Algebraic vortex liquid in spin-1/2 triangular antiferromagnets: Scenario for Cs_2CuCl_4

Abstract

Motivated by inelastic neutron scattering data on Cs_2CuCl_4, we explore spin-1/2 triangular lattice antiferromagnets with both spatial and easy-plane exchange anisotropies, the latter due to an observed Dzyaloshinskii-Moriya interaction. Exploiting a duality mapping followed by a fermionization of the dual vortex degrees of freedom, we find a novel "critical" spin-liquid phase described in terms of Dirac fermions with an emergent global SU(4) symmetry minimally coupled to a non-compact U(1) gauge field. This ``algebraic vortex liquid" supports gapless spin excitations and universal power-law correlations in the dynamical spin structure factor which are consistent with those observed in Cs_2CuCl_4. We suggest future neutron scattering experiments that should help distinguish between the algebraic vortex liquid and other spin liquids and quantum critical points previously proposed in the context of Cs_2CuCl_4.

4 pages, 3 figures; minor revisions, momenta in Fig. 2 corrected

References in corpus (16)

• An RVB phase in the triangular lattice quantum dimer model
• Experimental realization of a 2D fractional quantum spin liquid
• Observation of extended scattering continua characteristic of spin fractionalization in the 2D frustrated quantum magnet Cs2CuCl4 by neutron scattering
• Topological Disorder Operators in Three-Dimensional Conformal Field Theory
• Spin correlations in the algebraic spin liquid - implications for high Tc superconductors
• Phase diagram for a class of spin-half Heisenberg models interpolating between the square-lattice, the triangular-lattice and the linear chain limits
• Possible Quantum Spin Liquid States on the Triangular and Kagome Lattices
• Temperature Dependence of the Magnetic Susceptibility for Triangular-Lattice Antiferromagnets with spatially anisotropic exchange constants
• Finite-temperature dynamical magnetic susceptibility of quasi-one-dimensional frustrated spin-1/2 Heisenberg antiferromagnets
• Spin wave analysis to the spatially-anisotropic Heisenberg antiferromagnet on triangular lattice
• Large-N solutions of the Heisenberg and Hubbard-Heisenberg models on the anisotropic triangular lattice: application to Cs${}_2$CuCl${}_4$ and to the layered organic superconductors $\kappa$-(BEDT-TTF)${}_2$X
• Criticality in quantum triangular antiferromagnets via fermionized vortices
• Ground states of a frustrated spin-1/2 antifferomagnet: Cs_2CuCl_4 in a magnetic field
• Spin dynamics of the quasi two dimensional spin-1/2 quantum magnet Cs_2CuCl_4
• Statistics of spinons in the spin-liquid phase of Cs2CuCl4
• Chern_simons Theory of the Anisotropic Quantum Heisenberg Antiferromagnet on a Square Lattice

Cited by in corpus (43)

• Symmetry Protected Topological phases of Quantum Matter
• Continuous excitations of the triangular-lattice quantum spin liquid YbMgGaO4
• Properties of an algebraic spin liquid on the kagome lattice
• Unusual ordered phases of highly frustrated magnets: a review
• Boson topological insulators: A window into highly entangled quantum phases
• Dual Dirac liquid on the surface of the electron topological insulator
• Spinons and triplons in spatially anisotropic frustrated antiferromagnets
• Ordering in spatially anisotropic triangular antiferromagnets
• Extreme sensitivity of a frustrated quantum magnet: Cs_2CuCl_4
• Unifying Description of Competing Orders in Two Dimensional Quantum Magnets
• D-wave correlated Critical Bose Liquids in two dimensions
• Flat spin wave dispersion in a triangular antiferromagnet
• Distinct Spin Liquids and their Transitions in Spin-1/2 XXZ Kagome Antiferromagnets
• Spin Liquid Phase in Anisotropic Triangular Lattice Heisenberg Model: Exact diagonalization and density-matrix renormalization group calculations
• Algebraic vortex liquid theory of a quantum antiferromagnet on the kagome lattice
• Exotic quantum phases and phase transitions in correlated matter
• Thermodynamics of the Up-Up-Down Phase of the S = 1/2 Triangular-Lattice Antiferromagnet Cs${}_2$CuBr${}_4$
• Theory of the algebraic vortex liquid in an anisotropic spin-1/2 triangular antiferromagnet
• Determination of effective microscopic models for the frustrated antiferromagnets Cs${}_2$CuCl${}_4$ and Cs${}_2$CuBr${}_4$ by density functional methods
• Chiral and Critical Spin Liquids in Spin-$1/2$ Kagome Antiferromagnet
• Magnetic order in coupled spin-half and spin-one Heisenberg chains in anisotropic triangular-lattice geometry
• Excitation spectra and ground state properties of the layered spin-1/2 frustrated antiferromagnets Cs_2CuCl_4 and Cs_2CuBr_4
• Degenerate perturbation theory of quantum fluctuations in a pyrochlore antiferromagnet
• Half-magnetization plateau in a Heisenberg antiferromagnet on a triangular lattice
• Topological spin ordering via Chern-Simons superconductivity
• Quantum Spin Supersolid as a precursory Dirac Spin Liquid in a Triangular Lattice Antiferromagnet
• Critical spin liquid at 1/3 magnetization in a spin-1/2 triangular antiferromagnet
• Raman scattering in a Heisenberg S=1/2 antiferromagnet on the anisotropic triangular lattice
• Antiferromagnetic magnons from fractionalized excitations
• Kondo physics in the algebraic spin liquid
• Interplay between spatial anisotropy and further exchange interactions in the triangular Heisenberg model
• Commensurate and incommensurate ground states of Cs_2CuCl_4 in a magnetic field
• Magnetic phases of the anisotropic triangular lattice Hubbard model
• ${}^{133}$Cs NMR investigation of 2D frustrated Heisenberg antiferromagnet, Cs${}_2$CuCl${}_4$
• Non-abelian descendant of abelian duality in a two-dimensional frustrated quantum magnet
• Fractionalized gapless quantum vortex liquids
• Symmetry-breaking effects of instantons in parton gauge theories
• Torque equilibrium spin wave theory of Raman scattering in an anisotropic triangular lattice antiferromagnet with Dzyaloshinskii-Moriya interaction
• Monopoles in Dirac spin liquids and their symmetries from instanton calculus
• Finite Spinon Density-of-States in Triangular-Lattice Delafossite TlYbSe${}_2$
• Nature of an intermediate non-Fermi liquid state in Ge-substituted YbRh${}_2$Si${}_2$: Fermionized skyrmions, Lifshitz transition, Skyrmion liquid, and Gruneisen ratio
• The algebraic spin liquid in the SU(6) Heisenberg model on the kagome lattice
• Fermionized dual vortex theory for magnetized kagomé spin liquid