Optimum ground states for spin-3/2 ladders with two legs

Physics – Condensed Matter – Statistical Mechanics

Scientific paper

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LaTeX 2e, 3 embedded eps figures, 11 pages, minor modifications

Scientific paper

10.1088/0305-4470/31/49/006

We construct the exact ground state for an antiferromagnetic spin-3/2 model on the two-leg ladder as an optimum ground state. The ground state contains a discrete parameter "sigma"=+/-1 and a continuous parameter "a" which controls z-axis anisotropy. For most values of "a" the global ground state is unique. It has vanishing sublattice magnetization and exponentially decaying correlation functions. By using the transfer matrix technique, we calculate exactly the fluctuations of the magnetization, the nearest-neighbour correlation, and the longitudinal correlation length as functions of the parameters.

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