Renormalisation-group specific heat of the square-lattice Potts ferromagnet

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Abstract
The free and internal energies and specific heat of the q-state Potts ferromagnet are discussed. A real-space renormalisation-group approach is presented, which reproduces a considerable amount of exact particular results for all dimensionalities (hypercubic lattices). The case of the square lattice is investigated in detail using self-dual clusters (which provide the exact critical point for all q). Comparison with Onsager results (q=2) is satisfactory; the general tendencies for q not=2 (1<or=q<or=4) are exhibited, and the bound percolation limit (q to 1) is worked out in some detail.

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