New Critical Behavior I-Heisenberg Antiferromagnet on the Layered-Triangular Lattice
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Phase transition of frustrated Heisenberg antiferromagnet on the three-dimensional layered-triangular lattice is studied via a symmetry argument and Monte Carlosimulations. A symmetry argument shows that the order-parameter space of thismodel is isomorphic to the three-dimensional rotation group SO(3) or the projectivespace P., different from those of the corresponding nonfrustrated systems. Thepossibility is suggested that the system exhibits a novel type of phase transitioncharacterized by its SO(3) symmetry. Extensive Monte Carlo simulations indicate theoccurrence of a single continuous transition. By applying the finite-size scaling, respec-tive exponents are estimated as cx:0.4, /?:0.25, 7:1.1 and v:0.53. These valuesdiffer considerably from those for the standard nonfrustrated systems strongly suggesting a phase transition belonging to a new universality class. Several systems, in-cluding the superfluid A phase of helium 3, certain types of helical or canted magnets,are predicted to belong to the same universality class. Possible consequences for experiments are discussed.
- 社団法人日本物理学会の論文
- 1987-02-15
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