PL EN


Preferences help
enabled [disable] Abstract
Number of results
2007 | 112 | 4 | 691-697
Article title

Statistics of Conductance and Shot-Noise Power for Chaotic Cavities

Content
Title variants
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
Publisher

Year
Volume
112
Issue
4
Pages
691-697
Physical description
Dates
published
2007-10
received
2007-05-25
Contributors
author
  • Fachbereich Physik, Universität Duisburg-Essen, 47048 Duisburg, Germany
author
  • Fachbereich Physik, Universität Duisburg-Essen, 47048 Duisburg, Germany
author
  • Department of Mathematical Sciences, Brunel University, Uxbridge, UB8 3PH, UK
References
  • 1. C.W.J. Beenakker, Rev. Mod. Phys., 69, 731, 1997
  • 2. Ya.M. Blanter, M. Buttiker, Phys. Rep., 336, 1, 2000
  • 3. H.U. Baranger, P.A. Mello, Phys. Rev. Lett., 73, 142, 1994
  • 4. R.A. Jalabert, J.-L. Pichard, C.W.J. Beenakker, Europhys. Lett., 27, 255, 1994
  • 5. D.V. Savin, H.-J. Sommers, Phys. Rev. B, 73, 081307, 2006
  • 6. M.L. Mehta, Random Matrices, 2nd ed., Academic Press, New York 1991
  • 7. A. García-Martín, J.J. Sáenz, Phys. Rev. Lett., 87, 116603, 2001
  • 8. M.H. Pedersen, S.A. van Langen, M. Buttiker, Phys. Rev. B, 57, 1838, 1998
  • 9. M. Novaes, Phys. Rev. B, 75, 073304, 2007
  • 10. D.V. Savin, H.-J. Sommers, W. Wieczorek, in preparation
  • 11. W. Wieczorek, D.V. Savin, H.-J. Sommers, in preparation
  • 12. K.A. Muttalib, P. Wolfle, A. García-Martín, V.A. Gopar, Europhys. Lett., 61, 95, 2003
  • 13. S. Hemmady, J. Hart, X. Zheng, T.M. Antonsen, E. Ott, S.M. Anlage, Phys. Rev. B, 74, 195326, 2006
  • 14. P.W. Brouwer, C.W.J. Beenakker, Phys. Rev. B, 55, 4695, 1997
  • 15. Y.V. Fyodorov, D.V. Savin, H.-J. Sommers, J. Phys. A, 38, 10731, 2005
Document Type
Publication order reference
Identifiers
YADDA identifier
bwmeta1.element.bwnjournal-article-appv112n411kz
JavaScript is turned off in your web browser. Turn it on to take full advantage of this site, then refresh the page.