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Persistent currents for a moving neutral particle with no permanent electric dipole moment

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Abstract

Topological effects on the confinement of a moving neutral particle with an induced electric dipole moment confined to a quantum ring and a two-dimensional quantum dot (described by a hard-wall confining potential) are investigated. It is shown in this work that the spectrum of energy depends on the geometric phase obtained by Wei et al. [H. Wei, R. Han, X. Wei, Phys. Rev. Lett. 75, 2071 (1995)] and persistent currents arise from this dependence in both the quantum ring and the quantum dot. Further, the behaviour of the analogue of the Landau system for a moving electric dipole confined to a two-dimensional quantum dot is discussed, and it is shown that persistent currents are absent in this case.

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References

  1. Y. Aharonov, D. Bohm, Phys. Rev. 115, 485 (1959)

    Article  MathSciNet  MATH  ADS  Google Scholar 

  2. J. Anandan, Phys. Lett. A 138, 347 (1989)

    Article  MathSciNet  ADS  Google Scholar 

  3. J. Anandan, Phys. Rev. Lett. 85, 1354 (2000)

    Article  ADS  Google Scholar 

  4. A. Shapere, F. Wilczek, Geometric Phases in Physics (World Scientific, Singapore, 1989)

  5. A. Bohm, A. Mostafazadeh, H. Koizumi, Q. Niu, J. Zwanziger, The Geometric Phase in Quantum Systems: Foundations, Mathematical Concepts and Applications in Molecular and Condensed Matter Physics (Springer-Verlag, Berlin, Heidelberg, 2003)

  6. J.P. Dowling, C. Williams, J.D. Franson, Phys. Rev. Lett. 83, 2486 (1999)

    Article  MathSciNet  MATH  ADS  Google Scholar 

  7. C. Furtado, G. Duarte, Phys. Scr. 71, 7 (2005)

    Article  MathSciNet  MATH  ADS  Google Scholar 

  8. Y. Aharonov, A. Casher, Phys. Rev. Lett. 53, 319 (1984)

    Article  MathSciNet  ADS  Google Scholar 

  9. X.G. He, B.H.J. McKellar, Phys. Rev. A 47, 3424 (1993)

    Article  ADS  Google Scholar 

  10. M. Wilkens, Phys. Rev. Lett. 72, 5 (1994)

    Article  ADS  Google Scholar 

  11. M. Peshkin, A. Tonomura, in The Aharonov-Bohm Effect, Lecture Notes in Physics (Springer-Verlag, Berlin, 1989), Vol. 340

  12. F.M. Andrade, E.O. Silva, M. Pereira, Phys. Rev. D 85, 041701(R) (2012)

    Article  ADS  Google Scholar 

  13. E.O. Silva, F.M. Andrade, Europhys. Lett. 101, 51005 (2013)

    Article  ADS  Google Scholar 

  14. C. Furtado, C.A. de Lima Ribeiro, Phys. Rev. A 69, 064104 (2004)

    Article  ADS  Google Scholar 

  15. T.Y. Lee, Phys. Rev. A 62, 064101 (2000)

    Article  ADS  Google Scholar 

  16. T.Y. Lee, Phys. Rev. A 64, 032107 (2001)

    Article  ADS  Google Scholar 

  17. V.B. Bezerra, J. Math. Phys. 30, 2895 (1989)

    Article  MathSciNet  MATH  ADS  Google Scholar 

  18. V.B. Bezerra, J. Math. Phys. 38, 2553 (1997)

    Article  MathSciNet  MATH  ADS  Google Scholar 

  19. S. Azevedo, F. Moraes, Phys. Lett. A 246, 347 (1998)

    Article  Google Scholar 

  20. C. Furtado, V.B. Bezerra, F. Moraes, Phys. Lett. A 289, 160 (2001)

    Article  ADS  Google Scholar 

  21. C. Furtado, C.A. de Lima Ribeiro, S. Azevedo, Phys. Lett. A 296, 171 (2002)

    Article  MATH  ADS  Google Scholar 

  22. K. Bakke, C. Furtado, Mod. Phys. Lett. A 26, 1331 (2011)

    Article  MATH  ADS  Google Scholar 

  23. K. Bakke, C. Furtado, Eur. Phys. J. B 86, 315 (2013)

    Article  ADS  Google Scholar 

  24. H. Wei, R. Han, X. Wei, Phys. Rev. Lett. 75, 2071 (1995)

    Article  ADS  Google Scholar 

  25. C.R. Hagen, Phys. Rev. Lett. 77, 1656 (1996)

    Article  ADS  Google Scholar 

  26. H. Wei, X. Wei, R. Han, Phys. Rev. Lett. 77, 1657 (1996)

    Article  ADS  Google Scholar 

  27. A.B. Kuklov, B.V. Svistunov, Phys. Rev. Lett. 90, 100401 (2003)

    Article  ADS  Google Scholar 

  28. J.K. Pachosn, E. Rico, Phys. Rev. A 70, 053620 (2004).

    Article  ADS  Google Scholar 

  29. L.M. Duan, E. Demler, M.D. Lukin, Phys. Rev. Lett. 91, 090402 (2003)

    Article  ADS  Google Scholar 

  30. D. Jaksch, C. Bruder, J.I. Cirac, C.W. Gardiner, P. Zoller, Phys. Rev. Lett. 81, 3108 (1998)

    Article  ADS  Google Scholar 

  31. D. Jaksch, P. Zoller, New J. Phys. 5, 56 (2003)

    Article  ADS  Google Scholar 

  32. W.V. Liu, F. Wilczek, P. Zoller, Phys. Rev. A 70, 033603 (2004)

    Article  ADS  Google Scholar 

  33. A. Jacob, P. Ohberg, G. Juzeliunas, L. Santos, New J. Phys. 10, 045022 (2008)

    Article  ADS  Google Scholar 

  34. I.I. Satija, D.C. Dakin, J.Y. Vaishnav, C.W. Clark, Phys. Rev. A 77, 043410 (2008)

    Article  ADS  Google Scholar 

  35. N. Byers, C.N. Yang, Phys. Rev. Lett. 7, 46 (1961)

    Article  ADS  Google Scholar 

  36. J. Audretsch, V.D. Skarzhinsky, Phys. Lett. A 241, 7 (1998)

    Article  ADS  Google Scholar 

  37. G. Spavieri, Phys. Rev. Lett. 81, 1533 (1998)

    Article  ADS  Google Scholar 

  38. M. Wilkens, Phys. Rev. Lett. 81, 1534 (1998)

    Article  ADS  Google Scholar 

  39. G. Spavieri, Phys. Rev. Lett. 82, 3932 (1999)

    Article  ADS  Google Scholar 

  40. G. Spavieri, Phys. Rev. A 59, 3194 (1999)

    Article  ADS  Google Scholar 

  41. W.H. Heiser, J.A. Shercliff, J. Fluid Mech. 22, 701 (1985)

    Article  ADS  Google Scholar 

  42. S.Y. Molokov, J.E. Allen, J. Phys. D 25, 393 (1992)

    Article  ADS  Google Scholar 

  43. C. Chryssomalakos, A. Franco, A. Reyes-Coronado, Eur. J. Phys. 25, 489 (2004)

    Article  MathSciNet  MATH  Google Scholar 

  44. V.M. Tkachuk, Phys. Rev. A 62, 052112 (2000)

    Article  ADS  Google Scholar 

  45. S. Lepoutre, A. Gauguet, G. Trénec, M. Büchner, J. Vigué, Phys. Rev. Lett. 109, 120404 (2012)

    Article  ADS  Google Scholar 

  46. K. Bakke, H. Belich, J. Phys. G 39, 085001 (2012)

    Article  ADS  Google Scholar 

  47. M. Abramowitz, I.A. Stegum, Handbook of Mathematical Functions (Dover Publications Inc., New York, 1965)

  48. D. Loss, P. Goldbart, A.V. Balatsky, Phys. Rev. Lett. 65, 1655 (1990)

    Article  ADS  Google Scholar 

  49. A. Stern, Phys. Rev. Lett. 68, 1022 (1992)

    Article  ADS  Google Scholar 

  50. X.-C. Gao, T.-Z. Qian, Phys. Rev. B 47, 7128 (1993)

    Article  MathSciNet  ADS  Google Scholar 

  51. H. Mathur, A.D. Stone, Phys. Rev. Lett. 68, 2964 (1992)

    Article  ADS  Google Scholar 

  52. A.V. Balatsky, B.L. Altshuler, Phys. Rev. Lett. 70, 1678 (1993)

    Article  ADS  Google Scholar 

  53. S. Oh, C.-M. Ryu, Phys. Rev. B 51, 13441 (1995)

    Article  ADS  Google Scholar 

  54. K. Bakke, C. Furtado, J. Math. Phys. 53, 023514 (2012)

    Article  MathSciNet  ADS  Google Scholar 

  55. T.-Z. Qian, Z.-B. Su, Phys. Rev. Lett. 72, 2311 (1994)

    Article  ADS  Google Scholar 

  56. H. Mathur, A.D. Stone, Phys. Rev. B 44, 10957 (1991)

    Article  ADS  Google Scholar 

  57. A.S. Goldharber, Phys. Rev. Lett. 62, 482 (1989)

    Article  ADS  Google Scholar 

  58. C.R. Hagen, Phys. Rev. Lett. 64, 2347 (1990)

    Article  MathSciNet  MATH  ADS  Google Scholar 

  59. M. Peshkin, Found. Phys. 29, 481 (1999)

    Article  Google Scholar 

  60. W.-C. Tan, J.C. Inkson, Phys. Rev. B 60, 5626 (1999)

    Article  ADS  Google Scholar 

  61. V.P. Frolov, V.D. Skarzhinsky, R.W. John, Nuovo Cim. 99, 67 (1987)

    Google Scholar 

  62. A.L. Silva Netto, C. Furtado, J. Phys.: Condens. Matter 20, 125209 (2008)

    ADS  Google Scholar 

  63. R.C.T. Costa, Phys. Rev. A 23, 182 (1981)

    Article  Google Scholar 

  64. E. Tsitsishvili, G.S. Lozano, A.O. Gogolin, Phys. Rev. B 70, 115316 (2004)

    Article  ADS  Google Scholar 

  65. N. Aquino, E. Castaño, E. Ley-Koo, Chinese J. Phys. 41, 276 (2003)

    ADS  Google Scholar 

  66. L. Solimany, B. Kramer, Solid State Commun. 96, 471 (1995)

    Article  ADS  Google Scholar 

  67. R. Rosas, R. Riera, J.L. Marín, J. Phys.: Condens. Matter 12, 6851 (2000)

    ADS  Google Scholar 

  68. K. Bakke, Cent. Eur. J. Phys. 11, 1589 (2013)

    Article  Google Scholar 

  69. S. Azevedo, F. Moraes, Phys. Lett. A 246, 374 (1998)

    Article  ADS  Google Scholar 

  70. C. Furtado, J.R. Nascimento, L.R. Ribeiro, Phys. Lett. A 358, 336 (2006)

    Article  MATH  ADS  Google Scholar 

  71. K. Bakke, Eur. Phys. J. B 85, 354 (2012)

    Article  ADS  Google Scholar 

Download references

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Authors and Affiliations

  1. Departamento de Física, Universidade Federal da Paraíba, Caixa Postal 5008, 58051-970, João Pessoa, PB, Brazil

    Knut Bakke & Claudio Furtado

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  1. Knut Bakke
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  2. Claudio Furtado
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Correspondence to Knut Bakke.

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Bakke, K., Furtado, C. Persistent currents for a moving neutral particle with no permanent electric dipole moment. Eur. Phys. J. B 87, 222 (2014). https://doi.org/10.1140/epjb/e2014-50106-5

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  • DOI: https://doi.org/10.1140/epjb/e2014-50106-5

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