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Hard hexagons: exact solution

R J Baxter

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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.


PACS

05.50.+q Lattice theory and statistics (Ising, Potts, etc.)

64.60.F- Equilibrium properties near critical points, critical exponents

MSC

82B23 Exactly solvable models; Bethe ansatz

82B27 Critical phenomena

82B26 Phase transitions (general)

82B20 Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs

Subjects

Condensed matter: structural, mechanical & thermal

Statistical physics and nonlinear systems

Dates

Issue 3 (1 March 1980)



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