Dispersions of Many-Body Bethe strings

Abstract

Complex bound states of magnetic excitations, known as Bethe string, were predicted almost a century ago to exist in one-dimensional quantum magnets 1. The dispersions of the string states have so far remained the subject of intensive theoretical studies 2-7. By performing neutron scattering experiments on the one-dimensional Heisenberg-Ising antiferromagnet SrCo2V2O8 in high longitudinal magnetic fields, we reveal in detail the dispersion relations of the string states over the full Brillouin zone, as well as their magnetic field dependences. Furthermore the characteristic energy, the scattering intensity and linewidth of the observed string states exhibit excellent agreement with our precise Bethe Ansatz calculations. Our results establish the important role of string states in the quantum spin dynamics of one-dimensional systems, and will invoke studies of their dynamical properties in more general many-body systems.

Main manuscript: 6 pages, 4 figures, Supplementary information: 8 pages, 6 figures, 1 table

References in corpus (21)

• Mantid - Data Analysis and Visualization Package for Neutron Scattering and $\mu SR$ Experiments
• Quantum criticality in an Ising chain: experimental evidence for emergent E8 symmetry
• Form factors of the XXZ Heisenberg spin-1/2 finite chain
• Antiferromagnetic spin ladders: crossover between spin S = 1/2 and S = 1 chains
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• Magnetic correlations of the quasi-one-dimensional half-integer spin-chain antiferromagnets Sr$M_2$V${}_2$O${}_8$ ($M$ = Co, Mn)
• Gains from the upgrade of the cold neutron triple-axis spectrometer FLEXX at the BER-II reactor
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Cited by in corpus (28)

• Catching Bethe phantoms and quantum many-body scars: Long-lived spin-helix states in Heisenberg magnets
• Observation of E8 Particles in an Ising Chain Antiferromagnet
• Experimental Observation of Quantum Many-Body Excitations of $E_8$ Symmetry in the Ising Chain Ferromagnet CoNb${}_2$O${}_6$
• Dynamical signatures of quasiparticle interactions in quantum spin chains
• Emergent many-body composite excitations of interacting spin-1/2 trimers
• Magnetic excitations in the one-dimensional Heisenberg-Ising model with external fields and their experimental realizations
• Exact solutions of few-magnon problems in the spin-$S$ periodic XXZ chain
• Phase transitions and spin dynamics of the quasi-one dimensional Ising-like antiferromagnet BaCo${}_2$V${}_2$O${}_8$ in a longitudinal magnetic field
• Zigzag materials: selective interchain couplings control the coexistence of one-dimensional physics and deviations from it
• Field-induced antiferromagnetism and Tomonaga-Luttinger liquid behavior in the quasi-one-dimensional Ising-Antiferromagnet SrCo2V2O8
• Bethe strings in the dynamical structure factor of the spin-1/2 Heisenberg XXX chain
• Spinon continuum in the Heisenberg quantum chain compound Sr${}_2$V${}_3$O${}_9$
• The role of q-spin singlet pairs of physical spins in the dynamical properties of the spin-1/2 Heisenberg-Ising XXZ chain
• Confinement of many-body Bethe strings
• Tomonaga-Luttinger liquid and quantum criticality in spin-1/2 antiferromagnetic Heisenberg chain C14H18CuN4O10 via Wilson ratio
• Spin dynamics and 1/3 magnetization plateau in a coupled distorted diamond chain compound K2Cu3(MoO4)4
• Stable dynamic helix state in the nonintegrable XXZ Heisenberg model
• Inhomogeneous spin excitations in weakly coupled spin-1/2 chains
• Successive magnetic orderings in the Ising spin chain magnet DyNi${}_5$Ge${}_3$
• Truncated string state space approach and its application to nonintegrable spin-$\frac{1}{2}$ Heisenberg chain
• Bethe strings in the spin dynamical structure factor of the Mott-Hubbard phase in one-dimensional fermionic Hubbard model
• Ising spin-1/2 XXZ chain's quantum problems beyond the spinon paradigm
• Magnetic Ground State and Spin Excitations in the 2D Trimerized Collinear-II Lattice Antiferromagnet Li2Ni3P4O14
• Quantum spin dynamics of the honeycomb magnet K${}_2$Co${}_2$TeO${}_6$ in high magnetic fields
• Bound-state confinement after trap-expansion dynamics in integrable systems
• Fermionic Approach to Elementary Excitations and Magnetization Plateaus in an S=1/2 XX Hybrid Trimer-Dimer Chain
• Exploring Low-Dimensional Magnetism in Cobalt Vanadates, $A$CoV${}_2$O${}_7$~($A$~=~Ca, Sr) : Crystal Growth and Magnetic Properties of Effective Spin-1/2 Zigzag Chains
• Emergent quasi-particles of spin-1 trimer chain