Physics – Condensed Matter – Strongly Correlated Electrons
Scientific paper
1997-02-19
Z.Phys. B104 (1997) 103-110
Physics
Condensed Matter
Strongly Correlated Electrons
16 pages, LaTeX 2e, 5 non-embedded figures. 1 figure caption changed
Scientific paper
10.1007/s002570050425
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.
Klümper Andreas
Niggemann H.
Zittartz Johannes
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