90 citations · 272 across the 12 of their papers we have counts for
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Onsager and Kaufman's calculation of the spontaneous magnetization of the Ising model: II
R. J. Baxter
In 2011 I reviewed the calculation by Onsager and Kaufman of the spontaneous magnetization of the square-lattice Ising model, which Onsager announced in 1949 but never published. I…
Onsager and Kaufman's calculation of the spontaneous magnetization of the Ising model
R. J. Baxter
Lars Onsager announced in 1949 that he and Bruria Kaufman had proved a simple formula for the spontaneous magnetization of the square-lattice Ising model, but did not publish their…
Corner transfer matrices in statistical mechanics
R. J. Baxter
Corner transfer matrices are a useful tool in the statistical mechanics of simple two-dimensinal models. They can be very effective way of obtaining series expansions of unsolved m…
Hyperelliptic parametrization of the generalized order parameter of the N=3 chiral Potts model
R. J. Baxter
It has been known for some time that the Boltzmann weights of the chiral Potts model can be parametrized in terms of hyperelliptic functions, but as yet no such parametrization has…
Dichromatic polynomials and Potts models summed over rooted maps
R. J. Baxter
We consider the sum of dichromatic polynomials over non-separable rooted planar maps, an interesting special case of which is the enumeration of such maps. We present some known re…
Planar lattice gases with nearest-neighbour exclusion
R. J. Baxter
We discuss the hard-hexagon and hard-square problems, as well as the corresponding problem on the honeycomb lattice. The case when the activity is unity is of interest to combinato…