Localization from conductance in few-channel disordered wires

Physical Review B - Condensed Matter and Materials Physics

Volumn 66, Issue 15, 2002, Pages 1554341-15543414

  Heinrichs, J ^a  

^a UNIVERSITY OF LIÈGE   (Belgium)

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE; CALCULATION; CONDUCTANCE; MATHEMATICAL ANALYSIS; MATHEMATICAL MODEL; PHYSICS;

EID: 0037109843     PISSN: 01631829     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (26)

1. Y. Imry and R. Landauer, Rev. Mod. Phys. 71, S306 (1999).
2. S. Datta, Electronic Transport in Mesoscopic Systems (Cambridge University Press, 1995).
3. B. J. van Wees, H. Van Houten, C. W. J. Beenakker, J. G. Williamson, L. P. Kouwenhoven, D. Van der Marel, and C. T. Foxon, Phys. Rev. Lett. 60, 848 (1988); D. A. Wharam, T. J. Thornton, R. Newbury, M. Pepper, H. Ahmed, J. E. F. Frost, D. G. Hasko, D. C. Peacock, D. A. Ritchie, and G. A. C. Jones, J. Phys. C 21, 209 (1988); also see H. Van Houten and C. W. J. Beenakker, Phys. Today 49(7), 22 (1996).
4. B. J. van Wees, H. Van Houten, C. W. J. Beenakker, J. G. Williamson, L. P. Kouwenhoven, D. Van der Marel, and C. T. Foxon, Phys. Rev. Lett. 60, 848 (1988); D. A. Wharam, T. J. Thornton, R. Newbury, M. Pepper, H. Ahmed, J. E. F. Frost, D. G. Hasko, D. C. Peacock, D. A. Ritchie, and G. A. C. Jones, J. Phys. C 21, 209 (1988); also see H. Van Houten and C. W. J. Beenakker, Phys. Today 49(7), 22 (1996).
5. B. J. van Wees, H. Van Houten, C. W. J. Beenakker, J. G. Williamson, L. P. Kouwenhoven, D. Van der Marel, and C. T. Foxon, Phys. Rev. Lett. 60, 848 (1988); D. A. Wharam, T. J. Thornton, R. Newbury, M. Pepper, H. Ahmed, J. E. F. Frost, D. G. Hasko, D. C. Peacock, D. A. Ritchie, and G. A. C. Jones, J. Phys. C 21, 209 (1988); also see H. Van Houten and C. W. J. Beenakker, Phys. Today 49(7), 22 (1996).
6. For recent reviews, see A. D. Stone, P. A. Mello, K. A. Muttalib, and J. L. Pichard, in Mesoscopic Phenomena in Solids, edited by B. L. Altshuler, P. A. Lee, and R. A. Webb (North Holland, Amsterdam, 1991); C. W. J. Beenakker, Rev. Mod. Phys. 69, 731 (1997).
7. For recent reviews, see A. D. Stone, P. A. Mello, K. A. Muttalib, and J. L. Pichard, in Mesoscopic Phenomena in Solids, edited by B. L. Altshuler, P. A. Lee, and R. A. Webb (North Holland, Amsterdam, 1991); C. W. J. Beenakker, Rev. Mod. Phys. 69, 731 (1997).
8. D. J. Thouless, Phys. Rev. Lett. 39, 1167 (1977).
9. Y. Imry, Introduction to Mesoscopic Physics (Oxford University Press, London 1997).
10. Y. Imry, Europhys. Lett. 1, 249 (1986).
11. O. N. Dorokhov, Zh, Eksp. Teor. Fiz. 85, 1040 (1983) [Sov. Phys. JETP 58, 606 (1983)].
12. P. W. Anderson, D. J. Thouless, E. Abrahams, and D. S. Fisher, Phys. Rev. B 22, 3519 (1980).
13. D. J. Thouless, J. Phys. C 6, 249 (1973).
14. See, e.g., M. Janssen, Phys. Rep. 295, 1 (1998).
15. O. N. Dorokhov, Solid State Commun. 44, 915 (1982).
16. D. J. Thouless, in Ill Condensed Matter, edited by R. Balian, R. Maynard, and G. Toulouse (North-Holland, Amsterdam, 1979).
17. See, e.g., D. Mailly, C. Chapelier, and A. Benoit, Phys. Rev. Lett. 70, 2020 (1993).
18. R. Johnston and H. Kunz, J. Phys. C 16, 3895 (1983).
19. V. I. Oseledec, Trans. Moscow Math. Soc. 19, 197 (1968).
20. V. N. Tutubalin, Theor. Prob. Appl. 13, 65 (1968); A. D. Vister, ibid. 15, 667 (1970).
21. V. N. Tutubalin, Theor. Prob. Appl. 13, 65 (1968); A. D. Vister, ibid. 15, 667 (1970).
22. Also see the reviews on localization in A. Crisanti, G. Paladin and A. Vulpiani, Products of Random Matrices (Springer, Berlin, 1993); M. Janssen, O. Viehweger, V. Fastenrath, and J. Hajdu, Introduction to the Theory of the Integer Quantum Hall Effect (VCH, New York, 1994).
23. Also see the reviews on localization in A. Crisanti, G. Paladin and A. Vulpiani, Products of Random Matrices (Springer, Berlin, 1993); M. Janssen, O. Viehweger, V. Fastenrath, and J. Hajdu, Introduction to the Theory of the Integer Quantum Hall Effect (VCH, New York, 1994).
24. J. B. Pendry, Adv. Phys. 43, 461 (1994).
25. P. Erdös and R. C. Herndon, Adv. Phys. 31, 65 (1982).
26. P. W. Anderson and P. A. Lee, Suppl. Prog. Theor. Phys. 69, 212 (1980).