Lattice-coupled Antiferromagnet on Frustrated Lattices

Abstract

Lattice-coupled antiferromagnetic spin model is analyzed for a number of frustrated lattices: triangular, Kagome, and pyrochlore. In triangular and Kagome lattices where ground state spins are locally ordered, the spin-lattice interaction does not lead to a static deformation of the lattice. In the pyrochlore structure, spin-lattice coupling supports a picture of the hexagon spin cluster proposed in the recent experiment[S. H. Lee et al. Nature, 418, 856 (2002)]. Through spin-lattice interaction a uniform contraction of the individual hexagons in the pyrochlore lattice can take place and reduce the exchange energy. Residual hexagon-hexagon interaction takes the form of a 3-states Potts model where the preferred directions of the spin-loop directors for nearby hexagons are mutually orthogonal.

References in corpus (6)

• Emergent excitations in a geometrically frustrated magnet
• Local spin resonance and spin-Peierls-like phase transition in a geometrically frustrated antiferromagnet
• Order by distortion and string modes in pyrochlore antiferromagnet
• Spin Driven Jahn-Teller Distortion in a Pyrochlore system
• Spin-Peierls phases in pyrochlore antiferromagnets
• Peierls-like transition induced by frustration in a two-dimensional antiferromagnet

Cited by in corpus (12)

• Mechanisms of degeneracy breaking in pyrochlore antiferromagnets
• Spin-ordering and magnetoelastic coupling in the extended Kagome system YBaCo4O7
• Magnon-phonon coupling and two-magnon continuum in two-dimensional triangular antiferromagnet CuCrO2
• 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
• Hybridization and Decay of Magnetic Excitations in two-dimensional Triangular Lattice Antiferromagnets
• Coupling of phonons and spin waves in triangular antiferromagnet
• Structural instability of two- and three-dimensional pyrochlore spin lattices in high magnetic fields
• Effects of spin-lattice coupling and a magnetic field in classical Heisenberg antiferromagnets on the breathing pyrochlore lattice
• Extremely slow non-equilibrium monopole dynamics in classical spin ice
• Relieving Geometrical frustration through doping in the Dy${}_{1-x}$Ca${}_x$BaCo${}_4$O${}_7$ Swedenborgites
• Valence-bond-solid order in antiferromagnets with spin-lattice coupling