Multi-magnon bound states in the frustrated ferromagnetic 1D chain

Abstract

We study a one-dimensional Heisenberg chain with competing ferromagnetic nearest-neighbor and antiferromagnetic next-nearest neighbor interactions in magnetic field. Starting from the fully polarized high-field state, we calculate the dispersions of the lowest-lying $n$-magnon excitations and the saturation field (n=2,3,4). We show that the lowest-lying excitations are always bound multi-magnon states with a total momentum of $\pi$ except for a small parameter range. We argue that bose condensation of the bound $n$ magnons leads to novel Tomonaga-Luttinger liquids with multi-polar correlations; nematic and triatic ordered liquids correspond to n=2 and n=3.

5 pages, 3 figures

References in corpus (9)

• Nematic order in square lattice frustrated ferromagnets
• Confirmation of a one-dimensional spin-1/2 Heisenberg system with ferromagnetic first-nearest-neighbor and antiferromagnetic second-nearest-neighbor interactions in Rb${}_2$Cu${}_2$Mo${}_3$O${}_{12}$
• Frustrated ferromagnetic spin-1/2 chain in a magnetic field: The phase diagram and thermodynamic properties
• Magnetic Properties of Zig-Zag Ladders
• Octupolar order in the multiple spin exchange model on a triangular lattice
• Field-induced chiral phase in isotropic frustrated spin chains
• Frustrated ferromagnetic spin-1/2 chain in the magnetic field
• Exact one- and two-particle excitation spectra of acute-angle helimagnets above their saturation magnetic field
• Magnetization jump in the XXZ chain with next-nearest-neighbor exchange

Cited by in corpus (103)

• 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
• Evidence of a bond-nematic phase in LiCuVO4
• 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${}_4$
• NMR relaxation rate and dynamical structure factors in nematic and multipolar liquids of frustrated spin chains under magnetic fields
• Quantum Magnetism in Minerals
• Phase diagram of an anisotropic frustrated ferromagnetic spin-1/2 chain in a magnetic field: a density matrix renormalization group study
• Magnetic properties and revisited exchange integrals of the frustrated chain cuprate PbCuSO${}_4$(OH)${}_2$ - linarite
• Thermodynamics of multiferroic spin chains
• Magnetic phase diagram of the spin-1/2 antiferromagnetic zigzag ladder
• Excitation of local magnetic moments by tunnelling electrons
• Magnetic behavior of volborthite Cu3V2O7(OH)2(H2O)2 determined by coupled trimers rather than frustrated chains
• Efimov effect in quantum magnets
• Field and temperature dependence of the NMR relaxation rate in the magnetic quadrupolar liquid phase of spin-1/2 frustrated ferromagnetic chains
• Thermodynamics of a one-dimensional frustrated spin-1/2 Heisenberg ferromagnet
• Anisotropic spin fluctuations in the quasi one-dimensional frustrated magnet LiCuVO_4
• Phase diagram and continuous pair-unbinding transition of the bilinear-biquadratic S=1 Heisenberg chain in a magnetic field
• Saturation field of frustrated chain cuprates: broad regions of predominant interchain coupling
• Spin Density Wave in Insulating Ferromagnetic Frustrated Chain LiCuVO${}_4$
• Ghost in the machine: Theory of inelastic neutron scattering in a field-induced spin-nematic state
• Nematic phase and phase separation near saturation field in frustrated ferromagnets
• On calculation of vector spin chirality for zigzag spin chains
• 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
• Evidence for a magnetic field-induced unconventional nematic state in the frustrated and anisotropic spin-chain cuprate LiCuSbO${}_4$
• Dynamical signatures of quasiparticle interactions in quantum spin chains
• High--field NMR of the quasi--1D antiferromagnet LiCuVO${}_4$
• NaCuMoO_4(OH) as a Candidate Frustrated J_1-J_2 Chain Quantum Magnet
• Magnetic Excitations of Spin Nematic State in Frustrated Ferromagnetic Chain
• Pulse and quench induced dynamical phase transition in a chiral multiferroic spin chain
• Unconventional Neel and dimer orders in a spin-1/2 frustrated ferromagnetic chain with easy-plane anisotropy
• Ground-state phases of the frustrated spin-1/2 $J_1$--$J_2$--$J_3$ Heisenberg ferromagnet ($J_1<0$) on the honeycomb lattice with $J_3=J_2>0$
• Helical multiferroics for electric field controlled quantum information processing
• Frustrated spin chain physics near the Majumdar-Ghosh point in szenicsite Cu${}_3$(MoO${}_4$)(OH)${}_4$
• Phases of Attractive Fermi Gases in Synthetic Dimensions
• Spectral evidence of a ghostly transition: Theory of NMR 1/T_1 relaxation in a quantum spin nematic in applied magnetic field
• Multipolar phase in frustrated spin-1/2 and 1 chains
• Putative spin-nematic phase in BaCdVO(PO${}_4$)${}_2$
• Orbital Arrangements and Magnetic Interactions in the Quasi-One-Dimensional Cuprates ACuMoO_4(OH) (A = Na, K)
• Spin nematic phase in (quasi-)one-dimensional frustrated magnet in strong magnetic field
• Coexistence of valence-bond formation and topological order in the Frustrated Ferromagnetic $J_1$-$J_2$ Chain
• Resonances in a dilute gas of magnons and metamagnetism of isotropic frustrated ferromagnetic spin chains
• Variety of order-by-disorder phases in the asymmetric $J_1-J_2$ zigzag ladder: From the delta chain to the $J_1-J_2$ chain
• Multi-magnon bound states in easy-axis ferromagnetic zigzag spin chain
• 1D Frustrated Ferromagnetic Model with Added Dzyaloshinskii-Moriya Interaction
• High order magnon bound states in the quasi-one-dimensional antiferromagnet $\alpha$-NaMnO${}_2$
• Magnetic structure of the spin-1/2 frustrated quasi-one-dimensional antiferromagnet Cu3Mo2O9: Appearance of a partial disordered state
• One- and three-dimensional quantum phase transitions and anisotropy in Rb${}_2$Cu${}_2$Mo${}_3$O${}_{12}$
• Topological Hybrids of Magnons and Magnon Bound Pairs
• Angular dependence of electron spin resonance for detecting quadrupolar liquid state of frustrated spin chains
• Field-driven quantum phase transitions in $S=1/2$ spin chains
• An Efficient Density Matrix Renormalization Group Algorithm for Chains with Periodic Boundary Condition
• The phase diagram of the extended anisotropic ferromagnetic-antiferromagnetic Heisenberg chain
• Linarite - a quasi-critical J${}_1$-J${}_2$ chain
• Electron spin resonance for the detection of long-range spin nematic order
• Possible quadrupolar nematic phase in the frustrated spin chain LiCuSbO${}_4$: an NMR investigation
• Rb-NMR study of the quasi-one dimensional competing spin-chain compound Rb2Cu2Mo3O12
• Magnetic Phase Diagram of Spin-1/2 Two-Leg Ladder with Four-Spin Ring Exchange
• Collinear Spin-density-wave Order and Anisotropic Spin Fluctuations in the Frustrated $J_1$--$J_2$ Chain Magnet NaCuMoO${}_4$(OH)
• Entanglement and level crossings in frustrated ferromagnetic rings
• Magnetization plateaus of spin-$\frac{1}{2}$ system on a 5/7 skewed ladder
• Metamagnetism and zero-scale-factor universality in the two-dimensional $J$-$Q$ model
• Exact solutions of few-magnon problems in the spin-$S$ periodic XXZ chain
• Spiral magnetic structure in spin-5/2 frustrated trimerized chains in SrMn3P4O14
• Two-photon driven magnon-pair resonance as a signature of spin-nematic order
• Magnetic solitons in frustrated ferromagnetic spin chain
• Semiclassical analysis of a magnetization plateau in a 2D frustrated ferrimagnet
• Magnetoelastic study on the frustrated quasi-one-dimensional spin-1/2 magnet LiCuVO${}_4$
• Dynamics of Bound Magnon Pairs in the Quasi-One-Dimensional Frustrated Magnet LiCuVO_4
• Magnetic phase diagram of the linear quantum ferro-antiferromagnet Cs${}_2$Cu${}_2$Mo${}_3$O${}_{12}$
• Control of superexchange interactions with DC electric fields
• Spin nematics in frustrated spin-dimer systems with bilayer structure
• Elementary excitation in the spin-stripe phase in quantum chains
• Quasi-1d quantum helimagnets: The fate of multipolar phases
• Transverse and longitudinal magnons in strongly anisotropic antiferromagnet FePSe3
• Pressure-induced phase transition in the $J_1$-$J_2$ square lattice antiferromagnet RbMoOPO${}_4$Cl
• Effects of Dzyaloshinskii-Moriya interactions in volborthite: Magnetic orders and thermal Hall effect
• Spin-orbit interaction driven dimerization in one dimensional frustrated magnets
• Refined Spin Wave Model and Multi-magnon Bound States in $L{i}_{2}Cu{O}_2$
• Electron spin resonance in spiral antiferromagnet linarite: theory and experiment
• Quantum phases of spin-1 system on 3/4 and 3/5 skewed ladders
• Ground-state phase structure of the spin-$\frac{1}{2}$ anisotropic planar pyrochlore
• Dynamical structure factors in the nematic phase of frustrated ferromagnetic spin chains
• 133Cs-NMR study on aligned powder of competing spin chain compound Cs2Cu2Mo3O12
• Decay rates and energies of free magnons and bound states in dissipative XXZ chains
• Quantum phases of a frustrated spin-1 system: The 5/7 skewed ladder
• Quantum spin solver near saturation: QS${}_{}^3$
• Magnetization jump in one dimensional $J-Q_2$ model with anisotropic exchange
• Dynamical quadrupole structure factor of frustrated ferromagnetic chain
• Large magnetic thermal conductivity induced by frustration in low-dimensional quantum magnets
• Few-magnon excitations in a frustrated spin-$S$ ferromagnetic chain with single-ion anisotropy
• Confinement and oscillating deconfinement crossover of two-magnon excitations in quantum spin chains quantified by spin entanglement entropy
• Magnetic excitations and transport properties in frustrated ferromagnetic chain
• Self-organised magnon condensation in quasi-1D edge-shared cuprates without external fields
• Incommensurate Matrix Product State for Quantum Spin Systems
• Dynamics of quantum spin-nematics: Comparisons with canted antiferromagnets
• Impurity effects in one dimensional spin nematic liquid
• Quantum Phase Transitions in Skewed Ladder Systems
• Longitudinal magnons in large-$S$ easy-axis magnets
• Inter-chain Interactions, Multi-magnon condensation and Strain effect in chain compound NaVOPO${}_4$
• Off-Diagonal Long-Range Order Implies Vanishing Charge Gap
• Exact solution of the two-magnon problem in the $k=-\pi /2$ sector of a finite-size anisotropic spin-1/2 frustrated ferromagnetic chain