Spectral evidence of a ghostly transition: Theory of NMR 1/T_1 relaxation in a quantum spin nematic in applied magnetic field

Abstract

There is now strong theoretical evidence that a wide range of frustrated magnets should support quantum spin-nematic order in applied magnetic field. Nonetheless, the fact that spin-nematic order does not break time-reversal symmetry makes it very difficult to detect in experiment. In this article, we continue the theme begun in [Phys. Rev. B 88, 184430 (2013)], of exploring how spin-nematic order reveals itself in the spectrum of spin excitations. Building on an earlier analysis of inelastic neutron scattering [Phys. Rev. B 91, 174402 (2015)], we show how the NMR 1/T_1 relaxation rate could be used to identify a spin-nematic state. We emphasise the characteristic, universal features of 1/T_1, using a symmetry-based description of the spin-nematic order parameter and its fluctuations.Turning to the specific case of spin-1/2 frustrated ferromagnets, we show that the signal from competing spin-wave excitations can be suppressed through a judicious choice of nuclear site and field direction. As a worked example, we show how P NMR in the square-lattice frustrated ferromagnet BaCdVO(PO_4)_2 is sensitive to spin-nematic order.

12 pages, 8 figures

References in corpus (26)

• 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
• Emergent multipolar spin correlations in a fluctuating spiral - The frustrated ferromagnetic S=1/2 Heisenberg chain in a magnetic field
• Magnetic properties of BaCdVO(PO_4)_2: a strongly frustrated spin-1/2 square lattice close to the quantum critical regime
• Frustrated ferromagnetic spin-1/2 chain in a magnetic field: The phase diagram and thermodynamic properties
• Multi-magnon bound states in the frustrated ferromagnetic 1D chain
• New high magnetic field phase of the frustrated $S=1/2$ chain compound LiCuVO${}_4$
• Correlation functions and excitation spectrum of the frustrated ferromagnetic spin-1/2 chain in an external magnetic field
• Waves in the unseen : theory of spin excitations in a quantum spin nematic
• 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
• NMR relaxation rate and dynamical structure factors in nematic and multipolar liquids of frustrated spin chains under magnetic fields
• Zigzag spin chains with antiferromagnetic-ferromagnetic interactions: Transfer-matrix renormalization group study
• 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
• Thermodynamic Properties of the Anisotropic Frustrated Spin-chain Compound Linarite PbCuSO${}_4$(OH)${}_2$
• Exact one- and two-particle excitation spectra of acute-angle helimagnets above their saturation magnetic field
• Nematic phase and phase separation near saturation field in frustrated ferromagnets
• Ghost in the machine: Theory of inelastic neutron scattering in a field-induced spin-nematic state
• Complex field-induced states in Linarite PbCuSO${}_4$(OH)${}_2$ with a variety of high-order exotic SDW${}_p$ states
• Angle-resolved NMR: quantitative theory of 75As T1 relaxation rate in BaFe2As2
• Projective studies of spin nematics in a quantum frustrated ferromagnet
• Ground-state phase diagram and magnetic properties of a tetramerized spin-1/2 J_1-J_2 model: BEC of bound magnons and absence of the transverse magnetization
• Dynamical spin structure factors of quantum spin nematic states
• Spin nematic phase in (quasi-)one-dimensional frustrated magnet in strong magnetic field
• 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

Cited by in corpus (19)

• Competing spin liquids and hidden nematic order in spin ice with frustrated transverse exchange
• Spin Nematics Meet Spin Liquids: Exotic Quantum Phases in the Spin-$1$ Bilinear-Biquadratic Model with Kitaev Interactions
• Evidence for a magnetic field-induced unconventional nematic state in the frustrated and anisotropic spin-chain cuprate LiCuSbO${}_4$
• Spin dynamics in the high-field phases of volborthite
• Thermodynamics of a frustrated quantum magnet on a square lattice
• Nuclear Magnetic Resonance in High Magnetic Field: Application to Condensed Matter Physics
• Putative spin-nematic phase in BaCdVO(PO${}_4$)${}_2$
• Electron spin resonance for the detection of long-range spin nematic order
• The magnetic phase diagram of the frustrated spin chain compound linarite, PbCuSO${}_4$(OH)${}_2$, as seen by neutron diffraction and ${}^1$H-NMR
• NMR evidence against a spin-nematic nature of the presaturation phase in the frustrated magnet SrZnVO(PO4)2
• Magnetically hidden state on the ground floor of the magnetic Devil's staircase
• 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
• Electric probe for the toric code phase in Kitaev materials through the hyperfine interaction
• Spin-orbit interaction driven dimerization in one dimensional frustrated magnets
• Dynamical structure factors in the nematic phase of frustrated ferromagnetic spin chains
• Large magnetic thermal conductivity induced by frustration in low-dimensional quantum magnets
• Dynamics of quantum spin-nematics: Comparisons with canted antiferromagnets
• Impurity effects in one dimensional spin nematic liquid