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Quantum phase transition in spin-3/2 systems on the hexagonal lattice - optimum ground state approach

H. Niggemann·A. Klümper·J. Zittartz
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Abstract

Optimum ground states are constructed in two dimensions by using so called vertex state models. These models are graphical generalizations of the well-known matrix product ground states for spin chains. On the hexagonal lattice we obtain a one-parametric set of ground states for a five-dimensional manifold of S=3/2 Hamiltonians. Correlation functions within these ground states are calculated using Monte-Carlo simulations. In contrast to the one-dimensional situation, these states exhibit a parameter-induced second order phase transition. In the disordered phase, two-spin correlations decay exponentially, but in the Neel ordered phase alternating long-range correlations are dominant. We also show that ground state properties can be obtained from the exact solution of a corresponding free-fermion model for most values of the parameter.

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H. Niggemann, A. Klümper, J. Zittartz. 1997-09-12. Quantum phase transition in spin-3/2 systems on the hexagonal lattice - optimum ground state approach. https://doi.org/10.1007/s002570050425

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