Fractal conductance fluctuations in generic chaotic cavities

Physical Review B - Condensed Matter and Materials Physics

Volumn 54, Issue 15, 1996, Pages 10841-10844

  Ketzmerick, Roland ^a  

^a GOETHE UNIVERSITY   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0001318852     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.54.10841     Document Type: Article

References (35)

1. See, e.g., Mesoscopic Phenomena in Solids, edited by B. L. Altshuler, P. A. Lee, and R. A. Webb (North-Holland, New York, 1991).
2. D. Weiss, M. L. Roukes, A. Menschig, P. Grambow, K. v. Klitzing and G. Weimann, Phys. Rev. Lett. 66, 2790 (1991).
3. R. Schuster, K. Ensslin, J. P. Kotthaus, M. Holland and S. P. Beaumont, Superlattices Microstruct. 12, 93 (1992).
4. R. Fleischmann, T. Geisel and R. Ketzmerick, Phys. Rev. Lett. 68, 1367 (1992).
5. R. Fleischmann, T. Geisel and R. Ketzmerick, Europhys. Lett. 25, 219 (1994).
6. T. Geisel, R. Ketzmerick and O. Schedletzky, Phys. Rev. Lett. 69, 1680 (1992).
7. D. Weiss, K. Richter, A. Menschig, R. Bergmann, H. Schweizer, K. von Klitzing and G. Weimann, Phys. Rev. Lett. 70, 4118 (1993).
8. R. Schuster, K. Ensslin, D. Wharam, S. Kühn, J. P. Kotthaus, G. Böhm, W. Klein, G. Tränkle and G. Weimann, Phys. Rev. B 49, 8510 (1994).
9. A. S. Sachrajda, Y. Feng, R. P. Taylor, G. Kirczenow, L. Henning, J. Wang, P. Zawadzki and P. T. Coleridge, Phys. Rev. B 50, 10t856 (1994).
10. G. Hackenbroich and F. v. Oppen, Europhys. Lett. 29, 151 (1995).
11. K. Richter, Europhys. Lett. 29, 7 (1995).
12. C. M. Marcus, R. M. Westervelt, P. F. Hopkins and A. C. Gossard, Chaos 3, 643 (1993).
13. H. U. Baranger, R. A. Jalabert and A. D. Stone, Chaos 3, 665 (1993).
14. R. Blümel and U. Smilansky, Phys. Rev. Lett. 60, 477 (1988).
15. E. Doron, U. Smilansky and A. Frenkel, Physica D 50, 367 (1991).
16. R. A. Jalabert, H. U. Baranger and A. D. Stone, Phys. Rev. Lett. 65, 2442 (1990).
17. C. M. Marcus, A. J. Rimberg, R. M. Westervelt, P. F. Hopkins and A. C. Gossard, Phys. Rev. Lett. 69, 506 (1992).
18. Y.-C. Lai, R. Blümel, E. Ott and C. Grebogi, Phys. Rev. Lett. 68, 3491 (1992).
19. C. F. F. Karney, Physica 8, D, 360 (1983).
20. B. V. Chirikov and D. L. Shepelyanski, Physica 13, D, 395 (1984).
21. P. Grassberger and H. Kantz, Phys. Lett. A 113, 167 (1985).
22. J. D. Meiss and E. Ott, Physica 20, D, 387 (1986).
23. T. Geisel, A. Zacherl and G. Radons, Phys. Rev. Lett. 59, 2503 (1987).
24. T. Geisel, A. Zacherl and G. Radons, Z. Phys. B 71, 117 (1988).
25. W. Bauer and G. F. Bertsch, Phys. Rev. Lett. 65, 2213 (1990).
26. H. Alt, A.-D. Gräf, H. L. Harney, R. Hofferbert, H. Rehfeld, A. Richter and P. Schardt, Phys. Rev. E 53, 2217 (1996).
27. P. Seba, Phys. Rev. E 47, 3870 (1992).
28. J. Stein and H.-J. Stöckmann, Phys. Rev. Lett. 68, 2867 (1992).
29. H.-D. Gräf, H. L. Harney, H. Lengeler, C. H. Lewenkopf, C. Rangacharyulu, A. Richter, P. Schardt and H. A. Weidenmüller, Phys. Rev. Lett. 69, 1296 (1992).
30. B. B. Mandelbrot, The Fractal Geometry of Nature (Freeman, San Francisco, 1982).
31. M. Sepúlveda, S. Tomsovic and E. J. Heller, Phys. Rev. Lett. 69, 402 (1992), and Ref. 7 in Ref. 16.
32. H. U. Baranger, D. P. DiVincenzo, R. A. Jalabert and A. D. Stone, Phys. Rev. B 44, 10t637 (1991).
33. When varying a parameter the power-law exponent Β might fluctuate for very large times, as described in Y.-C. Lai, M. Ding, C. Grebogi and R. Blümel, Phys. Rev. A 46, 4661 (1992). For the finite range of times t<(Formula presented) relevant for a physical sample, however, the power-law exponent Β is found to be much more stable for the examples studied in this paper.
34. R. Ketzmerick, G. Petschel and T. Geisel, Phys. Rev. Lett. 69, 695 (1992).
35. B. Huckestein and L. Schweitzer, Phys. Rev. Lett. 72, 713 (1994).