Crossover from conserving to lossy transport in circular random-matrix ensembles.
In a quantum dot with three leads, the transmission matrix t12 between two of these leads is a truncation of a unitary scattering matrix S, which we treat as random. As the number of channels in the third lead is increased, the constraints from the symmetry of S become less stringent and t12 becomes...
| Main Authors: | , |
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| Format: | Journal article |
| Language: | English |
| Published: |
2006
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| _version_ | 1797075736649007104 |
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| author | Simon, S Moustakas, A |
| author_facet | Simon, S Moustakas, A |
| author_sort | Simon, S |
| collection | OXFORD |
| description | In a quantum dot with three leads, the transmission matrix t12 between two of these leads is a truncation of a unitary scattering matrix S, which we treat as random. As the number of channels in the third lead is increased, the constraints from the symmetry of S become less stringent and t12 becomes closer to a matrix of complex Gaussian random numbers with no constraints. We consider the distribution of the singular values of t12, which is related to a number of physical quantities. |
| first_indexed | 2024-03-06T23:54:25Z |
| format | Journal article |
| id | oxford-uuid:73b33c13-02cc-40a8-9538-624dea105cf3 |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-06T23:54:25Z |
| publishDate | 2006 |
| record_format | dspace |
| spelling | oxford-uuid:73b33c13-02cc-40a8-9538-624dea105cf32022-03-26T19:58:09ZCrossover from conserving to lossy transport in circular random-matrix ensembles.Journal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:73b33c13-02cc-40a8-9538-624dea105cf3EnglishSymplectic Elements at Oxford2006Simon, SMoustakas, AIn a quantum dot with three leads, the transmission matrix t12 between two of these leads is a truncation of a unitary scattering matrix S, which we treat as random. As the number of channels in the third lead is increased, the constraints from the symmetry of S become less stringent and t12 becomes closer to a matrix of complex Gaussian random numbers with no constraints. We consider the distribution of the singular values of t12, which is related to a number of physical quantities. |
| spellingShingle | Simon, S Moustakas, A Crossover from conserving to lossy transport in circular random-matrix ensembles. |
| title | Crossover from conserving to lossy transport in circular random-matrix ensembles. |
| title_full | Crossover from conserving to lossy transport in circular random-matrix ensembles. |
| title_fullStr | Crossover from conserving to lossy transport in circular random-matrix ensembles. |
| title_full_unstemmed | Crossover from conserving to lossy transport in circular random-matrix ensembles. |
| title_short | Crossover from conserving to lossy transport in circular random-matrix ensembles. |
| title_sort | crossover from conserving to lossy transport in circular random matrix ensembles |
| work_keys_str_mv | AT simons crossoverfromconservingtolossytransportincircularrandommatrixensembles AT moustakasa crossoverfromconservingtolossytransportincircularrandommatrixensembles |