


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Institution:
University of Oxford
Department:
Oxford, MPLS, Physics, Theoretical Physics
Lerner, IV More by this author
Journal:
Phys. Rev. Lett.
Volume:
77
Issue:
3
Pages:
554
Publication date:
1996-06-10
DOI:
EISSN:
1079-7114
ISSN:
0031-9007
URN:
uuid:e99e07dd-fbb3-4d9e-a693-d348f1c1423b
Source identifiers:
23071
Local pid:
pubs:23071
Language:
English
Keywords:

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