Frustrated ground states of a generalized XY model and their mapping to non-magnetic structural analogues

Abstract

Ground state phases of a generalized XY model with magnetic and generalized nematic couplings on a non-bipartite triangular lattice are investigated in the exchange interactions parameter space. We demonstrate that the model displays a number of ordered and quasi-ordered phases as a result of geometrical frustration and/or competition between the magnetic and generalized nematic interactions. The nature and the extent of the respective phases depend on the parameter $q$, characterizing the higher-order harmonics term in the Hamiltonian. Motivated by the recent discovery of the experimental realization of the model with $q=2$ in the seemingly unrelated field of the systems chemistry [A.B. Cairns et al., Nature Chemistry 8, 442 (2016)], the model for $q>2$ is discussed in the context of the prediction of structural phases of a class of bimetalic cyanides based on a mapping between the two systems.

arXiv comment19 pages, 7 figures

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Cited by in corpus (10)

• Competing nematic interactions in a generalized XY model in two and three dimensions
• Magnetic quasi-long-range ordering in nematics due to competition between higher-order couplings
• $XY$ model with antinematic interaction
• New ordered phase in geometrically frustrated generalized $XY$ model
• Phase diagrams of antiferromagnetic $XY$ model on a triangular lattice with higher-order interactions
• Multiple phase transitions in the $XY$ model with nematic-like couplings
• Ordering kinetics and steady states of XY-model with ferromagnetic and nematic interaction
• Phase Diagram of a Generalized XY Model with Geometrical Frustration
• XY model with competing higher-order interactions
• Generalized $XY$ model with competing antiferromagnetic and antinematic interactions