Hexagonal RMnO${}_3$: a model system for 2D triangular lattice antiferromagnets

Abstract

The hexagonal RMnO${}_3$ (h-RMnO${}_3$) are multiferroic materials, which exhibit the coexistence of a magnetic order and ferroelectricity. Their distinction is in their geometry that both results in an unusual mechanism to break inversion symmetry, and also produces a 2D triangular lattice of Mn spins, which is subject to geometrical magnetic frustration due to the antiferromagnetic interactions between nearest neighbour Mn ions. This unique combination makes the h-RMnO${}_3$ a model system to test ideas of spin-lattice coupling, particularly when the both the improper ferroelectricity and the Mn trimerisation that appears to determine the symmetry of the magnetic structure arise from the same structure distortion. In this review, we demonstrate how the use of both neutron and X-ray diffraction and inelastic neutron scattering techniques have been essential to paint this comprehensive and coherent picture of the h-RMnO${}_3$.

46 pages, 14 figures, submitted to Acta Crystallographica B as a feature article

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Cited by in corpus (15)

• Spontaneous decays of magneto-elastic excitations in noncollinear antiferromagnet (Y,Lu)MnO3
• Field-tunable toroidal moment and anomalous Hall effect in noncollinear antiferromagnetic Weyl semimetal Co1/3TaS2
• Magnetic ground state and magnon-phonon interaction in multiferroic h-YMnO${}_3$
• Evidence for magnon-phonon coupling in the topological magnet Cu${}_3$TeO${}_6$
• Magnetic excitations in bulk multiferroic two-dimensional triangular lattice antiferromagnet (Lu,Sc)FeO${}_3$
• Magnetization, specific heat, and thermal conductivity of hexagonal ErMnO${}_3$ single crystals
• Hybridization and Decay of Magnetic Excitations in two-dimensional Triangular Lattice Antiferromagnets
• Classical spin liquid or extended critical range in h-YMnO${}_3$?
• Spin texture induced by non-magnetic doping and spin dynamics in 2D triangular lattice antiferromagnet h-Y(Mn,Al)O3
• Renormalization of spin excitations in hexagonal HoMnO3 by magnon-phonon coupling
• Studies on the high-temperature ferroelectric transition of multiferroic hexagonal manganite RMnO3
• Interplay between spin dynamics and crystal field in multiferroic compound HoMnO${}_3$
• Single-crystal neutron diffraction study of hexagonal YbMnO${}_3$ multiferroic under magnetic field
• Effect of the depolarizing field on the domain structure of an improper ferroelectric
• Unusual nanoscale coexistence of polar-nonpolar domains underlying oxygen storage properties in Ho(Mn, Ti)O${}_{3+\delta }$