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Spontaneous distortion in the spin-1/2 Ising-Heisenberg model on decorated planar lattices with a magnetoelastic coupling

Regular Article

Abstract

Magnetoelastic properties of the spin-1/2 Ising-Heisenberg model on doubly decorated planar lattices partially amenable to lattice vibrations are examined within the framework of the harmonic approximation and decoration-iteration transformation. It is shown that the magnetoelastic coupling may lead to a spontaneous distortion of the vibrating decorating atoms and the mutual interplay between quantum spin fluctuations and local lattice deformations enhances typical quantum features like the quantum reduction of the magnetization in the ground state of the quantum antiferromagnetic phase, while it does not affect the ground-state behaviour of the classical ferromagnetic phase. It also turns out that the spontaneous distortion is responsible for a much more pronounced reduction of the critical temperature in the quantum antiferromagnetic phase than in the classical ferromagnetic phase.

Keywords

Mesoscopic and Nanoscale Systems 

References

  1. 1.
    D.C. Mattis, in The Many-Body Problem: An Encyclopedia of Exactly Solved Models in One Dimension (World Scientific, Singapore, 1993)Google Scholar
  2. 2.
    D.A. Lavis, G.M. Bell, in Statistical Mechanics of Lattice Systems (Springer, Berlin, 1999)Google Scholar
  3. 3.
    H.T. Diep, H. Giacomini, in Frustrated Spin Systems, edited by H.T. Diep (World Scientific, Singapore, 2004)Google Scholar
  4. 4.
    F.Y. Wu, in Exactly Solved Models: A Journey in Statistical Mechanics (World Scientific, Singapore, 2009)Google Scholar
  5. 5.
    R. O’Handley, in Modern Magnetic Materials: Principles and Applications (Wiley, New York, 2000)Google Scholar
  6. 6.
    O.K. Rice, J. Chem. Phys. 22, 1535 (1954)ADSCrossRefGoogle Scholar
  7. 7.
    C. Domb, J. Chem. Phys. 24, 783 (1956)ADSCrossRefGoogle Scholar
  8. 8.
    C.P. Bean, D.S. Rodbell, Phys. Rev. 126, 10 (1962)ADSCrossRefGoogle Scholar
  9. 9.
    D.C. Mattis, T.D. Schultz, Phys. Rev. 129, 175 (1963)ADSMATHCrossRefGoogle Scholar
  10. 10.
    G.E. Baker, J.W. Essam, Phys. Rev. Lett. 24, 447 (1970)ADSCrossRefGoogle Scholar
  11. 11.
    L. Gunther, D.J. Bergman, Y. Imry, Phys. Rev. Lett. 27, 558 (1971)ADSCrossRefGoogle Scholar
  12. 12.
    N. Matsudaira, J. Phys. Soc. Jpn 25, 1225 (1968)ADSCrossRefGoogle Scholar
  13. 13.
    S.R. Salinas, J. Phys. C: Solid State Phys. 7, 241 (1974)ADSCrossRefGoogle Scholar
  14. 14.
    K.A. Penson, Phys. Rev. B 8, 2119 (1973)ADSCrossRefGoogle Scholar
  15. 15.
    Y. Imry, Phys. Rev. Lett. 33, 1304 (1974)ADSCrossRefGoogle Scholar
  16. 16.
    D.J. Bergman, B.I. Halperin, Phys. Rev. B 13, 2145 (1976)ADSCrossRefGoogle Scholar
  17. 17.
    M.E. Fisher, Phys. Rev. 176, 257 (1968)ADSCrossRefGoogle Scholar
  18. 18.
    P. Pincus, Solid State Commun. 9, 1971 (1971)ADSCrossRefGoogle Scholar
  19. 19.
    G. Beni, P. Pincus, J. Chem. Phys. 57, 3531 (1972)ADSCrossRefGoogle Scholar
  20. 20.
    J.H. Taylor, G. Müller, Physica A 130, 1 (1985)ADSCrossRefGoogle Scholar
  21. 21.
    K. Okamoto, Solid State Commun. 83, 1039 (1992)ADSCrossRefGoogle Scholar
  22. 22.
    O. Derzhko, J. Richter, O. Zaburannyi, J. Phys.: Condens. Matter 12, 8661 (2000)ADSCrossRefGoogle Scholar
  23. 23.
    I.G. Enting, J. Phys. A 6, 170 (1973)ADSCrossRefGoogle Scholar
  24. 24.
    S.R. Salinas, J. Phys. A 6, 1527 (1973)ADSCrossRefGoogle Scholar
  25. 25.
    B.S. Lee, Prog. Theor. Phys. 50, 2093 (1973)ADSCrossRefGoogle Scholar
  26. 26.
    M. Barma, Phys. Rev. B 12, 2710 (1975)ADSCrossRefGoogle Scholar
  27. 27.
    K.A. Penson, A. Holz, K.H. Bennemann, Phys. Rev. B 13, 433 (1976)ADSCrossRefGoogle Scholar
  28. 28.
    M. Marchand, A. Caille, J. Appl. Phys. 57, 3346 (1985)ADSCrossRefGoogle Scholar
  29. 29.
    T.A. Kaplan, Phys. Rev. B 80, 012407 (2009)ADSCrossRefGoogle Scholar
  30. 30.
    T.A. Kaplan, Phys. Rev. B 80, E229906 (2009)ADSCrossRefGoogle Scholar
  31. 31.
    E. Orignac, R. Citro, Phys. Rev. B 71, 214419 (2005)ADSCrossRefGoogle Scholar
  32. 32.
    E. Pytte, Ann. Phys. 32, 377 (1965)ADSMATHCrossRefGoogle Scholar
  33. 33.
    E. Pytte, Phys. Rev. B 10, 4637 (1974)ADSCrossRefGoogle Scholar
  34. 34.
    G. Beni, J. Chem. Phys. 58, 3200 (1973)ADSCrossRefGoogle Scholar
  35. 35.
    M.C. Cross, D.S. Fisher, Phys. Rev. B 19, 402 (1979)ADSCrossRefGoogle Scholar
  36. 36.
    G.S. Uhrig, Phys. Rev. B 57, R14004 (1998)ADSCrossRefGoogle Scholar
  37. 37.
    D. Augier, D. Poilblanc, Eur. Phys. J. B 1, 19 (1998)ADSCrossRefGoogle Scholar
  38. 38.
    H. Onishi, S. Miyashita, J. Phys. Soc. Jpn 72, 392 (2003)ADSCrossRefGoogle Scholar
  39. 39.
    S. Akiyama, Ch. Yasuda, J. Phys. Soc. Jpn 80, 104709 (2011)ADSCrossRefGoogle Scholar
  40. 40.
    J. Strečka, M. Jacščur, Phys. Rev. B 66, 174415 (2002)ADSCrossRefGoogle Scholar
  41. 41.
    J. Strečka, M. Jacščur, Acta Phys. Slovaca 56, 65 (2006)Google Scholar
  42. 42.
    J. Strečka, L. Čanová, M. Jaščur, M. Hagiwara, Phys. Rev. B 78, 024427 (2008)ADSCrossRefGoogle Scholar
  43. 43.
    D.X. Yao, Y.L. Loh, E.W. Carlson, M. Ma, Phys. Rev. B 78, 024428 (2008)ADSCrossRefGoogle Scholar
  44. 44.
    J.S. Valverde, O. Rojas, S.M. de Souza, Phys. Rev. E 79, 041101 (2009)ADSCrossRefGoogle Scholar
  45. 45.
    J. Strečka, L. Čanová, K. Minami, Phys. Rev. E 79, 051103 (2009)MathSciNetADSCrossRefGoogle Scholar
  46. 46.
    J. Strečka, L. Čanová, K. Minami, Phys. Rev. E 83, E069904 (2011)ADSCrossRefGoogle Scholar
  47. 47.
    Z.-Y. Sun, L. Li, N. Li, K.-L. Yao, J. Liu, B. Luo, G.-H. Du, H.-N. Li, Europhys. Lett. 95, 30008 (2011)ADSCrossRefGoogle Scholar
  48. 48.
    S. Bellucci, V. Ohanyan, Eur. Phys. J. B 75, 531 (2010)ADSMATHCrossRefGoogle Scholar
  49. 49.
    J. Lu, W.T.A. Harrison, A.J. Jacobson, Chem. Commun. 399 (1996)Google Scholar
  50. 50.
    Y. Miyazato, M. Ohba, H. Okawa, Bull. Chem. Soc. Jpn 78, 1646 (2005)CrossRefGoogle Scholar
  51. 51.
    M. Verdauger, Polyhedron 20, 1115 (2001)CrossRefGoogle Scholar
  52. 52.
    J. Černák, M. Orendač, I. Potočňák, J. Chomič, A. Orendáčová, J. Skoršepa, A. Feher, Coord. Chem. Rev. 224, 51 (2002)CrossRefGoogle Scholar
  53. 53.
    R. Lescouezec, L.M. Toma, J. Vaissermann, M. Verdaguer, F.S. Delgado, C. Ruiz-Pérez, F. Lloret, M. Julve, Coord. Chem. Rev. 249, 2691 (2005)CrossRefGoogle Scholar
  54. 54.
    M.E. Fisher, Phys. Rev. 113, 969 (1959)ADSCrossRefGoogle Scholar
  55. 55.
    O. Rojas, J.S. Valverde, S.M. de Souza, Physica A 388, 1419 (2009)MathSciNetADSCrossRefGoogle Scholar
  56. 56.
    J. Strečka, Phys. Lett. A 374, 3718 (2010)MathSciNetADSCrossRefGoogle Scholar
  57. 57.
    J. Strečka, in On the Theory of Generalized Algebraic Transformations (LAP LAMBERT Academic Publishing, Saarbrücken, 2010)Google Scholar
  58. 58.
    L. Onsager, Phys. Rev. 65, 117 (1944)MathSciNetADSMATHCrossRefGoogle Scholar
  59. 59.
    R.M.F. Houtappel, Physica 16, 425 (1950)MathSciNetADSMATHCrossRefGoogle Scholar
  60. 60.
    H.N.V. Temperley, Proc. Roy. Soc. A 203, 202 (1950)MathSciNetADSGoogle Scholar
  61. 61.
    C. Domb, Adv. Phys. 9, 149 (1960)ADSCrossRefGoogle Scholar
  62. 62.
    B.M. McCoy, T.T. Wu, The Two-Dimensional Ising Model (Harvard University Press, Cambridge, 1973)Google Scholar
  63. 63.
    J.H. Barry, M. Khatun, T. Tanaka, Phys. Rev. B 37, 5193 (1988)MathSciNetADSCrossRefGoogle Scholar
  64. 64.
    M. Khatun, J.H. Barry, T. Tanaka, Phys. Rev. B 42, 4398 (1990)ADSCrossRefGoogle Scholar
  65. 65.
    J.H. Barry, T. Tanaka, M. Khatun, C.H. Múnera, Phys. Rev. B 44, 2595 (1991)ADSCrossRefGoogle Scholar
  66. 66.
    J.H. Barry, M. Khatun, Phys. Rev. B 51, 5840 (1995)ADSCrossRefGoogle Scholar
  67. 67.
    C.N. Yang, Phys. Rev. 85, 808 (1952)ADSMATHCrossRefGoogle Scholar
  68. 68.
    K.Y. Lin, Chinese J. Phys. 30, 287 (1992)ADSGoogle Scholar
  69. 69.
    H.B. Callen, Phys. Lett. 4, 161 (1963)MathSciNetADSCrossRefGoogle Scholar
  70. 70.
    M. Suzuki, Phys. Lett. 19, 267 (1965)MathSciNetADSMATHCrossRefGoogle Scholar
  71. 71.
    F.C. SáBarreto, I.P. Fittipaldi, B. Zeks, Ferroelectrics 39, 1103 (1981)CrossRefGoogle Scholar
  72. 72.
    F.C. SáBarreto, I.P. Fittipaldi, Physica A 129, 360 (1985)ADSCrossRefGoogle Scholar
  73. 73.
    T. Balcerzak, J. Magn. Magn. Mater. 246, 213 (2002)ADSCrossRefGoogle Scholar
  74. 74.
    O. Rojas, J. Strečka, S.M. de Souza, unpublished resultsGoogle Scholar

Copyright information

© EDP Sciences, SIF, Springer-Verlag Berlin Heidelberg 2012

Authors and Affiliations

  1. 1.Department of Theoretical Physics and Astrophysics, Faculty of ScienceP. J. Šafárik UniversityKošiceSlovak Republic
  2. 2.Departamento de Ciencias ExatasUniversidade Federal de LavrasMGBrazil

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