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Screw dislocation and external fields effects on the Kratzer pseudodot

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Abstract

In this research, we investigate the influence of the screw dislocation on the energy levels of nonrelativistic electrons on a two-dimensional solid taking into account the deformed Kratzer potential under an external magnetic and the Aharonov–Bohm (AB) fields. We obtain the bound state energy eigenvalues equation and the corresponding wave functions by using the Frobenius method. We also calculate the direct interband light absorption coefficient and threshold frequency of absorption in a quantum pseudodot. Some of the numerical results are given.

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References

  1. J. Bardeen, W. Shockley, Phys. Rev. 80, 72 (1950)

    Article  ADS  Google Scholar 

  2. M.O. Katanaev, Phys. Uspekhi 48, 675 (2005)

    Article  ADS  Google Scholar 

  3. R.J. Slager, A. Messaros, V. Juricic, J. Zaanen, Phys. Rev. B 90, 241403(R) (2014)

    Article  ADS  Google Scholar 

  4. M. Reiche, M. Kittler, M. Schmelz, R. Stolz, E. Pippel, H. Uebensee, M. Kermann, T. Ortlapp, J. Phys.: Conf. Ser. 568, 052024 (2014)

    Google Scholar 

  5. E. Aurell, J. Phys. A: Math. Gen. 32, 571 (1999)

    Article  ADS  Google Scholar 

  6. S. Zhou, Y. Liu, P. Lu, L. Han, Z. Yu, J. Nanomater. 2014, 103640 (2014)

    Google Scholar 

  7. E. Cartan, C.R. Acad. Sci. (Paris) 174, 593 (1922)

    Google Scholar 

  8. E. Cartan, On manifolds with an affine connection and the theory of general relativity (Bibliopolis, Naples, 1986)

  9. M.O. Katanaev, I.V. Volovich, Ann. Phys. (NY) 271, 203 (1999)

    Article  ADS  Google Scholar 

  10. I.L. Shapiro, Phys. Rep. 357, 113 (2002)

    Article  ADS  MathSciNet  Google Scholar 

  11. K. Kondo, in Proc. 2nd Japan Nat. Congr. Applied Mechanics (1952), p. 41

  12. B.A. Bilby, R. Bullough, E. Smith, Proc. R. Soc. Lond. Ser. A 231, 263 (1955)

    Article  ADS  Google Scholar 

  13. I.E. Dzyaloshinskii, G.E. Volovik, J. Phys. 39, 693 (1978)

    Article  Google Scholar 

  14. R.A. Puntigam, H.H. Soleng, Class. Quantum Grav. 14, 1129 (1997)

    Article  ADS  Google Scholar 

  15. H. Taira, H. Hima, Solid Stat. Commun. 177, 61 (2014)

    Article  ADS  Google Scholar 

  16. M.R. Gilbert, S. Queyreau, J. Marian, Phys. Rev. B 84, 174103 (2011)

    Article  ADS  Google Scholar 

  17. X. Ma, Mater. Sci. Eng. B 129, 216 (2006)

    Article  Google Scholar 

  18. E. Dumiszewska, W. Strupinski, K. Zdunek, J. Superhard Mater. 29, 174 (2007)

    Article  Google Scholar 

  19. F. Meng, A.M. Stephan, A. Forticaux, S. Jin, Acc. Chem. Res. 46, 1616 (2013)

    Article  Google Scholar 

  20. S.V. Bobylev, T. Ishizaki, S. Kuramoto, A. Ovid’ko, Phys. Rev. B 77, 094115 (2008)

    Article  ADS  Google Scholar 

  21. J.D. Eshelby, J. Appl. Phys. 24, 176 (1953)

    Article  ADS  Google Scholar 

  22. K.Z. Kawamura, Z. Phys. B 29, 101 (1978)

    Article  ADS  MathSciNet  Google Scholar 

  23. K.Z. Kawamura, Z. Phys. B 30, 1 (1978)

    Article  ADS  Google Scholar 

  24. Y. Yosida, K.Z. Kawamura, Z. Phys. B 32, 355 (1979)

    Article  ADS  Google Scholar 

  25. A.S Baimuratov, I.D. Rukhlenko, R.E. Noskov, P. Ginzburg, Y.K. Gun’ko, A.V. Baranov, A.V. Fedorov, Sci. Rep. 5, 14712 (2015)

    Article  ADS  Google Scholar 

  26. M.A. Razumova, V.N. Khotyaint, Phys. Stat. Sol. (b) 188, 751 (1995)

    Article  ADS  Google Scholar 

  27. J. Li, Q. Fang, Y. Liu, Physica B 442, 6 (2014)

    Article  ADS  Google Scholar 

  28. F. Justo Joao, V.C. Assali Lucy, Physica B 308–310, 489 (2001)

    Article  Google Scholar 

  29. M.J. Bueno, C. Furtado, K. Bakke, Physica B 496, 45 (2016)

    Article  ADS  Google Scholar 

  30. R.C.A. de Lima, C. Furtado, F. Moraes, Europhys. Lett. 62, 306 (2003)

    Article  ADS  Google Scholar 

  31. C. Furtado, F. Moraes, J. Phys. A: Math. Gen. 33, 5513 (2000)

    Article  ADS  Google Scholar 

  32. K. Bakke, R. Ribeiro Lincoln, C. Furtado, Cent. Eur. J. Phys. 8, 893 (2010)

    Google Scholar 

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

    Article  ADS  Google Scholar 

  34. C.A. de Lima Ribeiro, A.M. de M. Carvalho, C. Furtado, Prog. Theor. Phys. 124, 547 (2010)

    Article  ADS  Google Scholar 

  35. K. Bakke, Ann. Phys (NY) 346, 51 (2014)

    Article  ADS  MathSciNet  Google Scholar 

  36. G.d.A. Marques, V.B. Bezerra, V.B. Bezerra, C. Furtado, Int. J. Mod. Phys. A 20, 6051 (2005)

    Article  ADS  Google Scholar 

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

    Article  ADS  MathSciNet  Google Scholar 

  38. R. Torabi, Physica B 407, 2109 (2012)

    Article  ADS  Google Scholar 

  39. Y. Tokumoto, N. Shibata, T. Mizoguhci, T. Yamamoto, Y. Ikuhara, Physica B 404, 4886 (2009)

    Article  ADS  Google Scholar 

  40. Q.H. Fang, H.P. Song, Y.W. Liu, Physica B 404, 1897 (2009)

    Article  ADS  Google Scholar 

  41. G. Maciejewski, Physica B 401–402, 699 (2007)

    Article  Google Scholar 

  42. A.A. Lima, Filgueiras, F. Moraes, Eur. Phys. J. B 90, 32 (2017)

    Article  ADS  Google Scholar 

  43. S. Azevedo, Phys. Lett. A 293, 283 (2002)

    Article  ADS  MathSciNet  Google Scholar 

  44. S.R. Vieira, S. Azevedo, Phys. Lett. A 288, 29 (2001)

    Article  ADS  MathSciNet  Google Scholar 

  45. S. Azevedo, J. Pereira, Phys. Lett. A 275, 463 (2000)

    Article  ADS  Google Scholar 

  46. C. Filgueiras, M. Rojas, G. Aciole, E.O. Silva, Phys. Lett. A 380, 3847 (2016)

    Article  ADS  MathSciNet  Google Scholar 

  47. M. Katanaev, I. Volovich, Ann. Phys. 216, 1 (1992)

    Article  ADS  Google Scholar 

  48. R. Bausch, R. Schmitz, U.A. Turski, Ann. Phys. (Leipzig) 8, 181 (1999)

    Article  ADS  Google Scholar 

  49. A. Kratzer, Z. Phys. 3, 289 (1920)

    Article  ADS  Google Scholar 

  50. M. Hamzavi, A.A. Rajabi, A. Hassanabadi, Few Body Syst. 48, 171 (2010)

    Article  ADS  Google Scholar 

  51. K. Bakke, C. Furtado, Ann. Phys. 355, 48 (2015)

    Article  ADS  Google Scholar 

  52. E.R. Figueiredo Medeiros, E.R. Bezerra de Mello, Eur. Phys. J. C 72, 2051 (2012)

    Article  ADS  Google Scholar 

  53. J. Myrhein, E. Halvorsen, A. Vercin, Phys. Lett. B 278, 171 (1992)

    Article  ADS  Google Scholar 

  54. A. Vercin, Phys. Lett. B 260, 120 (1991)

    Article  ADS  MathSciNet  Google Scholar 

  55. J. Grundberg, T.H. Hansson, A. Karlhede, J.M. Leinaas, Mod. Phys. Lett. B 5, 539 (1991)

    Article  ADS  Google Scholar 

  56. A. Ronveaux (Ed.), Heuns differential equations (Oxford University Press, Oxford, 1995)

  57. K. Bakke, F. Moraes, Phys. Lett. A 376, 2838 (2012)

    Article  ADS  Google Scholar 

  58. K. Bakke, Ann. Phys. (NY) 341, 86 (2014)

    Article  ADS  Google Scholar 

  59. G.B. Arfken, H.J. Weber, Mathematical methods for physicists, sixth ed. (Elsevier Academic Press, New York, 2005)

  60. C. Furtado, B.G.C.D. Cunha, F. Moraes, E.R. Bezerra de Mello, V.B. Bezerra, Phys. Lett. A 195, 90 (1994)

    Article  ADS  Google Scholar 

  61. K. Bakke, H. Belich, Eur. Phys. J. Plus 127, 102 (2012)

    Article  Google Scholar 

  62. K. Bakke, H. Belich, Ann. Phys. (NY) 333, 272 (2013)

    Article  ADS  Google Scholar 

  63. C. Furtado et al., Phys. Lett. A 195, 90 (1994)

    Article  ADS  Google Scholar 

  64. P.M.T. Barboza, K. Bakke, Ann. Phys. NY 361, 259 (2015)

    Article  Google Scholar 

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

    Article  ADS  MathSciNet  Google Scholar 

  66. B. Olivira Abinael, K. Bakke, Proc. R. Soc. A 472, 20150858 (2016)

    Article  ADS  Google Scholar 

  67. R. Khordad, Indian J. Phys. 87, 623 (2013)

    Article  ADS  Google Scholar 

Download references

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Authors and Affiliations

  1. Department of Physics, University of Zanjan, Zanjan, Iran

    Nahid Soheibi & Majid Hamzavi

  2. Yang Researchers and Elite Club, Central Tehran Branch, Islamic Azad University, Tehran, Iran

    Mahdi Eshghi

  3. Department of Physics, Faculty of Science, An-Najah National University, Nablus, West Bank, Palestine

    Sameer M. Ikhdair

  4. Department of Electrical Engineering, Near East University, Nicosia, Northern Cyprus, Mersin, 10, Turkey

    Sameer M. Ikhdair

Authors
  1. Nahid Soheibi
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  2. Majid Hamzavi
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  3. Mahdi Eshghi
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  4. Sameer M. Ikhdair
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Correspondence to Mahdi Eshghi.

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Soheibi, N., Hamzavi, M., Eshghi, M. et al. Screw dislocation and external fields effects on the Kratzer pseudodot. Eur. Phys. J. B 90, 212 (2017). https://doi.org/10.1140/epjb/e2017-80468-9

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  • DOI: https://doi.org/10.1140/epjb/e2017-80468-9

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