O J Heilmann 1980 J. Phys. A: Math. Gen. 13 1803 doi:10.1088/0305-4470/13/5/039
O J Heilmann
Show affiliationsIt is proven by Peierls' argument in connection with reflection positivity that the lattice gas on the FCC lattice with nearest-neighbour repulsion (with interaction energy a) exists in an ordered state at low enough temperature provided the chemical potential, mu , satisfies 0< mu <4a, 4a< mu <8a or 8a< mu <12a. This result immediately carries over to the antiferromagnetic Ising model and the lattice gas with nearest-neighbour exclusion on the FCC lattice, both of which will also exist in an ordered state under suitable circumstances. In particular, the existence of a phase transition at zero magnetic field is confirmed.
05.50.+q Lattice theory and statistics (Ising, Potts, etc.)
82B26 Phase transitions (general)
82B20 Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs
Condensed matter: electrical, magnetic and optical
Issue 5 (1 May 1980)
O J Heilmann 1980 J. Phys. A: Math. Gen. 13 1803
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