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2006 | 110 | 4 | 523-535
Article title

Phase Space Description of Localization in Disordered One-Dimensional Systems

Content
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EN
Abstracts
EN
The degree of electronic localization in disordered one-dimensional systems is discussed. The model is simplified to a set of Diracδ-like functions used for the potential in the Schrödinger equation and calculations are carried out for the ground state. The disorder of topological character is introduced by the random shifts of the potential peaks. For comparison, we also discuss two aperiodic systems of the potential peaks: Thue-Morse and Fibonacci sequences. The localization, both in the momentum and the real space, is analyzed for different disorder strengths and sizes of the system. We calculate the localization length, and additionally we express the localization effects in terms of the inverse participation function and also by means of the Husimi quasi-classical distribution function in the phase space of the electron (position, momentum) coordinate system. We present the influence of disorder generated by the random and aperiodic sequences of potential on the energy spectrum.
Keywords
EN
Publisher

Year
Volume
110
Issue
4
Pages
523-535
Physical description
Dates
published
2006-10
received
2005-10-17
(unknown)
2006-07-10
Contributors
author
  • Faculty of Physics and Applied Computer Science, University of Science and Technology (AGH), al. Mickiewicza 30, 30-059 Kraków, Poland
author
  • Faculty of Physics and Applied Computer Science, University of Science and Technology (AGH), al. Mickiewicza 30, 30-059 Kraków, Poland
  • Faculty of Physics and Applied Computer Science, University of Science and Technology (AGH), al. Mickiewicza 30, 30-059 Kraków, Poland
References
  • 1. B. Kramer, A. MacKinnon, Rep. Prog. Phys., 56, 1469, 1993
  • 2. P.A. Lee, T.V. Ramakrishnan, Rev. Mod. Phys., 57, 287, 1985
  • 3. P.M. Ossi, Disordered Materials. An Introduction, Springer-Verlag, Berlin 2003
  • 4. P.W. Anderson, Phys. Rev., 109, 1492, 1958
  • 5. G.D. Mahan, Many-Particle Physics, Kluwer Academic/Plenum Publishers, New York 2000
  • 6. S.F. Edwards, Philos. Mag., 8, 1020, 1958
  • 7. N.F. Mott, Metal-Insulator Transition, 2nd ed., Taylor & Francis, London 1990
  • 8. R.E. Borland, Proc. Phys. Soc., 77, 705, 1961
  • 9. R.E. Borland, Proc. Phys. Soc., 78, 926, 1961
  • 10. R.E.B. Makinson, A.D. Roberts, Proc. Phys. Soc., 79, 222, 1962
  • 11. M. Hilke, J.C. Flores, Phys. Rev. B, 55, 10625, 1997
  • 12. N.F. Mott, W.D. Twose, Adv. Phys., 10, 107, 1961
  • 13. G.-L. Ingold, A. Wobst, C. Aulbach, P. Hanggi, Eur. Phys. J. B, 30, 175, 2002
  • 14. P.G. Harper, Proc. Phys. Soc. Lond. A, 68, 874, 1955
  • 15. S. Aubry, G. André, Ann. Israel Phys. Soc., 3, 133, 1980
  • 16. P. Vagner, P. Markos, M. Mosko, T. Schapers, Phys. Rev. B, 67, 165316, 2003
  • 17. M. Mosko, P. Vagner, M. Bajdich, T. Schapers, Phys. Rev. Lett., 91, 136803, 2003
  • 18. R. de L. Kronig, W.G. Penney, Proc. R. Soc. A, 130, 499, 1930
  • 19. J.M. Ziman, Models of Disorder, Cambridge University Press, Cambridge 1979
  • 20. F. Axel, J.P. Allouche, M. Kleman, M.M. France, J. Peyriére, J. Phys. Colloq., 47, C3-181, 1986
  • 21. P.A. Thiel, Prog. Surf. Sci., 75, 69, 2004
  • 22. D.J. Thouless, Phys. Rep., 13, 93, 1974
  • 23. F.J. Wegner, Z. Phys. B, 36, 209, 1980
  • 24. H.-W. Lee, Phys. Rep., 259, 147, 1995
  • 25. M. Hillery, R.F. O'Connel, M.O. Scully, E.P. Wigner, Phys. Rep., 106, 121, 1984
  • 26. R. Farchioni, G. Grosso, G. Pastori-Parravicini, J. Phys. Condens. Matter, 6, 9349, 1994
  • 27. N.J.A. Sloane, The On-Line Encyclopedia of Integer Sequences (2005), http://www.research.att.com/projects/OEIS?Anum=A003849
  • 28. N.F. Mott, J. Non-Cryst. Solids, 1, 1, 1968
  • 29. Y.V. Fyodorov, A.D. Mirlin, Phys. Rev. B, 51, 13403, 1995
  • 30. F. Evers, A.D. Mirlin, Phys. Rev. Lett., 84, 3690, 2000
  • 31. A. Wobst, G.-L. Ingold, P. Hanggi, D. Weinmann, Phys. Rev. B, 68, 85103, 2003
  • 32. D. Weinmann, S. Kohler, G.-L. Ingold, P. Hanggi, Ann. Phys. (Leipzig), 8, SI277, 1999
  • 33. I. Varga, J. Pipek, Phys. Rev. E, 68, 26202, 2003
  • 34. A. Wehrl, Rev. Mod. Phys., 50, 221, 1978
  • 35. S. Gnutzmann, K. Zyczkowski, J. Phys. A, Math. Gen., 34, 10123, 2001
Document Type
Publication order reference
Identifiers
YADDA identifier
bwmeta1.element.bwnjournal-article-appv110n409kz
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