On Long Range Chiral Order of the s = 1/2 XY and Heisenberg Antiferromagnets on the Triangular Lattice
- 1 January 1986
- journal article
- Published by Oxford University Press (OUP) in Progress of Theoretical Physics Supplement
- Vol. 87, 268-272
- https://doi.org/10.1143/ptps.87.268
Abstract
A long range chiral order parameter, χ, is defined for s = 1/2 antiferromagnets on the triangular lattice. The expectation value of the square of this parameter, ≪χ2> 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.Keywords
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