NMR relaxation rate and dynamical structure factors in nematic and multipolar liquids of frustrated spin chains under magnetic fields

Abstract

Recently, it has been shown that spin nematic (quadrupolar) or higher multipolar correlation functions exhibit a quasi long-range order in the wide region of the field-induced Tomonaga-Luttinger-liquid (TLL) phase in spin-1/2 zigzag chains. In this paper, we point out that the temperature dependence of the NMR relaxation rate 1/T_1 in these multipolar TLLs is qualitatively different from that in more conventional TLLs of one-dimensional quantum magnets (e.g., the spin-1/2 Heisenberg chain); 1/T_1 decreases with lowering temperature in multipolar TLL. We also discuss low-energy features in spin dynamical structure factors which are characteristic of the multipolar TLL phases.

4+epsilon pages, 2 figures, published version

References in corpus (19)

• Nematic order in square lattice frustrated ferromagnets
• Vector chiral and multipolar orders in the spin-1/2 frustrated ferromagnetic chain in magnetic field
• The quadrupolar phases of the S=1 bilinear-biquadratic Heisenberg model on the triangular lattice
• Spin Nematic Phase in S=1 Triangular Antiferromagnets
• Critical Properties of gapped spin-1/2 chains and ladders in a magnetic field
• Correlation between spin helicity and electric polarization vector in quantum-spin chain magnet LiCu${}_2$O${}_2$
• Reply to Comment on "Competition between helimagnetism and commensurate quantum spin correlations in LiCu2O2"
• Incommensurate spin correlations in Heisenberg spin-1/2 zig-zag ladders
• Confirmation of a one-dimensional spin-1/2 Heisenberg system with ferromagnetic first-nearest-neighbor and antiferromagnetic second-nearest-neighbor interactions in Rb${}_2$Cu${}_2$Mo${}_3$O${}_{12}$
• Ferroelectric Transition Induced by the Incommensurate Magnetic Ordering in LiCuVO4
• Multi-magnon bound states in the frustrated ferromagnetic 1D chain
• Correlation functions and excitation spectrum of the frustrated ferromagnetic spin-1/2 chain in an external magnetic field
• Magnetic phase diagram of the S=1/2 antiferromagnetic zigzag spin chain in the strongly frustrated region: cusp and plateau
• NMR relaxation in half-integer antiferromagnetic spin chains
• Octupolar order in the multiple spin exchange model on a triangular lattice
• Field-induced chiral phase in isotropic frustrated spin chains
• Nuclear relaxation in the spin-1/2 antiferromagnetic chain compound Sr_2CuO_3 --- comparison between theories and experiments
• Dynamical spin correlations in Heisenberg ladder under magnetic field and correlation functions in SO(5) ladder
• Luttinger liquid behavior in spin chains with a magnetic field

Cited by in corpus (61)

• Statics and dynamics of weakly coupled antiferromagnetic spin-1/2 ladders in a magnetic field
• Ground-state phase diagram of a spin-1/2 frustrated ferromagnetic XXZ chain: Haldane dimer phase and gapped/gapless chiral phases
• Evidence of a bond-nematic phase in LiCuVO4
• Search for a spin-nematic phase in the quasi-one-dimensional frustrated magnet LiCuVO${}_4$
• Spin-Nematic and Spin-Density-Wave Orders in Spatially Anisotropic Frustrated Magnets in a Magnetic Field
• Magnetic properties and revisited exchange integrals of the frustrated chain cuprate PbCuSO${}_4$(OH)${}_2$ - linarite
• Magnetic phase diagram of the spin-1/2 antiferromagnetic zigzag ladder
• Excitations and quasi-one-dimensionality in field-induced nematic and spin density wave states
• Field and temperature dependence of the NMR relaxation rate in the magnetic quadrupolar liquid phase of spin-1/2 frustrated ferromagnetic chains
• Generalized spin-wave theory: application to the bilinear-biquadratic model
• Anisotropic spin fluctuations in the quasi one-dimensional frustrated magnet LiCuVO_4
• Spin Density Wave in Insulating Ferromagnetic Frustrated Chain LiCuVO${}_4$
• Ghost in the machine: Theory of inelastic neutron scattering in a field-induced spin-nematic state
• Dichotomy between Attractive and Repulsive Tomonaga-Luttinger Liquids in Spin Ladders
• Angle-resolved NMR: quantitative theory of 75As T1 relaxation rate in BaFe2As2
• Evidence for a magnetic field-induced unconventional nematic state in the frustrated and anisotropic spin-chain cuprate LiCuSbO${}_4$
• High--field NMR of the quasi--1D antiferromagnet LiCuVO${}_4$
• Magnetic Excitations of Spin Nematic State in Frustrated Ferromagnetic Chain
• Unconventional Neel and dimer orders in a spin-1/2 frustrated ferromagnetic chain with easy-plane anisotropy
• Competing phases in spin-1/2 J1-J2 chain with easy-plane anisotropy
• Magnon Pairs and Spin-Nematic Correlation in the Spin-Seebeck Effect
• Temperature dependence of the NMR relaxation rate 1/T_1 for quantum spin chains
• Spectral evidence of a ghostly transition: Theory of NMR 1/T_1 relaxation in a quantum spin nematic in applied magnetic field
• Dynamical spin structure factors of quantum spin nematic states
• Multipolar phase in frustrated spin-1/2 and 1 chains
• Variety of order-by-disorder phases in the asymmetric $J_1-J_2$ zigzag ladder: From the delta chain to the $J_1-J_2$ chain
• Magnetic structure of the spin-1/2 frustrated quasi-one-dimensional antiferromagnet Cu3Mo2O9: Appearance of a partial disordered state
• Dielectric Anomaly in the Quasi-One-Dimensional Frustrated Spin-1/2 System Rb${}_2$(Cu${}_{1-x}$M${}_x$)${}_2$Mo${}_3$O${}_{12}$ (M=Ni and Zn)
• Effect of Fermi surface evolution on superconducting gap in superconducting topological insulator
• Thermodynamics of the frustrated one-dimensional spin-1/2 Heisenberg ferromagnet in a magnetic field
• Angular dependence of electron spin resonance for detecting quadrupolar liquid state of frustrated spin chains
• Linarite - a quasi-critical J${}_1$-J${}_2$ chain
• Magnetic phase diagram slightly below the saturation field in the stacked $J_1$-$J_2$ model in the square lattice with the $J_{\text{C}}$ interlayer coupling
• Electron spin resonance for the detection of long-range spin nematic order
• Rb-NMR study of the quasi-one dimensional competing spin-chain compound Rb2Cu2Mo3O12
• Possible quadrupolar nematic phase in the frustrated spin chain LiCuSbO${}_4$: an NMR investigation
• The magnetic phase diagram of the frustrated spin chain compound linarite, PbCuSO${}_4$(OH)${}_2$, as seen by neutron diffraction and ${}^1$H-NMR
• Collinear Spin-density-wave Order and Anisotropic Spin Fluctuations in the Frustrated $J_1$--$J_2$ Chain Magnet NaCuMoO${}_4$(OH)
• Spiral magnetic structure in spin-5/2 frustrated trimerized chains in SrMn3P4O14
• Two-photon driven magnon-pair resonance as a signature of spin-nematic order
• Field-induced spin nematic Tomonaga-Luttinger liquid of the $S=1/2$ spin ladder system with the anisotropic ferromagnetic rung interaction
• Dynamics of Bound Magnon Pairs in the Quasi-One-Dimensional Frustrated Magnet LiCuVO_4
• Control of superexchange interactions with DC electric fields
• Magnetic ground state of the frustrated spin-1/2 chain compound $\beta$-TeVO${}_4$ at high magnetic fields
• Thermal effects versus spin nematicity in a frustrated spin-1/2 chain
• Finite temperature thermodynamic properties of the spin-1 nematics in an applied magnetic field
• Spin-orbit interaction driven dimerization in one dimensional frustrated magnets
• Quantum phase transitions in a strongly entangled spin-orbital chain: A field-theoretical approach
• Low-energy spin excitations of the frustrated ferromagnetic $J_1$-$J_2$ chain material linarite, PbCuSO${}_4$(OH)${}_2$, in applied magnetic fields $\mathbf{H}\parallel b$ axis
• Dynamical structure factors in the nematic phase of frustrated ferromagnetic spin chains
• Effects of magnetic anisotropy on spin dynamics of ferromagnetic frustrated chain
• Quantum Fluctuations in the van der Walls material $\mathrm{NiP}{\mathrm{S}}_3$
• Dynamical quadrupole structure factor of frustrated ferromagnetic chain
• Large magnetic thermal conductivity induced by frustration in low-dimensional quantum magnets
• NMR relaxation rate in the field-induced octupolar liquid phase of spin-1/2 J1-J2 frustrated chains
• Effects of Zeeman field on a Spin Bose-Metal phase
• Dynamics of quantum spin-nematics: Comparisons with canted antiferromagnets
• Self-organised magnon condensation in quasi-1D edge-shared cuprates without external fields
• Magnetic excitations and transport properties in frustrated ferromagnetic chain
• Impurity effects in one dimensional spin nematic liquid
• Site-selective observation of spin dynamics of a Tomonaga-Luttinger liquid in frustrated Heisenberg chains