M Schick and R B Griffiths 1977 J. Phys. A: Math. Gen. 10 2123 doi:10.1088/0305-4470/10/12/020
M Schick and R B Griffiths
Show affiliationsThe three-state Potts model on a triangular lattice with nearest neighbour interaction K is studied. Using a simple position-space renormalisation group transformation it is found that, in addition to the usual continuous transition to the ferromagnetic state which occurs for positive K, a continuous transition to an antiferromagnetic state occurs for negative K. The transformation introduces a three-spin interaction. In the space of these two interactions, the lines of ferromagnetic and antiferromagnetic transitions meet at a bicritical point. These results differ from those predicted by Landau theory.
75.10.Hk Classical spin models
75.30.Kz Magnetic phase boundaries (including magnetic transitions, metamagnetism, etc.)
82B28 Renormalization group methods (See also 81T17)
82B20 Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs
Issue 12 (December 1977)
M Schick and R B Griffiths 1977 J. Phys. A: Math. Gen. 10 2123
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