Statistics of Conductance and Shot-Noise Power for Chaotic Cavities

• Authors: H. Sommers , W. Wieczorek , D. Savin
• Languages of publication: EN

Abstracts

EN

We report on an analytical study of the statistics of conductance, g, and shot-noise power, p, for a chaotic cavity with arbitrary numbers N_{1,2} of channels in two leads and symmetry parameterβ = 1, 2, 4. With the theory of Selberg's integral the first four cumulants of g and first two cumulants of p are calculated explicitly. We give analytical expressions for the conductance and shot-noise distributions and determine their exact asymptotics near the edges up to linear order in distances from the edges. For 0 < g < 1 a power law for the conductance distribution is exact. All results are also consistent with numerical simulations.

Keywords

EN

73.23.-b; 73.50.Td; 05.45.Mt; 73.63.Kv

Discipline

• 73.23.-b: Electronic transport in mesoscopic systems
• 73.63.Kv: Quantum dots
• 73.50.Td: Noise processes and phenomena
• 05.45.Mt: Quantum chaos; semiclassical methods

• Publisher: Institute of Physics, Polish Academy of Sciences
• Journal: Acta Physica Polonica A
• Year: 2007
• Volume: 112
• Issue: 4
• Pages: 691-697

Dates

published

2007-10

received

2007-05-25

Contributors

author

H. Sommers

• Fachbereich Physik, Universität Duisburg-Essen, 47048 Duisburg, Germany

author

W. Wieczorek

• Fachbereich Physik, Universität Duisburg-Essen, 47048 Duisburg, Germany

author

D. Savin

• Department of Mathematical Sciences, Brunel University, Uxbridge, UB8 3PH, UK

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Identifiers

DOI

10.12693/APhysPolA.112.691