Nonlinear statistics of quantum transport in chaotic cavities

Physical Review B - Condensed Matter and Materials Physics

Volumn 77, Issue 12, 2008, Pages

  Savin, D V ^a   Sommers, H J ^b   Wieczorek, W ^b  

^a BRUNEL UNIVERSITY   (United Kingdom)

^b UNIVERSITY OF DUISBURG ESSEN   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 41549088343     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.77.125332     Document Type: Article

References (31)

1. C. W. J. Beenakker, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys. 69.731 69, 731 (1997).
2. Ya. M. Blanter and M. Büttiker, Phys. Rep. PRPLCM 0370-1573 10.1016/S0370-1573(99)00123-4 336, 1 (2000).
3. M. L. Mehta, Random Matrices, 2nd ed. (Academic, New York, 1991).
4. H. U. Baranger and P. A. Mello, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.73.142 73, 142 (1994).
5. R. A. Jalabert, J.-L. Pichard, and C. W. J. Beenakker, Europhys. Lett. EULEEJ 0295-5075 10.1209/0295-5075/27/4/001 27, 255 (1994).
6. D. V. Savin and H.-J. Sommers, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.73.081307 73, 081307 (R) (2006).
7. J. E. F. Araújo and A. M. S. Macêdo, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.58.R13379 58, R13379 (1998).
8. E. N. Bulgakov, V. A. Gopar, P. A. Mello, and I. Rotter, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.73.155302 73, 155302 (2006).
9. P. Braun, S. Heusler, S. Müller, and F. Haake, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/39/11/L01 39, L159 (2006).
10. H.-J. Sommers, W. Wieczorek, and D. V. Savin, Proceedings of the Third Workshop on Quantum Chaos and Localization Phenomena, Warsaw, Poland, 25-27 May 2007
11. H.-J. Sommers, W. Wieczorek, and D. V. Savin, [Acta Phys. Pol. A ATPLB6 0587-4246 112, 691 (2007)].
12. M. Novaes, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.75.073304 75, 073304 (2007).
13. P. W. Brouwer and C. W. J. Beenakker, J. Math. Phys. JMAPAQ 0022-2488 10.1063/1.531667 37, 4904 (1996).
14. ∫01 d T1 ∫01 d Tn πj < k Tj - Tk 2c π i = 1 n Ti a-1 (1- Ti) b-1 = π j = 0 n - 1 Γ (1+c+jc) Γ (a+jc) Γ (b+jc) Γ (1+c) Γ [a+b+ (n+j-1) c], where Γ (x) is the gamma function, gives the definition of Selberg's integral which is valid at integer n≥1, complex a and b with positive real parts, and complex c with Re c>-min [1 n,Re a (n-1), Re b (n-1)]. Chapter of Ref. contains an elementary introduction into the Selberg integral theory and a derivation of some useful relations. For a current status of this field, see a recent review by arXiv:0710.3981 (unpublished).
15. L. S. Levitov and G. B. Lesovik, JETP Lett. JTPLA2 0021-3640 58, 230 (1993).
16. H. Lee, L. S. Levitov, and A. Yu. Yakovets, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.51.4079 51, 4079 (1995).
17. S. Müller, S. Heusler, P. Braun, and F. Haake, New J. Phys. NJOPFM 1367-2630 10.1088/1367-2630/9/1/012 9, 12 (2007).
18. Yu. V. Nazarov, in Quantum Dynamics of Submicron Structures, edited by, H. A. Cerdeira,,, B. Kramer,, and, G. Schön,, Advanced Studies Institute, NATO Series E: Applied Science, (Kluwer, Dordrecht, 1995), Vol. 291, p. 687.
19. Ya. M. Blanter, H. Schomerus, and C. W. J. Beenakker, Physica E (Amsterdam) PELNFM 1386-9477 10.1016/S1386-9477(01)00160-6 11, 1 (2001).
20. O. M. Bulashenko, J. Stat. Mech.: Theory Exp. ZZZZZZ 1742-5468 (2005) P08013.
21. B. L. Altshuler, V. E. Kravtsov, and I. V. Lerner, Zh. Eksp. Teor. Fiz. ZETFA7 0044-4510 91, 2276 (1986).
22. W. Wieczorek, D. V. Savin, and H.-J. Sommers (unpublished).
23. A. M. S. Macêdo, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.49. 1858 49, 1858 (1994).
24. M. C. W. van Rossum, I. V. Lerner, B. L. Altshuler, and Th. M. Nieuwenhuizen, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.55.4710 55, 4710 (1997).
25. S. Gustavsson, R. Leturcq, T. Ihn, K. Ensslin, M. Reinwald, and W. Wegscheider, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.75.075314 75, 075314 (2007).
26. P. W. Brouwer and C. W. J. Beenakker, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.55.4695 55, 4695 (1997).
27. A. G. Huibers, S. R. Patel, C. M. Marcus, P. W. Brouwer, C. I. Duruöz, and J. S. Harris, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.81.1917 81, 1917 (1998).
28. S. Hemmady, J. Hart, X. Zheng, T. M. Antonsen, E. Ott, and S. M. Anlage, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.74.195326 74, 195326 (2006).
29. Y. V. Fyodorov, D. V. Savin, and H.-J. Sommers, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/38/49/017 38, 10731 (2005).
30. J. R. Williams, L. DiCarlo, and C. M. Marcus, Science SCIEAS 0036-8075 10.1126/science.1144657 317, 638 (2007).
31. D. A. Abanin and L. S. Levitov, Science SCIEAS 0036-8075 10.1126/science.1144672 317, 641 (2007).