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

Abstract

We report a study of the spin dynamics of the frustrated ferromagnetic $J_1$-$J_2$ chain compound linarite, PbCuSO${}_4$(OH)${}_2$, in applied magnetic fields up to field polarization. By means of an extreme-environment inelastic neutron scattering experiment, we have measured the low-energy spin excitations of linarite in fields up to 8.8 T for $\mathbf{H}\parallel b$ axis. We have recorded the spin excitation spectra along $h$, $k$ and $l$ for the field-induced magnetic phases IV, V and the field polarized state close to saturation. By employing first-principles calculations, we estimate the leading magnetic exchanges out of the $bc$ plane and model the dispersion relations using linear spin-wave theory. In this way, we find evidence for a (very weak) residual magnetic exchange coupling out of the $bc$ plane. Together with the previously established dominant intrachain couplings $J_1$ and $J_2$ and the interchain coupling $J_3$, we derive an effective set of exchange couplings for a microscopic description of linarite. Further, we find that the peculiar character of phase V manifests itself in the measured spin dynamics.

References in corpus (18)

• Mantid - Data Analysis and Visualization Package for Neutron Scattering and $\mu SR$ Experiments
• Vector chiral and multipolar orders in the spin-1/2 frustrated ferromagnetic chain in magnetic field
• Emergent multipolar spin correlations in a fluctuating spiral - The frustrated ferromagnetic S=1/2 Heisenberg chain in a magnetic field
• 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
• Phase diagram of an anisotropic frustrated ferromagnetic spin-1/2 chain in a magnetic field: a density matrix renormalization group study
• Ghost in the machine: Theory of inelastic neutron scattering in a field-induced spin-nematic state
• Magnetic Excitations of Spin Nematic State in Frustrated Ferromagnetic Chain
• Coexistence and interaction of spinons and magnons in an antiferromagnet with alternating antiferromagnetic and ferromagnetic quantum spin chains
• The dynamics of linarite: Observations of magnetic excitations
• Angular dependence of electron spin resonance for detecting quadrupolar liquid state of frustrated spin chains
• The magnetic phase diagram of the frustrated spin chain compound linarite, PbCuSO${}_4$(OH)${}_2$, as seen by neutron diffraction and ${}^1$H-NMR
• Multiferroic phases of the frustrated quantum spin-chain compound linarite
• Thermal transport of the frustrated spin-chain mineral linarite: Magnetic heat transport and strong spin-phonon scattering
• Thermal effects versus spin nematicity in a frustrated spin-1/2 chain
• Dynamics in One-Dimensional Spin Systems - Density-Matrix Renormalization Group Study
• Electron spin resonance in spiral antiferromagnet linarite: theory and experiment

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