Crossover from conserving to lossy transport in circular random-matrix ensembles.

Journal article

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.

Authors: Simon, S; Moustakas, A

• Publication status: Published
• Journal: Physical Review Letters
• Volume: 96
• Issue: 13
• Pages: 136805
• Publication date: 2006-04-01
• DOI: 10.1103/physrevlett.96.136805
• EISSN: 1079-7114
• ISSN: 0031-9007
• Language: English