We study a set of exactly soluble net spin models. There exist two kinds of ground state, one is a complete dimerized state, and the other one is the ground state of corresponding spin-1 model. For the excitation gap, various phases were discovered and determined.
We study a set of exactly soluble spin models in one and two dimensions for any spin S. Its ground state, the excitation spectrum, quantum phase transition points, as well as dimensional crossover are determined.
We study a set of exactly soluble spin models in one and two dimensions for any spin S. Its ground state, the excitation spectrum, quantum phase transition points, as well as dimensional crossover are determined.
We study a set of exactly soluble spin models in one and two dimensions for any spin S. Its ground state, the excitation spectrum, quantum phase transition points, as well as dimensional crossover are determined.
We present a new class of exactly solvable spin models. The solutions involve broken translational symmetry, in contrast to the Haldane gap, and constitute a new type of ground state for a spin-one chain. The models have ground states with precipitously short-range spin correlations and exhibit gaps to solitonic spin excitations. We construct a solvable model for each value of the total spin of the underlying atoms, with the solution corresponding to the natural generalization to the Majumdar-Ghosh state, of 'dimer' pairing, to larger spin magnitudes.