Eur. Phys. J. B 10, 731-738 (1999)
https://doi.org/10.1007/s100510050904

Quantum spin-3/2 models on the Cayley tree -optimum ground state approach ^*

Institut für Theoretische Physik Universität zu Köln, Zülpicher Strasse 77, 50937 Köln, Germany

Corresponding author: ^a hn@thp.uni-koeln.de

Received: 1 March 1999
Published online: 15 August 1999

Abstract

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.