Abstract
An Ising model on the hcp lattice with ferromagnetic interactions D between nearest-neighbor sites in adjacent layers and antiferromagnetic interactions J between nearest-neighbor sites in the same layer is investigated near its multiphase point T/D=0, -J/D=(1/2) using mean-field theory and low-temperature expansions. A sequence of modulated phases is found to be stable in the vicinity of the multiphase point. The phase boundary between the ferromagnetic phase and the modulated phases is calculated using a low-temperature expansion and is found to differ from the line onto which Domany mapped a kinetic Ising model on the honeycomb lattice.
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