Construction of Integrable Spin Systems with Long-Range Interactions

  • Hikami Kazuhiro
    Department of Physics, Faculty of Science, University of Tokyo
  • Kulish P. P.
    Yukawa Institute for Theoretical Physics, Kyoto University St. Petersburg Branch of Steklov Mathematical Institute
  • Wadati Miki
    Department of Physics, Faculty of Science, University of Tokyo

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  • Construction of Integrable Spin Systems

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Presented is a general method to construct quantum spin Hamiltonians with long-range pairwise interactions. The Hamiltonian is given explicitly in terms of the R-matrices on an inhomogeneous lattice. Applications to spin-1/2 chains, higher spin chains and Zn models are shown.

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