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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| Format: | Journal article |
| Language: | English |
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1996
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| _version_ | 1826302820306911232 |
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| author | Chalker, J Lerner, I Smith, R |
| author_facet | Chalker, J Lerner, I Smith, R |
| author_sort | Chalker, J |
| collection | OXFORD |
| description | 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. |
| first_indexed | 2024-03-07T05:53:13Z |
| format | Journal article |
| id | oxford-uuid:e99e07dd-fbb3-4d9e-a693-d348f1c1423b |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-07T05:53:13Z |
| publishDate | 1996 |
| record_format | dspace |
| spelling | oxford-uuid:e99e07dd-fbb3-4d9e-a693-d348f1c1423b2022-03-27T10:55:37ZRandom Walks through the Ensemble: Linking Spectral Statistics with Wavefunction Correlations in Disordered MetalsJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:e99e07dd-fbb3-4d9e-a693-d348f1c1423bEnglishSymplectic Elements at Oxford1996Chalker, JLerner, ISmith, RWe 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. |
| spellingShingle | Chalker, J Lerner, I Smith, R Random Walks through the Ensemble: Linking Spectral Statistics with Wavefunction Correlations in Disordered Metals |
| title | Random Walks through the Ensemble: Linking Spectral Statistics with
Wavefunction Correlations in Disordered Metals |
| title_full | Random Walks through the Ensemble: Linking Spectral Statistics with
Wavefunction Correlations in Disordered Metals |
| title_fullStr | Random Walks through the Ensemble: Linking Spectral Statistics with
Wavefunction Correlations in Disordered Metals |
| title_full_unstemmed | Random Walks through the Ensemble: Linking Spectral Statistics with
Wavefunction Correlations in Disordered Metals |
| title_short | Random Walks through the Ensemble: Linking Spectral Statistics with
Wavefunction Correlations in Disordered Metals |
| title_sort | random walks through the ensemble linking spectral statistics with wavefunction correlations in disordered metals |
| work_keys_str_mv | AT chalkerj randomwalksthroughtheensemblelinkingspectralstatisticswithwavefunctioncorrelationsindisorderedmetals AT lerneri randomwalksthroughtheensemblelinkingspectralstatisticswithwavefunctioncorrelationsindisorderedmetals AT smithr randomwalksthroughtheensemblelinkingspectralstatisticswithwavefunctioncorrelationsindisorderedmetals |