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Re-entrant phase transitions of the Blume-Emery-Griffiths model

I. Monte Carlo simulations on the simple cubic lattice

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Zeitschrift für Physik B Condensed Matter

Abstract

We have investigated the spin-1 Ising model on the simple cubic lattice with bilinear, biquadratic interaction and anisotropic energy (BEG model). We have been specially interested in the case of antiferro biquadratic interaction, because the interaction will cause the competition with bilinear interaction and anisotropy. A two-sublattice ordering, so called the staggered quadrupole (SQ) phase, occurs as long as biquadratic interaction is negative large enough. We have obtained a full phase diagram in the whole interaction parameter space (for the positive bilinear interaction) by the Bethe approximation, and found several kinds of phase transitions, such as successive, re-entrant and double re-entrant transitions. These transitions are also confirmed by Monte Carlo simulations on simple cubic lattices.

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References

  1. Blume, M., Emery, V.J., Griffiths, R.B.: Phys. Rev. A4, 1071 (1971)

    Google Scholar 

  2. Chen, H.H., Levy, P.H.: Phys. Rev. B7, 4267 (1973)

    Google Scholar 

  3. Lushnikov, A.A.: Phys. Lett. A40, 303 (1972)

    Google Scholar 

  4. Blume, M.: Phys. Rev.141, 517 (1966)

    Google Scholar 

  5. Capel, H.W.: Physica32, 966 (1966)

    Google Scholar 

  6. Wang, Y.L., Wentworth, C.: J. Appl. Phys.61, 4411 (1987)

    Google Scholar 

  7. Ono, I.: J. Phys. (Paris) C8, 1541 (1988)

    Google Scholar 

  8. Kaneyoshi, T.: J. Phys. Soc. Jpn.56, 4199 (1987)

    Google Scholar 

  9. Tanaka, M., Kawabe, T.: J. Phys. Soc. Jpn.54, 2194 (1985)

    Google Scholar 

  10. Oguchi, T., Ono, I.: J. Phys. Soc. Jpn.21, 2178 (1966)

    Google Scholar 

  11. Morita, T.: Physica A98, 566 (1979)

    Google Scholar 

  12. Lawrie, I.D., Sarbach, S.: In: Phase transition and critical phenomena. Domb, C., Lebowitz, J.L. (eds.), Vol. 9. Berlin, Heidelberg, New York: Springer 1983

    Google Scholar 

  13. de Alcantara Bonfim, O.F., Obcemea, C.H.: Z. Phys. B —Condensed Matter64, 469 (1986)

    Google Scholar 

  14. Landau, D.P.: Phys. Rev. B13, 2997 (1975)

    Google Scholar 

  15. Binder, K.: Z. Phys. B — Condensed Matter43, 119 (1981)

    Google Scholar 

  16. Lushnikov, A.A.: Sov. Phys. JETP29, 120 (1969)

    Google Scholar 

Download references

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Authors and Affiliations

  1. Department of Physics, Tokyo Institute of Technology, Oh-Okayama, Meguro-ku, Tokyo 152, Japan

    Katsumi Kasono & Ikuo Ono

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  1. Katsumi Kasono
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  2. Ikuo Ono
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Kasono, K., Ono, I. Re-entrant phase transitions of the Blume-Emery-Griffiths model. Z. Physik B - Condensed Matter 88, 205–212 (1992). https://doi.org/10.1007/BF01323573

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  • DOI: https://doi.org/10.1007/BF01323573

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