Instability under dilution of an antiferromagnetic Ising model on an fcc lattice: A Monte Carlo study

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Abstract
We study an Ising antiferromagnet with nearest-neighbor interactions only on an fcc (frustrated) lattice with no external field. We show that if a fraction (1-x) of the lattice sites is randomly unoccupied by spins then the system becomes unstable against the formation of domains. The mechanism producing the instability works somewhat like the one which destroys ferromagnetism in the random-field Ising model. Monte Carlo results are obtained for low temperatures as a function of x for fcc lattices of (12×12×12)×4 sites. A transition from an antiferromagnetic state at x=1 to a disordered state for a small amount of dilution is clearly observed.

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