New Critical Behavior.II. XY Antiferromagnet on the Layered-Triangular Lattice
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概要
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Phase transition of the antiferromagnetic plane rotator (XY) model on the (d=3)-dimensional layered-triangular lattice is studied by means of Monte Carlo simula-tions. A single continuous transition is observed with the novel critical exponentscv=0.40:0.10, /7=0.25f0.02, 7=l.l0:0.10 and v=0.53f0.03. The chirality isfound to order simultaneously with the spins, the associated chirality exponents being/7.=0.40:0.04 and 7.:o.so+o.os. These exponents satisfy the scaling relationsv.=v and ex-F2p.-I-y.=2, and the associated crossover exponent, cp.=p.Ary.z 1.2,exceeds the susceptibility exponent y. Previous Monte Carlo data for the corre-sponding (n=3) Heisenberg model are also reanalyzed taking account of the spin-wave correction, to yield the revised estimates of exponents cc=0.34f0.l0,/7=0.28f0.02, 7=l.l080.10and v=0.55;0.03. The Monte Carlo results supportthe renormalization-group prediction that the critical behavior of these layered-triangular antiferromagnets is governed by a new type of chiral fixed point.
- 一般社団法人日本物理学会の論文
- 1989-02-15
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