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    • Keywords


      Phase transition; Yang-Lee theorem; partition function; Heisenberg Hamiltonian; critical temperature

    • Abstract


      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.

    • Author Affiliations


      G Ananthakrishna1 2 J Eduardo Suger1 3

      1. Molecular Physics Group, The University of Texas at Austin, Austin, Texas - 78712, USA
      2. Department of Physics, Indian Institute of Science, Bangalore - 560012
      3. The Universidad de San Carlos de Guatemala, Central America, USA
    • Dates

  • Pramana – Journal of Physics | News

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      Posted on July 25, 2019

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