Spin-Nematic and Spin-Density-Wave Orders in Spatially Anisotropic Frustrated Magnets in a Magnetic Field

Abstract

We develop a microscopic theory of finite-temperature spin-nematic orderings in three-dimensional spatially anisotropic magnets consisting of weakly-coupled frustrated spin-1/2 chains with nearest-neighbor and next-nearest-neighbor couplings in a magnetic field. Combining a field theoretical technique with density-matrix renormalization group results, we complete finite-temperature phase diagrams in a wide magnetic-field range that possess spin-bond-nematic and incommensurate spin-density-wave ordered phases. The effects of a four-spin interaction are also studied. The relevance of our results to quasi-one-dimensional edge-shared cuprate magnets such as LiCuVO4 is discussed.

5 pages (2 column version), 4 figures, Revtex, published version

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Cited by in corpus (63)

• Unusual ordered phases of highly frustrated magnets: a review
• Nuclear magnetic resonance signature of the spin-nematic phase in LiCuVO${}_4$ at high magnetic fields
• 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${}_4$
• Ground States of Spin-1/2 Triangular Antiferromagnets in a Magnetic Field
• Excitations and quasi-one-dimensionality in field-induced nematic and spin density wave states
• Spin-stripe phase in a frustrated zigzag spin-1/2 chain
• Anisotropic spin fluctuations in the quasi one-dimensional frustrated magnet LiCuVO_4
• 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
• Nonequilibrium steady states in the Floquet-Lindblad systems: van Vleck's high-frequency expansion approach
• NaCuMoO_4(OH) as a Candidate Frustrated J_1-J_2 Chain Quantum Magnet
• Magnetic Excitations of Spin Nematic State in Frustrated Ferromagnetic Chain
• Magnetic anisotropy in the frustrated spin chain compound $\beta$-TeVO${}_4$
• Exact diagonalization and cluster mean-field study of triangular-lattice XXZ antiferromagnets near saturation
• Frustrated spin chain physics near the Majumdar-Ghosh point in szenicsite Cu${}_3$(MoO${}_4$)(OH)${}_4$
• Magnon Pairs and Spin-Nematic Correlation in the Spin-Seebeck Effect
• Spectral evidence of a ghostly transition: Theory of NMR 1/T_1 relaxation in a quantum spin nematic in applied magnetic field
• Direct observation of spin-quadrupolar excitations in Sr${}_2$CoGe${}_2$O${}_7$ by high field ESR
• Quantum spin nematic phase in a square-lattice iridate
• Dynamical spin structure factors of quantum spin nematic states
• The dynamics of linarite: Observations of magnetic excitations
• One- and three-dimensional quantum phase transitions and anisotropy in Rb${}_2$Cu${}_2$Mo${}_3$O${}_{12}$
• Control of Magnetic and Topological Orders with a DC Electric Field
• Angular dependence of electron spin resonance for detecting quadrupolar liquid state of frustrated spin chains
• Magnetic phase diagram of the strongly frustrated quantum spin chain system PbCuSO${}_4$(OH)${}_2$ in tilted magnetic fields
• Multiple phase transitions and high-field quadrupolar order in a model for $\beta$-TeVO${}_4$
• 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
• The magnetic phase diagram of the frustrated spin chain compound linarite, PbCuSO${}_4$(OH)${}_2$, as seen by neutron diffraction and ${}^1$H-NMR
• Possible quadrupolar nematic phase in the frustrated spin chain LiCuSbO${}_4$: an NMR investigation
• Thermodynamics of frustrated ferromagnetic spin-$1/2$ Heisenberg chains: The role of inter-chain coupling
• Rb-NMR study of the quasi-one dimensional competing spin-chain compound Rb2Cu2Mo3O12
• Collinear Spin-density-wave Order and Anisotropic Spin Fluctuations in the Frustrated $J_1$--$J_2$ Chain Magnet NaCuMoO${}_4$(OH)
• Pre-saturation phase in the frustrated ferro-antiferromagnet Pb${}_2$VO(PO${}_4$)${}_2$
• The origin of up-up-down-down magnetic order in Cu${}_2$GeO${}_4$
• Semiclassical analysis of a magnetization plateau in a 2D frustrated ferrimagnet
• Spontaneous dimerization, spin-nematic order, and deconfined quantum critical point in a spin-1 Kitaev chain with tunable single-ion anisotropy
• Magnetoelastic study on the frustrated quasi-one-dimensional spin-1/2 magnet LiCuVO${}_4$
• Field-induced spin nematic Tomonaga-Luttinger liquid of the $S=1/2$ spin ladder system with the anisotropic ferromagnetic rung interaction
• Elementary excitation in the spin-stripe phase in quantum chains
• Control of superexchange interactions with DC electric fields
• Magnetic phase diagram of the linear quantum ferro-antiferromagnet Cs${}_2$Cu${}_2$Mo${}_3$O${}_{12}$
• Dynamics of Bound Magnon Pairs in the Quasi-One-Dimensional Frustrated Magnet LiCuVO_4
• Spin-orbit interaction driven dimerization in one dimensional frustrated magnets
• 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
• 133Cs-NMR study on aligned powder of competing spin chain compound Cs2Cu2Mo3O12
• Quantum effects on pyrochlore higher-rank U(1) spin liquids: Pinch-line singularities, spin nematics, and connections to oxide materials
• Dynamical structure factors in the nematic phase of frustrated ferromagnetic spin chains
• Critical dielectric susceptibility at a magnetic BEC quantum critical point
• Quantum spin solver near saturation: QS${}_{}^3$
• Triplons, triplon pairs and dynamical symmetries in laser-driven Shastry-Sutherland magnets
• Quantum criticality and emergent orders in the spin-1 bilinear-biquadratic-Kitaev chain
• Field-induced quantum phase in a frustrated zigzag-square lattice
• Many body population trapping in ultracold dipolar gases
• Self-organised magnon condensation in quasi-1D edge-shared cuprates without external fields
• Dynamics of quantum spin-nematics: Comparisons with canted antiferromagnets
• Nematic Tomonaga-Luttinger Liquid Phase in an $S=1/2$ Ferromagnetic-Antiferromagnetic Bond-Alternating Chain
• Quantum phase with spontaneous translational symmetry breaking in an extended diamond chain
• Possible Bose-Einstein condensation of magnons in a S = 5/2 honeycomb lattice
• Spin nematic order and superconductivity in $J_1$-$J_2$ Kondo lattice model on square lattice
• Impurity effects in one dimensional spin nematic liquid
• Geometrically Frustrated Anisotropic Four-Leg Spin-$1/2$ Nanotube