Lattice gas description of pyrochlore and checkerboard antiferromagnets in a strong magnetic field

Details Lattice gas description of pyrochlore and checkerboard antiferromagnets in a strong magnetic field Lattice gas description of pyrochlore and checkerboard antiferromagnets in a strong magnetic field

2006-12-12

arxiv.org/abs/cond-mat/0612283v2

Phys. Rev. B 75, 224416 (2007)

Physics

Condensed Matter

Strongly Correlated Electrons

11 pages, accepted version

Scientific paper

10.1103/PhysRevB.75.224416

Quantum Heisenberg antiferromagnets on pyrochlore and checkerboard lattices in a strong external magnetic field are mapped onto hard-core lattice gases with an extended exclusion region. The effective models are studied by the exchange Monte Carlo simulations and by the transfer matrix method. The transition point and the critical exponents are obtained numerically for a square-lattice gas of particles with the second-neighbor exclusion, which describes a checkerboard antiferromagnet. The exact structure of the magnon crystal state is determined for a pyrochlore antiferromagnet.

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