Journal of Statistical Physics

, Volume 61, Issue 1–2, pp 121–141 | Cite as

Superdegenerate point in FCC phase diagram: CVM and Monte Carlo investigations

  • R. Tétot
  • A. Finel
  • F. Ducastelle
Articles

Abstract

We investigate the topology of the phase diagram of binary alloys on the fee lattice with first-neighbor antiferromagnetic interactions around the superdegenerate point, where the L10 and L12 phases meet. We treat the system as a “hard-constraint lattice gas,” following a procedure previously described by Lebowitzet al. We perform cluster variation method calculations in theT→0 limit and Monte Carlo simulations directly atT=0 K on the ground states of the superdegenerate point. We find that: (i) there is no disordered phase in the neighborhood of this point; (ii) a phase L′ for which two of the four cubic sublattices have the same average occupancy and each of the two others are different appears between L10 and L12; (iii) the transition L′/L12 is of first order.

Key words

Ising model superdegenerate ground states cluster variation method Monte Carlo simulations constrained lattice gas 

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Copyright information

© Plenum Publishing Corporation 1990

Authors and Affiliations

  • R. Tétot
    • 1
  • A. Finel
    • 1
  • F. Ducastelle
    • 1
  1. 1.ONERAChatillon CedexFrance

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