Site-selective observation of spin dynamics of a Tomonaga-Luttinger liquid in frustrated Heisenberg chains

Abstract

Low-energy spin dynamics is investigated by ${}^{35}$ Cl NMR measurements in a frustrated antiferromagnet Ca${}_3$ReO${}_5$Cl${}_2$. The local spin susceptibility measured with the Knight shift behaves as a one-dimensional Heisenberg antiferromagnet and remains constant down to low temperatures, as expected in a gapless Tomonaga-Luttinger liquid. The nuclear spin-lattice relaxation rate $T_1^{-1}$ demonstrates a slowing down of atomic motions and a power-law evolution of spin correlation. The Luttinger parameter is enhanced in a site-selective manner depending on the form factor of dynamical spin susceptibility. The strong anisotropy of $T_1^{-1}$ reflects the strong spin-orbit coupling through Dzyaloshinskii-Moriya interaction. The ground state exhibits an incommensurate antiferromagnetic ordering with low-lying magnon excitations.

arXiv comment11 pages, 9 figures

References in corpus (47)

• Quantum Orders and Symmetric Spin Liquids
• Susceptibility of the Spin 1/2 Heisenberg Antiferromagnetic Chain
• Experimental realization of a 2D fractional quantum spin liquid
• Coupled Ladders in a Magnetic Field
• Observation of extended scattering continua characteristic of spin fractionalization in the 2D frustrated quantum magnet Cs2CuCl4 by neutron scattering
• Critical Properties of gapped spin-1/2 chains and ladders in a magnetic field
• Two spin liquid phases in the spatially anisotropic triangular Heisenberg model
• Controlling Luttinger liquid physics in spin ladders under a magnetic field
• Finite Temperature Properties of Quantum Antiferromagnets in a Uniform Magnetic Field in One and Two Dimensions
• Spinons and triplons in spatially anisotropic frustrated antiferromagnets
• Statics and dynamics of weakly coupled antiferromagnetic spin-1/2 ladders in a magnetic field
• Ordering in spatially anisotropic triangular antiferromagnets
• Extreme sensitivity of a frustrated quantum magnet: Cs_2CuCl_4
• Anomalous spin diffusion in one-dimensional antiferromagnets
• 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
• 17O NMR study of q=0 spin excitations in a nearly ideal S=1/2 1D Heisenberg antiferromagnet, Sr2CuO3, up to 800 K
• Spin Liquid Phase in Anisotropic Triangular Lattice Heisenberg Model: Exact diagonalization and density-matrix renormalization group calculations
• NMR relaxation in half-integer antiferromagnetic spin chains
• NMR relaxation rate and dynamical structure factors in nematic and multipolar liquids of frustrated spin chains under magnetic fields
• Spin correlations in the two-leg antiferromagnetic ladder in a magnetic field
• Spin Drag and Spin-Charge Separation in Cold Fermi Gases
• Wilson ratio of a Tomonaga-Luttinger liquid in a spin-1/2 Heisenberg ladder
• Field and temperature dependence of the NMR relaxation rate in the magnetic quadrupolar liquid phase of spin-1/2 frustrated ferromagnetic chains
• Quantum-critical spin dynamics in quasi-one-dimensional antiferromagnets
• Possibility of Gapless Spin Liquid State by One-dimensionalization
• Anisotropic spin fluctuations in the quasi one-dimensional frustrated magnet LiCuVO_4
• Dichotomy between Attractive and Repulsive Tomonaga-Luttinger Liquids in Spin Ladders
• Angle-resolved NMR: quantitative theory of 75As T1 relaxation rate in BaFe2As2
• Quantum disorder in the spatially completely anisotropic triangular lattice I: Heisenberg $S=1/2$ antiferromagnet
• Quantum disorder in the spatially completely anisotropic triangular lattice II: frustrated hard-core bosons
• "Visible" 5d orbital states in a pleochroic oxychloride
• Nuclear Magnetic Resonance in High Magnetic Field: Application to Condensed Matter Physics
• Temperature dependence of the NMR relaxation rate 1/T_1 for quantum spin chains
• Site-Selective Mott Transition in a Quasi-One-Dimensional Vanadate V6O13
• Temperature dependence of the NMR spin-lattice relaxation rate for spin-1/2 chains
• One-dimensionalization by Geometrical Frustration in the Anisotropic Triangular Lattice of the 5d Quantum Antiferromagnet Ca3ReO5Cl2
• Spatiotemporal Crossover between Low- and High-Temperature Dynamical Regimes in the Quantum Heisenberg Magnet
• Dynamical response and dimensional crossover for spatially anisotropic antiferromagnets
• Nature of the low energy excitations in the short range ordered region of Cs${}_2$CuCl${}_4$ as revealed by ${}^{133}$Cs NMR
• Direct determination of the Tomonaga-Luttinger parameter $K$ in quasi-one-dimensional spin systems
• 63Cu NQR evidence of dimensional crossover to anisotropic 2d regime in S= 1/2 three-leg ladder Sr2Cu3O5
• ${}^{133}$Cs NMR investigation of 2D frustrated Heisenberg antiferromagnet, Cs${}_2$CuCl${}_4$
• Quantum-critical spin dynamics in a Tomonaga-Luttinger liquid studied with muon-spin relaxation
• Dimensional reduction and incommensurate dynamic correlations in the $S=\frac{1}{2}$ triangular-lattice antiferromagnet Ca${}_3$ReO${}_5$Cl${}_2$
• Occupation switching of $d$ orbitals probed via hyperfine interactions in vanadium dioxide
• Pinalites: Optical properties and Quantum Magnetism of Heteroanionic A${}_3$MO${}_5$X${}_2$ Compounds