Evidence for a magnetic field-induced unconventional nematic state in the frustrated and anisotropic spin-chain cuprate LiCuSbO${}_4$

Abstract

Modern theories of quantum magnetism predict exotic multipolar states in weakly interacting strongly frustrated spin-1/2 Heisenberg chains with ferromagnetic nearest neighbor (NN) inchain exchange in high magnetic fields. Experimentally these states remained elusive so far. Here we report the evidence for a long-sought magnetic field-induced nematic state arising above a field of $\sim 13$ T in the edge-sharing chain cuprate LiSbCuO${}_4$ $\equiv$ LiCuSbO${}_4$. This interpretation is based on the observation of a field induced spin-gap in the measurements of the ${}^7$Li NMR spin relaxation rate $T_1^{-1}$ as well as a contrasting field-dependent power-law behavior of $T_1^{-1}$ vs. $T$ and is further supported by static magnetization and ESR data. An underlying theoretical microscopic approach favoring a nematic scenario is based essentially on the NN XYZ exchange anisotropy within a model for frustrated spin-1/2 chains. It is investigated by the DMRG technique. The employed exchange parameters are justified qualitatively by electronic structure calculations for LiCuSbO${}_4$.

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• Possible quadrupolar nematic phase in the frustrated spin chain LiCuSbO${}_4$: an NMR investigation
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• Spin-specific heat determination of the ratio of competing first- and second-neighbor exchange interactions in frustrated spin-$\frac{1}{2}$ chains
• Field-induced spin nematic Tomonaga-Luttinger liquid of the $S=1/2$ spin ladder system with the anisotropic ferromagnetic rung interaction
• Spin-orbit interaction driven dimerization in one dimensional frustrated magnets
• Pressure-induced phase transition in the $J_1$-$J_2$ square lattice antiferromagnet RbMoOPO${}_4$Cl
• Existence of two distinct valence bond solid states in the dimerized frustrated ferromagnetic $J_1$-$J_1^{\prime }$-$J_2$ chain
• Large magnetic thermal conductivity induced by frustration in low-dimensional quantum magnets
• Emergent Quadrupolar Order in the Spin-$1/2$ Kitaev-Heisenberg Model
• Dynamics of quantum spin-nematics: Comparisons with canted antiferromagnets
• Self-organised magnon condensation in quasi-1D edge-shared cuprates without external fields
• Proximate Tomonaga-Luttinger liquid in a spin-1/2 ferromagnetic XXZ chain compound
• Magnetic-field-induced reorientation in the SDW and the spin-stripe phases of the frustrated spin-1/2 chain compound $\beta$-TeVO${}_4$