Nematic and chiral orders for planar spins on triangular lattice

Abstract

We propose a variant of the antiferromagnetic XY model on the triangular lattice to study the interplay between the chiral and nematic orders in addition to the magnetic order. The model has a significant bi-quadratic interaction of the planar spins. When the bi-quadratic exchange energy dominates, a large temperature window is shown to exist over which the nematic and the chiral orders co-exist without the magnetic order, thus defining a chiral-nematic state. The phase diagram of the model and some of its critical properties are derived by means of the Monte Carlo simulation.

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References in corpus (4)

• Spin current and magneto-electric effect in non-collinear magnets
• Spin-polarization coupling in multiferroic transition-metal oxides
• Chiral spin pairing in helical magnets
• Phase diagram of generalized fully frustrated XY model in two dimensions