Ordering and domains in tetragonal crystals of Ising spins coupled via dipolar interactions

Regular Article


Dipolar coupling in the body-centered tetragonal crystal of Ising spins that is a prototype of the Mn12Ac molecular magnet favors ferromagnetic ordering below the mean-field Curie temperature 0.71 K. With the help of Monte Carlo on crystals of up to one million Mn12 molecules, it is shown that ordering occurs at 0.36 K in elongated crystals. The resulting state is split into ferromagnetic domains with domain walls preferring the diagonal orientation. Domain walls are pinned by the lattice at low temperatures. Making the crystal shorter makes domains finer and smoothens out the singularity at the ordering transition, decreasing the susceptibility in the domain state.


Solid State and Materials 


  1. 1.
    J.M. Luttinger, L. Tisza, Phys. Rev. 70, 954 (1946)ADSCrossRefGoogle Scholar
  2. 2.
    C. Kittel, Rev. Mod. Phys. 21, 541 (1949)ADSCrossRefGoogle Scholar
  3. 3.
    C. Kittel, Phys. Rev. 82, 965 (1951)ADSCrossRefGoogle Scholar
  4. 4.
    R.B. Griffiths, Phys. Rev. 176, 655 (1968)ADSCrossRefGoogle Scholar
  5. 5.
    L.M. Holmes, J. Als-Nielsen, H.J. Guggenheim, Phys. Rev. B 12, 180 (1975)ADSCrossRefGoogle Scholar
  6. 6.
    J. Als-Nielsen, L.M. Holmes, F.K. Larsen, H.J. Guggenheim, Phys. Rev. B 12, 191 (1975)ADSCrossRefGoogle Scholar
  7. 7.
    J.A. Griffin, M. Huster, R.J. Folweiler, Phys. Rev. B 22, 4370 (1980)ADSCrossRefGoogle Scholar
  8. 8.
    J.P. Bouchaud, P.G. Zérah, Phys. Rev. B 47, 9095 (1993)ADSCrossRefGoogle Scholar
  9. 9.
    S. Romano, Phys. Rev. B 49, 12287 (1994)ADSCrossRefGoogle Scholar
  10. 10.
    P.B. Chakraborty, P. Henelius, H. Kjønsberg, A.W. Sandvik, S.M. Girvin, Phys. Rev. B 70, 144411 (2004)ADSCrossRefGoogle Scholar
  11. 11.
    U. Nowak, A. Hucht, J. Appl. Phys. 76, 6341 (1994)ADSCrossRefGoogle Scholar
  12. 12.
    T. Lis, Acta Crystallogr. B 36, 2042 (1980)CrossRefGoogle Scholar
  13. 13.
    J.R. Friedman, M.P. Sarachik, J. Tejada, R. Ziolo, Phys. Rev. Lett. 76, 3830 (1996)ADSCrossRefGoogle Scholar
  14. 14.
    R. Sessoli, D. Gatteschi, Angew. Chem. Int. Ed. 42, 268 (2003)CrossRefGoogle Scholar
  15. 15.
    F. Luis, in Molecular Magnets, edited by J. Bartolomé, F. Luis, J.F. Fernández (Springer, 2014)Google Scholar
  16. 16.
    D.A. Garanin, E.M. Chudnovsky, Phys. Rev. B 78, 174425 (2008)ADSCrossRefGoogle Scholar
  17. 17.
    . S. McHugh, R. Jaafar, M.P. Sarachik, Y. Myasoedov, H. Shtrikman, E. Zeldov, R. Bagai, G. Christou, Phys. Rev. B 79, 052404 (2009)ADSCrossRefGoogle Scholar
  18. 18.
    Y. Suzuki, M.P. Sarachik, E.M. Chudnovsky, S. McHugh, R. Gonzalez-Rubio, N. Avraham, Y. Myasoedov, E. Zeldov, H. Shtrikman, N.E. Chakov, G. Christou, Phys. Rev. Lett. 95, 147201 (2005)ADSCrossRefGoogle Scholar
  19. 19.
    D.A. Garanin, E.M. Chudnovsky, Phys. Rev. B 76, 054410 (2007)ADSCrossRefGoogle Scholar
  20. 20.
    . D.A. Garanin, Phys. Rev. B 88, 064413 (2013)ADSCrossRefGoogle Scholar
  21. 21.
    . J.F. Fernández, J.J. Alonso, Phys. Rev. B 62, 53 (2000)ADSCrossRefGoogle Scholar
  22. 22.
    X.M. Hidalgo, E.M. Chudnovsky, A. Aharony, Europhys. Lett. 55, 273 (2001)ADSCrossRefGoogle Scholar
  23. 23.
    F. Luis, J. Campo, J. Gómez, G.J. McIntyre, J. Luzón, D. Ruiz-Molina, Phys. Rev. Lett. 95, 227202 (2005)ADSCrossRefGoogle Scholar
  24. 24.
    M. Evangelisti, A. Candini, A. Ghirri, M. Affronte, G.W. Powell, I.A. Gass, P.A. Wood, S. Parsons, E.K. Brechin, D. Collison, S.L. Heath, Phys. Rev. Lett. 97, 167202 (2006)ADSCrossRefGoogle Scholar
  25. 25.
    A. Morello, F.L. Mettes, O.N. Bakharev, H.B. Brom, L.J. de Jongh, F. Luis, J.F. Fernández, G. Aromí, Phys. Rev. B 73, 134406 (2006)ADSCrossRefGoogle Scholar
  26. 26.
    A.J. Millis, A.D. Kent, M.P. Sarachik, Y. Yeshurun, Phys. Rev. B 81, 024423 (2010)ADSCrossRefGoogle Scholar
  27. 27.
    B. Wen, P. Subedi, L. Bo, Y. Yeshurun, M.P. Sarachik, A.D. Kent, A.J. Millis, C. Lampropoulos, G. Christou, Phys. Rev. B 82, 014406 (2010)ADSCrossRefGoogle Scholar
  28. 28.
    S. Li, L. Bo, B. Wen, M.P. Sarachik, P. Subedi, A.D. Kent, Y. Yeshurun, A.J. Millis, C. Lampropoulos, S. Mukherjee, G. Christou, Phys. Rev. B 82, 174405 (2010)ADSCrossRefGoogle Scholar
  29. 29.
    D.A. Garanin, Phys. Rev. B 81, 220408 (2010)ADSCrossRefGoogle Scholar
  30. 30.
    E. Burzurí, F. Luis, B. Barbara, R. Ballou, E. Ressouche, O. Montero, J. Campo, S. Maegawa, Phys. Rev. Lett. 107, 097203 (2011)ADSCrossRefGoogle Scholar
  31. 31.
    J.F. Fernández, Phys. Rev. B 66, 064423 (2002)ADSCrossRefGoogle Scholar

Copyright information

© EDP Sciences, SIF, Springer-Verlag GmbH Germany 2017

Authors and Affiliations

  1. 1.Physics Department, Lehman College and Graduate School, The City University of New YorkNew YorkUSA

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