On Long Range Chiral Order of the s=1/2 XY and Heisenberg Antiferromagnets on the Triangular Lattice

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概要

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• 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

• Betts D

  Dalhousie Univ. Ns Can

• Fujiki S

  Tohoku Univ. Sendai

• Fujiki Sumiyoshi

  Department Of Applied Physics Tohoku University

• BETTS Donald

  Department of Physics, Dalhousie University

• Betts Donald

  Department Of Physics Dalhousie University

• FUJIKI Sumiyoshi

  Department of Applied Physics, Tohoku University

関連論文

• Application of the Cluster Variation Method to the Ferromagnetic Six-State Clock Model on the Triangular Lattice and Its CAM Analysis
• Nonlinear Susceptibility in the Spin Glass
• Study of Coherent Anomalies and Critical Exponents Based on High-Level Cluster-Variation Approximations
• On Long Range Chiral Order of the s=1/2 XY and Heisenberg Antiferromagnets on the Triangular Lattice
• 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

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