Spinons and helimagnons in the frustrated Heisenberg chain

Abstract

We investigate the dynamical spin structure factor S(q,w) for the Heisenberg chain with ferromagnetic nearest (J1<0) and antiferromagnetic next-nearest (J2>0) neighbor exchange using bosonization and a time-dependent density-matrix renormalization group algorithm. For |J1|<< J2 and low energies we analytically find and numerically confirm two spinon branches with different velocities and different spectral weights. Following the evolution of S(q,w) with decreasing J1/J2 we find that helimagnons develop at high energies just before entering the ferromagnetic phase. Furthermore, we show that a recent interpretation of neutron scattering data for LiCuVO4 in terms of two weakly coupled antiferromagnetic chains (|J_1|<< J2) is not viable. We demonstrate that the data are instead fully consistent with a dominant ferromagnetic coupling, J1/J2 ~ -2.

5 pages, 3 figures

References in corpus (14)

• Spin current and magneto-electric effect in non-collinear magnets
• "Deconfined" quantum critical points
• 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
• Correlation between spin helicity and electric polarization vector in quantum-spin chain magnet LiCu${}_2$O${}_2$
• Spectral functions in one-dimensional quantum systems at T>0
• Spinons and triplons in spatially anisotropic frustrated antiferromagnets
• The dynamical spin structure factor for the anisotropic spin-1/2 Heisenberg chain
• Frustrated ferromagnetic spin-1/2 chain in a magnetic field: The phase diagram and thermodynamic properties
• The J1-J2 model: First order phase transition versus deconfinement of spinons
• Switching the Ferroelectric Polarization by External Magnetic Fields in the Spin = 1/2 Chain Cuprate LiCuVO4
• Correlation functions and excitation spectrum of the frustrated ferromagnetic spin-1/2 chain in an external magnetic field
• Dynamical structure factor at small q for the XXZ spin-1/2 chain
• Spin-modulated quasi-1D antiferromagnet LiCuVO_4

Cited by in corpus (9)

• Exact description of the magnetoelectric effect in the spin-1/2 XXZ-chain with Dzyaloshinskii-Moriya interaction
• Quantum Monte Carlo solution of the dynamical mean field equations in real time
• Magnetic Excitations of Spin Nematic State in Frustrated Ferromagnetic Chain
• The dynamics of linarite: Observations of magnetic excitations
• Multipolar phase in frustrated spin-1/2 and 1 chains
• Magnetic excitations in quasi-one dimensional helimagnets: Magnon decays and in uence of the inter-chain interactions
• Effects of magnetic anisotropy on spin dynamics of ferromagnetic frustrated chain
• Electron spin resonance in spiral antiferromagnet linarite: theory and experiment
• Artificial Gauge Field Engineered Excited-State Topology: Control of Dynamical Evolution of Localized Spinons