Abstract
We study the effects of frustration in an antiferromagnetic film
of FCC lattice with Heisenberg spin model including an Ising-like
anisotropy. Monte Carlo (MC) simulations have been used to study
thermodynamic properties of the film. We show that the presence
of the surface reduces the ground state (GS) degeneracy found in
the bulk. The GS is shown to depend on the surface in-plane
interaction $J_s$ with a critical value at which ordering of type
I coexists with ordering of type II. Near this value a reentrant
phase is found. Various physical quantities such as layer
magnetizations and layer susceptibilities are shown and discussed.
The nature of the phase transition is also studied by histogram
technique. We have also used the Green's function (GF) method for
the quantum counterpart model. The results at low-$T$ show
interesting effects of quantum fluctuations. Results obtained by
the GF method at high $T$ are compared to those of MC simulations.
A good agreement is observed.
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