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The ground state and its entropy for a class of one-dimensional classical lattice systems |
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| Institution: | 1. Department of Chemistry, University of Kalyani, Kalyani, Nadia, West Bengal 741235, India;2. Kolkata Zonal Center, CSIR-National Environmental Engineering Research Institute (NEERI), Kolkata, West Bengal 700107, India;3. Department of Environmental Health Sciences, School of Public Health, University of Michigan, 109 Observatory Street, Ann Arbor, MI 48109-2029, USA |
| Abstract: | We calculate explicitly the zero-temperature limit of the finite temperature equilibrium state and its entropy for a class of one-dimensional Ising models with an interaction of range n. For that purpose we extend the usual transfer matrix method to ground states. The interaction consists of a ferromagnetic nearest neighbour term and a competing antiferromagnetic interaction with the nth neighbour. |
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