Quantum spin-3/2 models on the Cayley tree -optimum ground state approach *
Institut für Theoretische Physik Universität zu Köln, Zülpicher Strasse 77, 50937
Corresponding author: a email@example.com
Published online: 15 August 1999
We present a class of optimum ground states for quantum spin-3/2 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.
PACS: 75.10.Jm – Quantized spin models
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 1999