On Long Range Chiral Order of the s=1/2 XY and Heisenberg Antiferromagnets on the Triangular Lattice
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概要
- 論文の詳細を見る
A long range chiral order parameter, x, is defined for s = 1/2 antiferromagnets on the triangular lattice. The expectation value of the square of this parameter, <x^2>, is calculated for the XY and Heisenberg models on finite lattices of N=3, 9, 12 and 21 sites. By extrapolating the finite N data to the infinite lattice we conclude that the XY antiferromagnet has long range chiral order, while the Heisenberg antiferromagnet does not have it.
- 理論物理学刊行会の論文
- 1987-01-20
著者
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Betts D
Dalhousie Univ. Ns Can
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Fujiki S
Tohoku Univ. Sendai
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Fujiki Sumiyoshi
Department Of Applied Physics Tohoku University
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BETTS Donald
Department of Physics, Dalhousie University
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Betts Donald
Department Of Physics Dalhousie University
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FUJIKI Sumiyoshi
Department of Applied Physics, Tohoku University
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- High Temperature Series Expansion of the Fluctuation of the Vector Chirality for the Spin-1/2 XY Antiferromagnet on the Triangular Lattice
- Extension of the Method of Exact Diagonalization of Quantum Spin Models to Finite Face Centred Cubic Lattices and Estimation of the T=0 Properties of the S=1/2 XY Ferromagnet on the Infinite fcc Lattice
- XY-Nature of the Fully Frustrated Ising Model on the Triangular Lattice
- Possibility of the Kosterlitz-Thouless Phase Transition in the Two Dimensional Fully Frustrated Ising Model
- Monte Carlo Simulation of the Antiferromagnetic Ising Model on the Triangular Lattice with the First and Second Neighbour Interactions