Spin phonon induced colinear order and magnetization plateaus in triangular and kagome antiferromagnets. Applications to CuFeO_2

Abstract

Coupling between spin and lattice degrees of freedom are important in geometrically frustrated magnets where they can lead to degeneracy lifting and novel orders. We show that moderate spin-lattice couplings in triangular and Kagome antiferromagnets can induce complex colinear magnetic orders. When classical Heisenberg spins on the triangular lattice are coupled to Einstein phonons, a rich variety of phases emerge, including the experimentally observed four sublattice state and the five sublattice 1/5th plateau state seen in the magneto-electric material CuFeO${}_2$. In addition we predict magnetization plateaus at 1/3, 3/7, 1/2, 3/5 and 5/7 at these couplings. Strong spin-lattice couplings induce a striped colinear state, seen in $\alpha$-NaFeO${}_2$ and MnBr${}_2$. On the Kagome lattice, moderate spin-lattice couplings induce colinear order, but an extensive degeneracy remains.

5 pages, 4 figures

References in corpus (8)

• Inversion symmetry breaking in noncollinear magnetic phase of a triangular lattice antiferromagnet CuFeO2
• Magnetic Superstructure in the Two-Dimensional Quantum Antiferromagnet SrCu2(BO3)2
• Order by distortion and string modes in pyrochlore antiferromagnet
• Half-magnetization plateau stabilized by structural distortion in the antiferromagnetic Heisenberg model on a pyrochlore lattice
• Mechanisms of degeneracy breaking in pyrochlore antiferromagnets
• Peierls-like transition induced by frustration in a two-dimensional antiferromagnet
• Magnetic Structure and Properties of the S = 5/2 Triangular Antiferromagnet $\alpha$-NaFeO${}_2$
• Biquadratic antisymmetric exchange and the magnetic phase diagram of magnetoelectric CuFeO${}_2$

Cited by in corpus (38)

• Multiferroicity, The coupling between magnetic and polarization
• Quantum oscillations and high carrier mobility in the delafossite PdCoO${}_2$
• Hexagonal RMnO${}_3$: a model system for 2D triangular lattice antiferromagnets
• Magnetic excitations in the geometric frustrated multiferroic CuCrO${}_2$
• Mapping the B,T phase diagram of frustrated metamagnet CuFeO2
• Order-by-disorder in the antiferromagnetic Ising model on an elastic triangular lattice
• Magnons and electromagnons in a spin-lattice-coupled frustrated magnet CuFeO2 as seen via inelastic neutron scattering
• High-field recovery of the undistorted triangular lattice in the frustrated metamagnet CuFeO2
• The Collinear Magnetic Phases of the Geometrically-Frustrated Antiferromagnet CuFeO${}_2$: The Importance of Stacking
• Magnetization Process of the Classical Heisenberg Model on the Shastry-Sutherland Lattice
• Partially disordered state and spin-lattice coupling in an S=3/2 triangular lattice antiferromagnet Ag2CrO2
• Spin ordering induced by lattice distortions in classical Heisenberg antiferromagnets on the breathing pyrochlore lattice
• Spin-lattice-coupled order in Heisenberg antiferromagnets on the pyrochlore lattice
• Nonlocal Landau theory of the magnetic phase diagram of highly frustrated magnetoelectric CuFeO${}_2$
• Hybridization and Decay of Magnetic Excitations in two-dimensional Triangular Lattice Antiferromagnets
• Realization of the Exactly Solvable Kitaev Honeycomb Lattice Model in a Spin Rotation Invariant System
• Muon-Spin Spectroscopy of the organometallic spin 1/2 kagome-lattice compound Cu(1,3-benzenedicarboxylate)
• Renormalization of spin excitations in hexagonal HoMnO3 by magnon-phonon coupling
• Signatures of a magnetic superstructure phase induced by ultrahigh magnetic fields in a breathing pyrochlore antiferromagnet
• Effects of spin-lattice coupling and a magnetic field in classical Heisenberg antiferromagnets on the breathing pyrochlore lattice
• Attraction Controls the Inversion of Order by Disorder
• Nematicity and fractional magnetization plateaus induced by spin-lattice coupling in the classical kagome-lattice Heisenberg antiferromagnet
• Spin-Driven Bond Order in a 1/5-Magnetization Plateau Phase in a Triangular Lattice Antiferromagnet CuFeO2
• Ultrahigh Magnetic Field Phases in Frustrated Triangular-lattice Magnet CuCrO${}_2$
• Spin-phonon induced magnetic order in Kagome ice
• Bath-engineering magnetic order in quantum spin chains: An analytic mapping approach
• Spin-lattice interaction parameters from first principles: theory and implementation
• Terahertz high-harmonic generation in gapped antiferromagnetic chains
• Phonon-driven multipolar dynamics in a spin-orbit coupled Mott insulator
• Simple microscopic model for magneto-electric coupling in type-II antiferromagnetic multiferroics
• Lattice dynamics and spin-phonon coupling in the kagome spin ice HoAgGe
• Cavity-assisted magnetization switching in a quantum spin-phonon chain
• Dynamic Spin-Lattice Coupling and Statistical Interpretation for the Molecular-Like Excitations in Frustrated Pyrochlores
• Detecting non-magnetic excitations in quantum magnets
• Structural transition, spontaneous formation of strong singlet dimers and metamagnetism in $S=3/2$ magnetoelastic spin chains
• Rotational symmetry breaking potential for two-dimensional magnets
• Transient selection of competing order in frustrated spin Peierls systems after a quench
• $SU(N)$ spin-phonon simulations of Floquet dynamics in spin $S>1/2$ Mott insulators