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2009 | 116 | 4 | 486-488
Article title

Interplays between Mesoscopic Josephson Junctions and the Harper Equation

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Abstracts
EN
Proofs are given that by resorting to the discretization of the superconducting phase variable leads to the conversion of the eigenvalue equation of a mesoscopic Josephson junction under a dc voltage into a generalized version of the Harper equation with anisotropy parameter. A full conversion proceeds, however, in terms of selected parameters. Classical limits and further generalizations are also shortly discussed.
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Contributors
author
  • Department of Theoretical Physics, West University of Timisoara, Bul. V. Parvan 4, RO-300223 Timisoara, Romania
author
  • Department of Physics, North University of Baia Mare, Str. Victoriei 76, RO-430122 Baia Mare, Romania
author
  • Department of Physics, West University of Timisoara, Bul. V. Parvan no. 4, RO-300223 Timisoara, Romania
References
  • 1. M. Wilkinson, Proc. R. Soc. Lond. A 403, 135 (1986)
  • 2. D.R. Hofstadter, Phys. Rev. B 14, 2239 (1976)
  • 3. S. Aubry, G. Andre, Ann. Isr. Phys. Soc. 3, 133 (1980)
  • 4. Y.Y. Wang, B. Pannetier, R. Rammal, J. Phys. (France) 48, 2067 (1987)
  • 5. Y. Morita, Y. Hatsugai, Phys. Rev. Lett. 86, 151 (2001)
  • 6. D.J. Thouless, B. Kohmoto, M.P. Nightingale, M. den Nijs, Phys. Rev. Lett. 49, 405 (1982)
  • 7. J. Vidal, P. Butaud, B. Doucot, R. Mosseri, Phys. Rev. B 64, 155306 (2001)
  • 8. K.K. Likharev, Dynamics of Josephson Junctions and Circuits, Gordon and Breach, Amsterdam 1996
  • 9. A. Vourdas, Phys. Rev. B 49, 12040 (1994)
  • 10. Z. Jian, S. Bin, X.X. San, Phys. Lett. A 231, 123 (1997)
  • 11. E. Papp, C. Micu, Low Dimensional Nanoscale Systems on Discrete Spaces, World Sci., Singapore 2007
  • 12. G. Schön, A.D. Zaikin, Phys. Rep. 198, 237 (1990)
  • 13. B. Shao, J. Zou, Q. Li, Phys. Rev. B 60, 9714 (1999)
  • 14. B. Shao, J. Zou, R. Wang, Phys. Lett. A 242, 105 (1998)
  • 15. L.M. Kuang, Y. Wang, M.L. Ge, Phys. Rev. B 53, 11764 (1996)
  • 16. A. Vourdas, T.P. Spiller, Z. Phys. B 102, 43 (1997)
  • 17. A.F. Nikiforov, S.K. Suslov, V.B. Uvarov, Classical Orthogonal Polynomials of a Discrete Variable, Springer, Berlin 1991
  • 18. L.D. Faddeev, N. Reshetikhin, L.A. Takhtajan, Leningrad Math. J. 1, 193 (1990)
  • 19. A. Connes, Noncommutative Geometry, Academic Press, New York 1994
  • 20. R.L. Kautz, J. Appl. Phys. 62, 198 (1987)
  • 21. D.H. Dunlap, V. Kovanis, R.V. Duncan, J. Simmons, Phys. Rev. B 48, 7975 (1993)
  • 22. H. Seifert, Phys. Lett. A 101, 230 (1984)
  • 23. N.N. Bogoliubov, Y.A. Mitropolsky, Asymptotic Methods of Nonlinear Oscillations, Gordon and Breach, New York 1961
  • 24. K. Tomita, Phys. Rep. 86, 113 (1982)
  • 25. E. Papp, C. Micu, Phys. Rev. E 64, 056203 (2001)
  • 26. Q. Niu, X.G. Zhao, G.A. Georgakis, M.G. Raizen, Phys. Rev. Lett. 76, 4504 (1996)
  • 27. X.G. Zhao, R. Jahnke, Q. Niu, Phys. Lett. A 202, 297 (1995)
  • 28. A.Z. Zhang, P. Zhang, D. Suqing, X.G. Zhao, J. Liang, Phys. Lett. A 292, 275 (2002)
  • 29. E. Papp, Int. J. Mod. Phys. B 20, 2237 (2006)
  • 30. J. Wang, K.S. Chan, J. Phys. Condens. Matter 21, 2457 (2009)
  • 31. G.E. Draganescu, A. Messina, A. Napoli, J. Mod. Opt. 56, 508 (2009)
  • 32. R. Migliore, A. Messina, J. Opt. B, Quantum Semiclass. Opt. 6, S 136 (2004)
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bwmeta1.element.bwnjournal-article-appv116n411kz
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