RANDOM-WALKS THROUGH THE ENSEMBLE - LINKING SPECTRAL STATISTICS WITH WAVE-FUNCTION CORRELATIONS IN DISORDERED METALS

Authors
CHALKER JT LERNER IV SMITH RA
Citation
Jt. Chalker et al., RANDOM-WALKS THROUGH THE ENSEMBLE - LINKING SPECTRAL STATISTICS WITH WAVE-FUNCTION CORRELATIONS IN DISORDERED METALS, Physical review letters, 77(3), 1996, pp. 554-557
Citations number
27
Categorie Soggetti
Physics
Journal title
Physical review letters → ACNP
ISSN journal
00319007
Volume
77
Issue
3
Year of publication
1996
Pages
554 - 557
Database
ISI
SICI code
0031-9007(1996)77:3<554:RTTE-L>2.0.ZU;2-1
Abstract
We use a random walk in the ensemble of impurity configurations to gen erate a Brownian motion model for energy levels in disordered conducto rs. Treating arclength along the random walk as fictitous time, the re sulting Langevin equation relates spectral statistics to eigenfunction correlations. Solving this equation al energy scales large compared w ith the mean level spacing, we obtain the spectral form factor and its parametric dependence.