Hard hexagons: exact solution

@article{Baxter1980HardHE,
  title={Hard hexagons: exact solution},
  author={Rodney J. Baxter},
  journal={Journal of Physics A},
  year={1980},
  volume={13}
}
  • R. Baxter
  • Published 1 March 1980
  • Mathematics
  • Journal of Physics A
The hard-hexagon model in lattice statistics (i.e. the triangular lattice gas with nearest-neighbour exclusion) has been solved exactly. It has a critical point when the activity z has the value 1/2(11+5 square root 5)=11.09017..., with exponents alpha =1/3, beta =1/9. More generally, a restricted class of square-lattice models with nearest-neighbour exclusion and non-zero diagonal interactions can be solved. 

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  • R. Baxter
  • Physics
    Philosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences
  • 1978
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