Quantum phase transition in square- and triangular-lattice spin-½ antiferromagnets
Author(s) -
Chen Zeng,
I. Staples,
R. F. Bishop
Publication year - 1996
Publication title -
physical review. b, condensed matter
Language(s) - English
Resource type - Journals
eISSN - 1095-3795
pISSN - 0163-1829
DOI - 10.1103/physrevb.53.9168
Subject(s) - hexagonal lattice , physics , condensed matter physics , square lattice , quantum phase transition , quantum monte carlo , ground state , critical exponent , phase transition , lattice (music) , square (algebra) , spin (aerodynamics) , anisotropy , gravitational singularity , cluster (spacecraft) , monte carlo method , quantum , quantum mechanics , ising model , antiferromagnetism , mathematics , statistics , geometry , acoustics , thermodynamics , computer science , programming language
We use the coupled-cluster method to study ground-state properties of anisotropic S=1/2 antiferromagnets on square and triangular lattices, with the inclusion of arbitrarily long-ranged two-spin correlations. We detect the singularities of various quantities associated with the quantum phase transitions and also compute their critical exponents. The two-spin correlation coefficients for the triangular lattice are found to exhibit an interesting oscillatory behavior in their signs, knowledge of which could assist the implementation of quantum Monte Carlo simulations.
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