Spin nematic order in multiple-spin exchange models on the triangular lattice

Abstract

We figure out that the ground state of a multiple-spin exchange model applicable to thin films of solid 3He possesses an octahedral spin nematic order. In the presence of magnetic field, it is deformed into an antiferro-quadrupolar order in the perpendicular spin plane, in which lattice Z3 rotational symmetry is also broken. Furthermore, this system shows a narrow magnetization plateau at half, m/m_{sat}=1/2, which resembles recent magnetization measurement [H. Nema et al., Phys. Rev. Lett. 102, 075301 (2009)].

5 pages, 6 figures

References in corpus (3)

• The quadrupolar phases of the S=1 bilinear-biquadratic Heisenberg model on the triangular lattice
• Octupolar order in the multiple spin exchange model on a triangular lattice
• Nematic order in the multiple-spin exchange model on the triangular lattice

Cited by in corpus (21)

• Waves in the unseen : theory of spin excitations in a quantum spin nematic
• Nuclear magnetic resonance signature of the spin-nematic phase in LiCuVO${}_4$ at high magnetic fields
• Nematic phase and phase separation near saturation field in frustrated ferromagnets
• Novel phases in a square-lattice frustrated ferromagnet : 1/3-magnetisation plateau, helicoidal spin-liquid and vortex crystal
• Magnetization Jump in the Magnetization Process of the spin-1/2 Heisenberg Antiferromagnet on a Distorted Square-Kagome Lattice
• Where is the Quantum Spin Nematic?
• Magnetic Excitations of Spin Nematic State in Frustrated Ferromagnetic Chain
• Exact diagonalization and cluster mean-field study of triangular-lattice XXZ antiferromagnets near saturation
• Thermodynamic properties of an $S=1/2$ ring-exchange model on the triangular lattice
• Variational cluster approach to thermodynamic properties of interacting fermions at finite temperatures: A case study of the two-dimensional single-band Hubbard model at half filling
• Dynamical spin structure factors of quantum spin nematic states
• Putative spin-nematic phase in BaCdVO(PO${}_4$)${}_2$
• Angular dependence of electron spin resonance for detecting quadrupolar liquid state of frustrated spin chains
• Electron spin resonance for the detection of long-range spin nematic order
• Spin nematics in frustrated spin-dimer systems with bilayer structure
• Abundant quadrupolar or nematic phases driven by the Heisenberg interactions in a spin-1 dimer system forming a bilayer
• Spin nematics next to spin singlets
• Magnetism of the Bilayer Wigner Crystal
• Dynamical quadrupole structure factor of frustrated ferromagnetic chain
• Dynamics of quantum spin-nematics: Comparisons with canted antiferromagnets
• Spin nematic order and superconductivity in $J_1$-$J_2$ Kondo lattice model on square lattice