Abstract:
We present a class of optimum ground states for quantum spin-\({3 \over 2}\) models on the Cayley tree with coordination number 3. The interaction is restricted to nearest neighbours and contains 5 continuous parameters. For all values of these parameters the Hamiltonian has parity invariance, spin-flip invariance, and rotational symmetry in the xy-plane of spin space. The global ground states are constructed in terms of a 1-parametric vertex state model, which is a direct generalization of the well-known matrix product ground state approach. By using recursion relations and the transfer matrix technique we derive exact analytical expressions for local fluctuations and longitudinal and transversal two-point correlation functions.
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Received 1 March 1999
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Niggemann, H., Zittartz, J. Quantum spin-\({3 \over 2}\) models on the Cayley tree - optimum ground state approach. Eur. Phys. J. B 10, 731–738 (1999). https://doi.org/10.1007/s100510050904
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DOI: https://doi.org/10.1007/s100510050904