J Eduardo Suger
Articles written in Pramana – Journal of Physics
Volume 3 Issue 3 September 1974 pp 133-142 Solids
Phase transition in a class of Hamiltonians
G Ananthakrishna J Eduardo Suger
We consider a class of Hamiltonians for a system of one localized spin-1/2 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.
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