SCATTERING-THEORY, TRANSFER-MATRICES, AND ANDERSON LOCALIZATION
We discuss the scattering theory of quantum transport, in which properties of a disordered sample connected to ideal, multichannel leads are expressed in terms of its transfer matrix, T. Taking a continuum limit in which the sample is divided into many thin slices, the Lyapunov exponents, characteri...
| Hoofdauteurs: | , |
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| Formaat: | Journal article |
| Taal: | English |
| Gepubliceerd in: |
1993
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| _version_ | 1826304259139829760 |
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| author | Chalker, J Bernhardt, M |
| author_facet | Chalker, J Bernhardt, M |
| author_sort | Chalker, J |
| collection | OXFORD |
| description | We discuss the scattering theory of quantum transport, in which properties of a disordered sample connected to ideal, multichannel leads are expressed in terms of its transfer matrix, T. Taking a continuum limit in which the sample is divided into many thin slices, the Lyapunov exponents, characterizing the dependence of T on sample length, are calculated in terms of the probability distribution of the eigenvectors of TT°. It is shown that localization of these eigenvectors accompanies the disorder-induced metal-insulator transition, and an approximation scheme is developed to study the transition. © 1993 The American Physical Society. |
| first_indexed | 2024-03-07T06:15:05Z |
| format | Journal article |
| id | oxford-uuid:f0ceb3d5-71ea-4363-8a94-8752d3e364a9 |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-07T06:15:05Z |
| publishDate | 1993 |
| record_format | dspace |
| spelling | oxford-uuid:f0ceb3d5-71ea-4363-8a94-8752d3e364a92022-03-27T11:51:00ZSCATTERING-THEORY, TRANSFER-MATRICES, AND ANDERSON LOCALIZATIONJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:f0ceb3d5-71ea-4363-8a94-8752d3e364a9EnglishSymplectic Elements at Oxford1993Chalker, JBernhardt, MWe discuss the scattering theory of quantum transport, in which properties of a disordered sample connected to ideal, multichannel leads are expressed in terms of its transfer matrix, T. Taking a continuum limit in which the sample is divided into many thin slices, the Lyapunov exponents, characterizing the dependence of T on sample length, are calculated in terms of the probability distribution of the eigenvectors of TT°. It is shown that localization of these eigenvectors accompanies the disorder-induced metal-insulator transition, and an approximation scheme is developed to study the transition. © 1993 The American Physical Society. |
| spellingShingle | Chalker, J Bernhardt, M SCATTERING-THEORY, TRANSFER-MATRICES, AND ANDERSON LOCALIZATION |
| title | SCATTERING-THEORY, TRANSFER-MATRICES, AND ANDERSON LOCALIZATION |
| title_full | SCATTERING-THEORY, TRANSFER-MATRICES, AND ANDERSON LOCALIZATION |
| title_fullStr | SCATTERING-THEORY, TRANSFER-MATRICES, AND ANDERSON LOCALIZATION |
| title_full_unstemmed | SCATTERING-THEORY, TRANSFER-MATRICES, AND ANDERSON LOCALIZATION |
| title_short | SCATTERING-THEORY, TRANSFER-MATRICES, AND ANDERSON LOCALIZATION |
| title_sort | scattering theory transfer matrices and anderson localization |
| work_keys_str_mv | AT chalkerj scatteringtheorytransfermatricesandandersonlocalization AT bernhardtm scatteringtheorytransfermatricesandandersonlocalization |