Abstract
The antiferromagnetic Ising model in a uniform field on a square lattice is studied by a position-space renormalisation group approach. A self-dual cluster that preserves sublattice symmetry is employed: at each site of the cluster, the coupling to the field is chosen to be proportional to the coordination number of that site. The author obtains the physically correct result that the magnetic field is irrelevant (in the renormalisation group sense) near the zero-field fixed point. The phase diagram he obtains compares well with experimental results for CoCs3Br5 and with the conjectured analytic form postulated by Muller-Hartmann and Zittartz. He discusses possible applications of this approach to other situations of interest.
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