Journal of Superconductivity and Novel Magnetism

, Volume 27, Issue 10, pp 2379–2383 | Cite as

Magnetization Process of the Spin-1/2 Two-Leg Ladder Compound (C5H12N)2 CuBr4: The Jordan-Wigner Approach

  • Fatemeh Amiri
  • Saeed Mahdavifar
  • Hanif Hadipour
Original Paper


We have studied the magnetization process in the spin S = 1/2 antiferromagnetic two-leg ladder compound (C5H12N)2 CuBr4 by using the analytical fermionization technique. The magnetization and the susceptibility are calculated as functions of the temperature and the external magnetic field. The magnetization of the system shows various behaviors in different regions of the magnetic field. The field-dependence of the susceptibility is almost symmetric about the average of quantum critical fields in the low-temperature region leading to a complete agreement with the experimental results.


Spin-1/2 Two-leg ladder Jordan-Wigner transformation Susceptibility Magnetization 


  1. 1.
    Dagotto, E.: Rep. Prog. Phys. 62, 1525 (1999)CrossRefADSGoogle Scholar
  2. 2.
    Dagotto, E., Rice, T.M.: Science 271, 618 (1996)CrossRefADSGoogle Scholar
  3. 3.
    Barnes, T., Dagotto, E., Riera, J., Swanson, E.S.: Phys. Rev. B 47, 3196 (1993)CrossRefADSGoogle Scholar
  4. 4.
    Azuma, M., Hiroi, Z., Takano, M., Ishida, K., Kitaoka, Y.: Phys. Rev. Lett. 73, 3463 (1994)CrossRefADSGoogle Scholar
  5. 5.
    Landee, C.P., Galeriu, M.M., Turnbull, C., Giantsidis, J., Woodward, F.M.: Phys. Rev. B 100402, 63 (2001)Google Scholar
  6. 6.
    Chaboussant, G., Julien, M.-H., Fagot-Revurat, Y., Levy, L.P., Berthier, C., Horvatic, M., Piovesana, O.: Phys. Rev. Lett. 79, 925 (1997)CrossRefADSGoogle Scholar
  7. 7.
    Chaboussant, G., Fagot-Revurat, Y., Julien, M.-H., Hanson, M.E., Berthier, C., Morvatic, M, Levy, L.P., Piovesana, O.: Phys. Rev. Lett. 80, 2713 (1998)CrossRefADSGoogle Scholar
  8. 8.
    Chaboussant, G., Crowell, P.A., Levy, L.P, Piovesana, O., Madouri, A., Dailly, D.: Phys. Rev. B 55, 3046 (1997)CrossRefADSGoogle Scholar
  9. 9.
    Savici, A.T., Ganroth, G.E., Broholm, C.L., Pajerowski, D.M., Brown, C.M., Talham, D.R., Meise, M.W., Schmidt, K.P., Uhrig, G.S., Nagle, S.E.: Phys. Rev. B 80, 094411 (2009)CrossRefADSGoogle Scholar
  10. 10.
    Patyal, B.R., Scott, B.L., Willett, R.D.: Phys. Rev. B 41, 1657 (1990)CrossRefADSGoogle Scholar
  11. 11.
    Watson, B.C., Kotov, V.N., Meisel, M.W., Hall, D.W., Granroth, G.E., Montfrooij, W.T., Nagler, S.E., Jensen, D.A., Backov, R., Petruska, M.A., Fanucci, G.E., Talham, D.R.: Phys. Rev. Lett. 86, 5168 (2001)CrossRefADSGoogle Scholar
  12. 12.
    Lorentz, T., Heyer, O., Garst, M., Anfuso, F., Rosch, A., Ruegg, C., Kramer, K.: Phys. Rev. Lett. 100, 067208 (2008)CrossRefADSGoogle Scholar
  13. 13.
    klanjsek, M., Mayaffre, H., Berthier, C., Horvatic, M., Rosch, A., Chiari, B., Piovesana, O., Bouillot, P., Kollath, C., Orignac, E., Citro, R., Giamarchi, T.: Phys. Rev. Lett. 101, 137207 (2008)CrossRefADSGoogle Scholar
  14. 14.
    Anfuso, F., Garst, M., Rosch, A., Heyer, O., Lorentz, T., Rüegg, C., Krämer, K.: Phys. Rev. B 77, 235113 (2008)CrossRefADSGoogle Scholar
  15. 15.
    Rüegg, Ch., Kiefer, K., Thielemann, B., McMorrow, D.F., Zapf, V., Normand, B., Zvonarev, M.B., Bouillot, P., Kollath, C., Giamarchi, T., Capponi, S., Poilblanc, D., Biner, D., Krämer, K.W.: Phys. Rev. Lett. 101, 247202 (2008)CrossRefADSGoogle Scholar
  16. 16.
    Thielemann, B., et al.: Phys. Rev. B 79, 020408(R) (2009)CrossRefADSGoogle Scholar
  17. 17.
    Thielemann, B., et al.: Phys. Rev. Lett. 102, 107204 (2009)CrossRefADSGoogle Scholar
  18. 18.
    Sologubenko, A.V., Lorenz, T., Mydosh, J.A., Thielemann, B., Ronnow, H.M., Ruegg, Ch., Kramer, K.: Phys. Rev. B 80, 220411(R) (2009)CrossRefADSGoogle Scholar
  19. 19.
    Cizmar, E., Ozerov, M., Wosnitza, J., Thielmann, B., Kramer, K.W., Ruegg, Ch., Piovesana, O., Klanjsek, M., Horvatic, M., Berthier, C., Zvyangin, S.A.: Phys. Rev. B 82, 054431 (2010)CrossRefADSGoogle Scholar
  20. 20.
    Giamarchi, T., Tsvelik, A.M.: Phys. Rev. B 59, 11398 (1999)CrossRefADSGoogle Scholar
  21. 21.
    Sachdev, S., Senthil, T., Shankar, R.: Phys. Rev. B 50, 258 (1994)CrossRefADSGoogle Scholar
  22. 22.
    Bouillot, P., Kollath, C., Lauchli, A.M., Zvonarev, M., Thielemann, B., Ruegg, Ch., Orignac, E., Citro, R., Klanjsek, M., Berthier, C., Horvatic, M., Giamarchi, T.: Phys. Rev. B 83, 054407 (2011)CrossRefADSGoogle Scholar
  23. 23.
    Derzhko, O.: J. Phys. Stud. 5, 49 (2001)MathSciNetMATHGoogle Scholar
  24. 24.
    Amiri, F., Mahdavifar, S., Hadipour, H., Naseri, M S: arXiv:13091548 (2013)
  25. 25.
    Mila, F.: Eur. Phys. J. B 6, 201 (1998)CrossRefADSGoogle Scholar
  26. 26.
    Totsuka, K.: Phys. Rev. B 57, 3454 (1998)CrossRefADSGoogle Scholar
  27. 27.
    Dai, X., Su, Z.: Phys. Rev. B 57, 964 (1998)CrossRefADSGoogle Scholar
  28. 28.
    Azzouz, M., Chen, L., Moukouri, S.: Phys. Rev. B 50, 6233 (1994)CrossRefADSGoogle Scholar
  29. 29.
    Nunner, T.S., Kopp, T.: Phys. Rev. B 69, 104419 (2004)CrossRefADSGoogle Scholar
  30. 30.
    Chaboussant, G., et al.: Eur. Phys. J. B 6, 167 (1998)CrossRefADSGoogle Scholar
  31. 31.
    Dmitriev, D.V., Krivnov, V.Ya., Ovchinnikov, A.A.: Phys. Rev. B 172409, 65 (2002)Google Scholar
  32. 32.
    Chitra, R., Giamarchi, T.: Phys. Rev. B 55, 5816 (1997)CrossRefADSGoogle Scholar
  33. 33.
    Wang, X., Yu, l.: Phys. Rev. Lett. 84, 5399 (2000)CrossRefADSGoogle Scholar
  34. 34.
    Gu, Q., Yu, D., Shen, J.: Phys. Rev. B 60, 3009 (1999)CrossRefADSGoogle Scholar

Copyright information

© Springer Science+Business Media New York 2014

Authors and Affiliations

  • Fatemeh Amiri
    • 1
  • Saeed Mahdavifar
    • 1
  • Hanif Hadipour
    • 1
  1. 1.Department of PhysicsUniversity of GuilanRashtIran

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