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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Cited by in corpus (24)

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• Ensemble inequivalence in a mean-field XY model with ferromagnetic and nematic couplings
• Magnetic quasi-long-range ordering in nematics due to competition between higher-order couplings
• Frustrated ground states of a generalized XY model and their mapping to non-magnetic structural analogues
• $XY$ model with antinematic interaction
• Novel phase transitions in XY Antiferromagnets on Plane Triangulations
• New ordered phase in geometrically frustrated generalized $XY$ model
• Flux state and anomalous quantum Hall effect in square Kondo lattice
• Phase diagrams of antiferromagnetic $XY$ model on a triangular lattice with higher-order interactions
• Field-induced spin nematic Tomonaga-Luttinger liquid of the $S=1/2$ spin ladder system with the anisotropic ferromagnetic rung interaction
• Quantum spiral spin-tensor magnetism
• High temperature non-collinear magnetism in a classical bilinear-biquadratic Heisenberg model
• Sequence of phase transitions induced in an array of Josephson junctions by their crossover to pi-state
• Magnetic order in nanoscale gyroid networks
• Interplay among helical order, surface effects and range of interacting layers in ultrathin films
• Field-Induced Spin Nematic Liquid of the $S=1/2$ Bond-Alternating Chain with the Anisotropy
• Phase Diagram of a Generalized XY Model with Geometrical Frustration
• Ordering kinetics and steady states of XY-model with ferromagnetic and nematic interaction
• XY model with competing higher-order interactions
• Physical realization of the generalized fully frustrated XY model in an array of SFS junctions
• Generalized $XY$ model with competing antiferromagnetic and antinematic interactions