Ananthakrishna, G. ; Eduardo Suger, J. (1974) Phase transition in a class of Hamiltonians Pramana - Journal of Physics, 3 (3). pp. 133-142. ISSN 0304-4289
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Official URL: http://www.ias.ac.in/j_archive/pramana/3/3/133-142...
Related URL: http://dx.doi.org/10.1007/BF02875067
Abstract
We consider a class of Hamiltonians for a system of one localized spin−½ particle per lattice site with the total spin as a good quantum number. We introduce a set of conditions in the form of a hypothesis relating the subpartition function, which is the partition function defined by the subset of energies with a specific value of spin. If the equality in the hypothesis is satisfied, then the system undergoes a phase transition as a consequence of Yang-Lee theorem. As an application, we estimate the bounds on the spectrum of the Heisenberg Hamiltonian.
Item Type: | Article |
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Source: | Copyright of this article belongs to Indian Academy of Sciences. |
Keywords: | Phase Transition; Yang-lee Theorem; Partition Function; Heisenberg Hamiltonian; Critical Temperature |
ID Code: | 72041 |
Deposited On: | 28 Nov 2011 05:09 |
Last Modified: | 18 May 2016 17:28 |
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