Quantum transport through ballistic cavities: soft vs hard quantum chaos

Physical Review Letters

Volumn 84, Issue 24, 2000, Pages 5504-5507

  Huckestein, Bodo ^a,d   Ketzmerick, Roland ^b   Lewenkopf, Caio H ^c  

^a UNIVERSITY OF COLOGNE   (Germany)

^b UNIVERSITY OF GÖTTINGEN   (Germany)

^c STATE UNIVERSITY OF RIO DE JANEIRO   (Brazil)

^d RUHR UNIVERSITY BOCHUM   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

CHAOS THEORY; EIGENVALUES AND EIGENFUNCTIONS; ELECTRON SCATTERING; ELECTRON TRANSPORT PROPERTIES; ELECTRON TRAPS; GREEN'S FUNCTION; PROBABILITY;

HARD QUANTUM CHAOS; LANDAUER CONDUCTANCE; SOFT QUANTUM CHAOS; WIGNER TIME DELAY;

QUANTUM THEORY;

EID: 0033723837     PISSN: 00319007     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevLett.84.5504     Document Type: Article

References (24)

1. L. P. Kouwenhoven et al., in Mesoscopic Electronic Transport, edited by L. P. Kouwenhoven. G. Schön, and L. L. Sohn (Kluwer, Dordrecht, 1997).
2. C. M. Marcus, R. M. Westervelt, P. F. Hopkins, and A. C. Gossard, Chaos 3, 643 (1993); A. Chang, H. U. Baranger, L. N. Pfeifer, and K. W. West, Phys. Rev. Lett. 73, 2111 (1994).
3. C. M. Marcus, R. M. Westervelt, P. F. Hopkins, and A. C. Gossard, Chaos 3, 643 (1993); A. Chang, H. U. Baranger, L. N. Pfeifer, and K. W. West, Phys. Rev. Lett. 73, 2111 (1994).
4. H. U. Baranger, R. A. Jalabert, and A. D. Stone, Chaos 3, 665 (1993).
5. L. Markus and K. R. Meyer, Generic Hamiltonian Dynamical Systems Are neither Integrable nor Chaotic, Memoirs of the American Mathematical Society, No. 114 (American Mathematical Society, Providence, RI, 1974).
6. A. J. Lichtenberg and M. A. Liebermann, Regular and Chaotic Dynamics (Springer-Verlag, New York, 1992).
7. B. V. Chirikov and D. L. Shepelyansky, Phys. Rev. Lett. 82, 528 (1999), and references therein.
8. R. Ketzmerick, Phys. Rev. B 54, 10841 (1996).
9. β, as derived (with an error of 1 in the exponent) by Y.-C. Lai, R. Blümel, E. Ott, and C. Grebogi, Phys. Rev. Lett. 68, 3491 (1992).
10. In fact, it deviates somewhat earlier, as analyzed by G. Casati, G. Maspero, and D. L. Shepelyansky, Phys. Rev. Lett. 82, 524 (1999).
11. H. Hegger et al., Phys. Rev. Lett. 77, 3855 (1996).
12. A. S. Sachrajda et al., Phys. Rev. Lett. 80, 1948 (1998).
13. G. Casati, I. Guarneri, and G. Maspero, Phys. Rev. Lett. 84, 63 (2000).
14. G. A. Luna-Acosta et al., Phys. Rev. B 54, 11 410 (1996); A. Bäcker, R. Schubert, and P. Stifter, J. Phys. A 30, 6783 (1997), and references therein.
15. G. A. Luna-Acosta et al., Phys. Rev. B 54, 11 410 (1996); A. Bäcker, R. Schubert, and P. Stifter, J. Phys. A 30, 6783 (1997), and references therein.
16. RA. Maaø, I. Zozulenko, and E. Hauge, Phys. Rev. B 50, 17320 (1994).
17. Such isolated sharp resonances were also found in kicked systems with a mixed phase space coupled to perfect leads by I. Guarneri et al. (private communication).
18. P. Šeba, Phys. Rev. E 47, 3870 (1993).
19. R. Ketzmerick, L. Hufnagel, F. Steinbach, and M. Weiss (to be published).
20. B. Eckhardt, Chaos 3, 613 (1993).
21. T. Guhr, A. Müller-Groeling, and H. A. Weidenmüller, Phys. Rep. 299, 189 (1998).
22. N. Lehmann et al., Physica (Amsterdam) 86D, 572 (1995).
23. C. H. Lewenkopf and H. A. Weidenmüller, Ann. Phys. (N.Y.) 212, 53 (1991).
24. T. Kottos and U. Smilansky, Phys. Rev. Lett. 79, 4794 (1997).