Abstract
The hexagonal antiferromagnet, convenient for describing magnetic compounds of the type , where B is a magnetic ion and X a halogen, is characterized by having an in-plane exchange interaction much stronger than the out-of-plane exchange interaction . The interest in the class of compounds arises because they are expected to manifest some features peculiar to the triangular antiferromagnets. In particular, we intend to investigate the existence of possible planar phases supported by quantum fluctuations when an external magnetic field is applied perpendicular to the c axis. We find that a planar phase is stable for sufficiently small interplane coupling and small single-ion easy-axis anisotropy, whereas an umbrella phase would be expected on the basis of the classical approximation.
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