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Effective field approach to the Ising film in a transverse field

Author

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  • Peliti, Luca
  • Saber, Mohammed

Abstract

Within the framework of the effective field theory, we examine the phase transitions of the spin-12 Ising film in a transverse field. We study the critical temperature of the film as a function of the exchange interactions, the transverse field and the film thickness. We find that, if the ratio of the surface exchange interactions to the bulk ones R=Js/J is smaller than a critical value Rc, the critical temperature Tc/J of the film is smaller than the bulk critical temperature TcB/J and as R is increased further, Tc/J approaches TcB/J. On the other hand, if R>Rc, Tc/J is larger than the bulk TcB/J and the surface TcS/J critical temperatures of the corresponding semi-infinite system and as R is increased further, Tc/J approaches the surface critical temperature Tcs/J.

Suggested Citation

  • Peliti, Luca & Saber, Mohammed, 1999. "Effective field approach to the Ising film in a transverse field," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 262(3), pages 505-517.
    • Handle: RePEc:eee:phsmap:v:262:y:1999:i:3:p:505-517
    DOI: 10.1016/S0378-4371(98)00421-X
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