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2012 | 121 | 1 | 30-32
Article title

Calculation of Anderson Localization Length by Using Generalized Quantum Kicked Rotator Analytically

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Abstracts
EN
We use the generalized quantum kicked rotator model and its relation with the Anderson model. We calculate localization length analytically. For this reason, we consider a one-dimensional rotator model for a special potential whose an impulse is applied at equal time intervals, T. We obtain time evolution of the wave function between two successive impulses by an evolution matrix. We change this model to the tight-binding model for a particle on a one-dimensional lattice. At special case the wave function is localized, and then we derive the Anderson localization length for the system analytically.
Keywords
EN
Publisher

Year
Volume
121
Issue
1
Pages
30-32
Physical description
Dates
published
2012-01
Contributors
author
  • Department of Physics, Payame Noor University (PNU), Tehran, I.R. of Iran
author
  • Department of Physics, Payame Noor University (PNU), Tehran, I.R. of Iran
author
  • Department of Physics, Payame Noor University (PNU), Tehran, I.R. of Iran
References
  • 1. G. Casati, B.V. Chirikov, F.M. Izrailev, J. Ford, in: Lecture Notes in Physics, Eds. G. Casati, J. Ford, Vol. 93, Springer, New York 1979, p. 334
  • 2. H.J. Stockmann, Quantum Chaos, Cambridge University Press, Cambridge (UK) 1999, p. 135
  • 3. P.W. Anderson, Rev. Mod. Phys. 50, 191 (1978)
  • 4. S. Fishman, D.R. Grempel, R.E. Prange, Phys. Rev. Lett. 49, 509 (1982)
  • 5. A.M. Garcia-Garcia, J. Wang, Acta Phys. Pol. A 112, 635 (2007)
  • 6. P.W. Anderson, Phys. Rev. 109, 1492 (1958)
  • 7. A. Romanelli, G. Hern├índez, Physica A 389, 3420 (2010)
  • 8. D.J. Thouless, J. Phys. C, Solid State Phys. 77, 5 (1971)
  • 9. A. Gharaati, Turk. J. Phys. 33, 235 (2009)
  • 10. O.M. Braun, Y.S. Kivshar, Phys. Rep. 306, 1 (1998)
  • 11. U.M. Engel, Ph.D. Thesis, Wilhelms University, Munster, Germany 2003, p. 121
Document Type
Publication order reference
Identifiers
YADDA identifier
bwmeta1.element.bwnjournal-article-appv121n108kz
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