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

Abstract:
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.
Publication status:
Published

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Institution:
University of Oxford
Department:
Oxford, MPLS, Physics, Theoretical Physics
Moustakas, AL More by this author
Journal:
Physical review letters
Volume:
96
Issue:
13
Pages:
136805
Publication date:
2006-04-05
DOI:
EISSN:
1079-7114
ISSN:
0031-9007
URN:
uuid:73b33c13-02cc-40a8-9538-624dea105cf3
Source identifiers:
168152
Local pid:
pubs:168152
Language:
English

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