%0 Journal Article %1 Baxter1980Hard %A Baxter, R. J. %D 1980 %J Journal of Physics A: Mathematical and General %K potts-model critical-phenomena lattice-models %N 3 %P L61+ %R 10.1088/0305-4470/13/3/007 %T Hard hexagons: exact solution %U http://dx.doi.org/10.1088/0305-4470/13/3/007 %V 13 %X 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.

@article{Baxter1980Hard, abstract = {{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.}}, added-at = {2019-06-10T14:53:09.000+0200}, author = {Baxter, R. J.}, biburl = {https://www.bibsonomy.org/bibtex/2dd1a9b009527fae4f075ba8f41e9cab8/nonancourt}, citeulike-article-id = {9041642}, citeulike-linkout-0 = {http://dx.doi.org/10.1088/0305-4470/13/3/007}, citeulike-linkout-1 = {http://iopscience.iop.org/0305-4470/13/3/007}, day = 01, doi = {10.1088/0305-4470/13/3/007}, interhash = {5786f811fc714cf14696cb05b856b36e}, intrahash = {dd1a9b009527fae4f075ba8f41e9cab8}, issn = {0305-4470}, journal = {Journal of Physics A: Mathematical and General}, keywords = {potts-model critical-phenomena lattice-models}, month = mar, number = 3, pages = {L61+}, posted-at = {2011-03-22 17:12:21}, priority = {2}, timestamp = {2019-08-01T15:36:09.000+0200}, title = {{Hard hexagons: exact solution}}, url = {http://dx.doi.org/10.1088/0305-4470/13/3/007}, volume = 13, year = 1980 }