Excitations and quasi-one-dimensionality in field-induced nematic and spin density wave states

Abstract

We study the excitation spectrum and dynamical response functions for several quasi-one-dimensional spin systems in magnetic fields without dipolar spin order transverse to the field. This includes both nematic phases, which harbor "hidden" breaking of spin-rotation symmetry about the field and have been argued to occur in high fields in certain frustrated chain systems with competing ferromagnetic and antiferromagnetic interactions, and spin density wave states, in which spin-rotation symmetry is truly unbroken. Using bosonization, field theory, and exact results on the integrable sine-Gordon model, we establish the collective mode structure of these states, and show how they can be distinguished experimentally.

20 pages, 5 figures

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• Competing spin liquids and hidden nematic order in spin ice with frustrated transverse exchange
• 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
• A Panoply of Orders from a Quantum Lifshitz Field Theory
• Lattice distortion effects on the frustrated spin-1 triangular-antiferromagnet A3NiNb2O9 (A = Ba, Sr and Ca)
• Evidence for a magnetic field-induced unconventional nematic state in the frustrated and anisotropic spin-chain cuprate LiCuSbO${}_4$
• NaCuMoO_4(OH) as a Candidate Frustrated J_1-J_2 Chain Quantum Magnet
• Magnetic Excitations of Spin Nematic State in Frustrated Ferromagnetic Chain
• Spin Density Wave versus Fractional Magnetization Plateau in a Triangular Antiferromagnet
• The dynamics of linarite: Observations of magnetic excitations
• Multipolar phase in frustrated spin-1/2 and 1 chains
• Quantum phase transitions in Heisenberg $J_1-J_2$ triangular antiferromagnet in a magnetic field
• Angular dependence of electron spin resonance for detecting quadrupolar liquid state of frustrated spin chains
• Electron spin resonance for the detection of long-range spin nematic order
• 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
• Multiple phase transitions and high-field quadrupolar order in a model for $\beta$-TeVO${}_4$
• 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)
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• Phase diagram of weakly coupled Heisenberg spin chains subject to a uniform Dzyaloshinskii-Moriya interaction
• 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
• Dynamics of Bound Magnon Pairs in the Quasi-One-Dimensional Frustrated Magnet LiCuVO_4
• 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
• Confinement of many-body Bethe strings
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• Spin-orbit interaction driven dimerization in one dimensional frustrated magnets
• Dynamical structure factors in the nematic phase of frustrated ferromagnetic spin chains
• 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
• Critical dielectric susceptibility at a magnetic BEC quantum critical point
• Truncated string state space approach and its application to nonintegrable spin-$\frac{1}{2}$ Heisenberg chain
• Large magnetic thermal conductivity induced by frustration in low-dimensional quantum magnets
• 1/5 and 1/3 magnetization plateaux in the spin 1/2 chain system YbAlO3
• Dynamics of quantum spin-nematics: Comparisons with canted antiferromagnets
• Nematic Tomonaga-Luttinger Liquid Phase in an $S=1/2$ Ferromagnetic-Antiferromagnetic Bond-Alternating Chain
• Narrowly avoided spin-nematic phase in BaCdVO(PO${}_4$)${}_2$: NMR evidence