Spin-3/2 models on the Cayley tree -- optimum ground state approach

Details Spin-3/2 models on the Cayley tree -- optimum ground state approach Spin-3/2 models on the Cayley tree -- optimum ground state approach

1998-10-13

arxiv.org/abs/cond-mat/9810147v1

Physics

Condensed Matter

Statistical Mechanics

LaTeX 2e, 8 embedded eps figures, 14 pages

Scientific paper

10.1007/s100510050904

We present a class of optimum ground states for 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.

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