Possible chiral phase transition in two-dimensional solid ${}^3$He

Abstract

We study a spin system with two- and four-spin exchange interactions on the triangular lattice, which is a possible model for the nuclear magnetism of solid ${}^3$He layers. It is found that a novel spin structure with scalar chiral order appears if the four-spin interaction is dominant. Ground-state properties are studied using the spin-wave approximation. A phase transition concerning the scalar chirality occurs at a finite temperature, even though the dimensionality of the system is two and the interaction has isotropic spin symmetry. Critical properties of this transition are studied with Monte Carlo simulations in the classical limit.

4 pages, Revtex, 4 figures, to appear in Phys.Rev.Lett

References in corpus (1)

• Ground State of a Spin System with Two- and Four-spin Exchange Interactions on the Triangular Lattice

Cited by in corpus (60)

• Variational study of triangular lattice spin-1/2 model with ring exchanges and spin liquid state in κ-(ET)_2 Cu_2 (CN)_3
• Scalar spin chirality and quantum Hall effect on a triangular lattice
• Correlation-driven chiral superconductivity and chiral spin order in doped kagome lattice
• Spin-Liquid phase of the Multiple-Spin Exchange Hamiltonian on the Triangular Lattice
• Electronic Orbital Currents and Polarization in Mott Insulators
• Spin Liquid in the Multiple-Spin Exchange model on the Triangular lattice: 3He on graphite
• Lattice symmetries and regular states in classical frustrated antiferromagnets
• Topological spin crystals by itinerant frustration
• Stability of spontaneous quantum Hall state in the Triangular Kondo-lattice model
• Noncoplanar multiple-$Q$ spin textures by itinerant frustration: Effects of single-ion anisotropy and bond-dependent anisotropy
• Nature of chiral spin liquids on the kagome lattice
• Four-Spin Terms and the Origin of the Chiral Spin Liquid in Mott Insulators on the Triangular Lattice
• Vortices, skyrmions, and chirality waves in frustrated Mott insulators with a quenched periodic array of impurities
• Multiple skyrmion crystal phases by itinerant frustration in centrosymmetric tetragonal magnets
• Chirality waves in two-dimensional magnets
• Magnetization plateau in a two-dimensional multiple-spin exchange model
• Effective spin model in momentum space: Toward a systematic understanding of multiple-$Q$ instability by momentum-resolved anisotropic exchange interactions
• Spin-chirality duality in a spin ladder with four-spin cyclic exchange
• Chirality and $Z_2$ vortices in an Heisenberg spin model on the kagomé lattice
• Locking of skyrmion cores on a centrosymmetric discrete lattice: onsite versus offsite
• Stabilization mechanisms of magnetic skyrmion crystal and multiple-$Q$ states based on momentum-resolved spin interactions
• Spin excitation spectra in helimagnetic states: proper-screw, cycloid, vortex crystal, and hedgehog lattice
• Degenerate manifolds, helimagnets, and multi-$\mathbf{Q}$ chiral phases in the classical Heisenberg antiferromagnet on the face-centered-cubic lattice
• Spin nematic order in multiple-spin exchange models on the triangular lattice
• Scalar chiral ground states of spin ladders with four-spin exchanges
• Spin liquid phase due to competing classical orders in the semiclassical theory of the Heisenberg model with ring exchange on an anisotropic triangular lattice
• Spin liquid phase in the semiclassical theory of the Heisenberg model on an anisotropic triangular lattice with ring exchange
• Magnetic field-temperature phase diagrams for multiple-$Q$ magnetic orderings: Exact steepest descent approach to long-range interacting spin systems
• Skyrmion crystals in centrosymmetric triangular magnets under hexagonal and trigonal single-ion anisotropy
• Temperature-driven transition from skyrmion to bubble crystals in centrosymmetric itinerant magnets
• Chiral Mott insulators in frustrated Bose-Hubbard models on ladders and two-dimensional lattices: a combined perturbative and density matrix renormalization group study
• XY ring-exchange model on the triangular lattice
• Nonreciprocal Transport in Noncoplanar Magnetic Systems without Spin-Orbit Coupling, Net Scalar Chirality, or Magnetization
• Chiral liquid phase of simple quantum magnets
• Colossal enhancement of spin-chirality-related Hall effect by thermal fluctuation
• Eight-color chiral spin liquid in the $S=1$ bilinear-biquadratic model with Kitaev interactions
• Magnetic Phase Diagram of Spin-1/2 Two-Leg Ladder with Four-Spin Ring Exchange
• Emergent skyrmion-based chiral order in zero-field Heisenberg antiferromagnets on the breathing kagome lattice
• Noncoplanar orders and quantum disordered states in maple-leaf (anti)ferromagnets
• Coupling of the triple-Q state to the atomic lattice by anisotropic symmetric exchange
• Gapped nodal planes drive a large topological Nernst effect in a chiral lattice antiferromagnet
• Phase diagram and topological phases in the triangular lattice Kitaev-Hubbard model
• Principal Chiral Model in Correlated Electron Systems
• Thermal destruction of chiral order in a two-dimensional model of coupled trihedra
• Skyrmion crystal under $D_{3h}$ point group: Role of out-of-plane Dzyaloshinskii-Moriya interaction
• Skyrmion crystal with integer and fractional skyrmion numbers in a nonsymmorphic lattice structure with the screw axis
• Anomalous valley Hall effect in monolayer chromium-based triple-Q magnets
• Multiple-$q$ dipole-quadrupole instability in spin-1 triangular-lattice systems
• Electric field control of a quantum spin liquid in weak Mott insulators
• Zero-field miniature skyrmion crystal and chiral domain state in breathing-kagome antiferromagnets
• Orbital Magnetism Induced by Heat Currents in Mott insulators
• Chern insulating state with double-$Q$ ordering wave vectors at the Brillouin zone boundary
• Spin-Wave Theory of the Multiple-Spin Exchange Model on a Triangular Lattice in a Magnetic Field : 3-Sublattice Structures
• Four-Spin Interactions as a Route to Multiple-Q Topological Magnetic Order
• Kitaev Meets Affleck-Kennedy-Lieb-Tasaki: Competing Quantum Disorder in Spin-3/2 Honeycomb Systems
• Exchange Interactions of a Wigner Crystal in a Magnetic Field and Berry Curvature: Multi-Particle Tunneling through Complex Trajectories
• Spin-Wave Theory for the Scalar Chiral Phase in the Multiple-Spin Exchange Model on a Triangular Lattice
• Machine learning dynamics of phase separation in correlated electron magnets
• Magnetic Flux Tuning of Spin Chirality in Mott Insulators with Ring Exchanges
• ${\mathbb{Z}}_2$ Vortex Crystals in Tetrahedral Antiferromagnets: Fractional Charges and Topological Magnons