EXACT RESULTS FOR THE LEVEL DENSITY AND 2-POINT CORRELATION-FUNCTION OF THE TRANSMISSION-MATRIX EIGENVALUES IN QUASI-ONE-DIMENSIONAL CONDUCTORS
We study transport properties of phase-coherent quasi-one-dimensional disordered conductors in the diffusive regime, in terms of the eigenvalue distribution of the two-terminal transmission matrix. Using an expansion in inverse powers of the classical conductance, we calculate the average transmissi...
| Main Authors: | , |
|---|---|
| 格式: | Journal article |
| 语言: | English |
| 出版: |
1994
|
| _version_ | 1826295650067677184 |
|---|---|
| author | Macedo, A Chalker, J |
| author_facet | Macedo, A Chalker, J |
| author_sort | Macedo, A |
| collection | OXFORD |
| description | We study transport properties of phase-coherent quasi-one-dimensional disordered conductors in the diffusive regime, in terms of the eigenvalue distribution of the two-terminal transmission matrix. Using an expansion in inverse powers of the classical conductance, we calculate the average transmission eigenvalue density and the two-point correlation function for fluctuations in the density. A formula for the average value and the variance of a general linear statistic on the transmission eigenvalues is obtained. Our results confirm an earlier hypothesis, based on random-matrix theory, that fluctuations are universal in the diffusive regime and ultimately determined by level repulsion. © 1994 The American Physical Society. |
| first_indexed | 2024-03-07T04:04:18Z |
| format | Journal article |
| id | oxford-uuid:c59faef4-8aa4-4cc6-871f-9e9721b1ecdb |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-07T04:04:18Z |
| publishDate | 1994 |
| record_format | dspace |
| spelling | oxford-uuid:c59faef4-8aa4-4cc6-871f-9e9721b1ecdb2022-03-27T06:32:19ZEXACT RESULTS FOR THE LEVEL DENSITY AND 2-POINT CORRELATION-FUNCTION OF THE TRANSMISSION-MATRIX EIGENVALUES IN QUASI-ONE-DIMENSIONAL CONDUCTORSJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:c59faef4-8aa4-4cc6-871f-9e9721b1ecdbEnglishSymplectic Elements at Oxford1994Macedo, AChalker, JWe study transport properties of phase-coherent quasi-one-dimensional disordered conductors in the diffusive regime, in terms of the eigenvalue distribution of the two-terminal transmission matrix. Using an expansion in inverse powers of the classical conductance, we calculate the average transmission eigenvalue density and the two-point correlation function for fluctuations in the density. A formula for the average value and the variance of a general linear statistic on the transmission eigenvalues is obtained. Our results confirm an earlier hypothesis, based on random-matrix theory, that fluctuations are universal in the diffusive regime and ultimately determined by level repulsion. © 1994 The American Physical Society. |
| spellingShingle | Macedo, A Chalker, J EXACT RESULTS FOR THE LEVEL DENSITY AND 2-POINT CORRELATION-FUNCTION OF THE TRANSMISSION-MATRIX EIGENVALUES IN QUASI-ONE-DIMENSIONAL CONDUCTORS |
| title | EXACT RESULTS FOR THE LEVEL DENSITY AND 2-POINT CORRELATION-FUNCTION OF THE TRANSMISSION-MATRIX EIGENVALUES IN QUASI-ONE-DIMENSIONAL CONDUCTORS |
| title_full | EXACT RESULTS FOR THE LEVEL DENSITY AND 2-POINT CORRELATION-FUNCTION OF THE TRANSMISSION-MATRIX EIGENVALUES IN QUASI-ONE-DIMENSIONAL CONDUCTORS |
| title_fullStr | EXACT RESULTS FOR THE LEVEL DENSITY AND 2-POINT CORRELATION-FUNCTION OF THE TRANSMISSION-MATRIX EIGENVALUES IN QUASI-ONE-DIMENSIONAL CONDUCTORS |
| title_full_unstemmed | EXACT RESULTS FOR THE LEVEL DENSITY AND 2-POINT CORRELATION-FUNCTION OF THE TRANSMISSION-MATRIX EIGENVALUES IN QUASI-ONE-DIMENSIONAL CONDUCTORS |
| title_short | EXACT RESULTS FOR THE LEVEL DENSITY AND 2-POINT CORRELATION-FUNCTION OF THE TRANSMISSION-MATRIX EIGENVALUES IN QUASI-ONE-DIMENSIONAL CONDUCTORS |
| title_sort | exact results for the level density and 2 point correlation function of the transmission matrix eigenvalues in quasi one dimensional conductors |
| work_keys_str_mv | AT macedoa exactresultsfortheleveldensityand2pointcorrelationfunctionofthetransmissionmatrixeigenvaluesinquasionedimensionalconductors AT chalkerj exactresultsfortheleveldensityand2pointcorrelationfunctionofthetransmissionmatrixeigenvaluesinquasionedimensionalconductors |