Confinement of many-body Bethe strings

Abstract

Based on Bethe-ansatz approach and inelastic neutron scattering experiments, we reveal evolution of confinement of many-body Bethe strings in ordered regions of quasi-one-dimensional antiferromagnet $\mathrm{YbAl}{\mathrm{O}}_3$. In the antiferromagnetic phase, the spin dynamics is dominated by the confined length-1 Bethe strings, whose dominancy in the high-energy branch of the excitation spectrum yields to the confined length-2 Bethe strings when the material is tuned to the spin-density-wave phase. In the thermal-induced disordered region, the confinement effect disappears, and the system restores the conventional quantum integrable physics of the one-dimensional Heisenberg model. Our results establish a unified picture based on Bethe string for the spin dynamics in different magnetic phases of $\mathrm{YbAl}{\mathrm{O}}_3$, and thus provide profound insight into the many-body quantum magnetism.

arXiv comment5 pages, 4 figures

References in corpus (25)

• Mantid - Data Analysis and Visualization Package for Neutron Scattering and $\mu SR$ Experiments
• Fractional spinon excitations in the quantum Heisenberg antiferromagnetic chain
• The new Cold Neutron Chopper Spectrometer at the Spallation Neutron Source - Design and Performance
• HORACE: software for the analysis of data from single crystal spectroscopy experiments at time-of-flight neutron instruments
• An introduction to integrable techniques for one-dimensional quantum systems
• Confinement of fractional quantum number particles in a condensed matter system
• Experimental Observation of Bethe Strings
• The 4-spinon dynamical structure factor of the Heisenberg chain
• Topological quantum phase transition in the Ising-like antiferromagnetic spin chain BaCo${}_2$V${}_2$O${}_8$
• Spinon confinement in a quasi one dimensional anisotropic Heisenberg magnet
• Tomonaga-Luttinger Liquid Behavior and Spinon Confinement in YbAlO${}_3$
• The Cold Neutron Chopper Spectrometer at the Spallation Neutron Source - A Review of the first 8 Years of Operation
• Quasi-1D spin-1/2 Heisenberg magnets in their ordered phase: correlation functions
• Dynamically dominant excitations of string solutions in the spin-1/2 antiferromagnetic Heisenberg chain in magnetic fields
• Excitations and quasi-one-dimensionality in field-induced nematic and spin density wave states
• Dispersions of Many-Body Bethe strings
• Quantum Critical Dynamics of a Heisenberg-Ising Chain in a Longitudinal Field: Many-Body Strings versus Fractional Excitations
• The two-spinon transverse structure factor of the gapped Heisenberg antiferromagnetic chain
• From confined spinons to emergent fermions: Observation of elementary magnetic excitations in a transverse-field Ising chain
• Giant magnetic-field dependence of the coupling between spin Tomonaga-Luttinger liquids in BaCo2V2O8
• Dynamical signatures of quasiparticle interactions in quantum spin chains
• Antiferromagnetic ordering and dipolar interactions of YbAlO${}_3$
• One-dimensional Quantum Spin Dynamics of Bethe String States
• Phase diagram and quantum criticality of Heisenberg spin chains with Ising-like interchain couplings -- Implication to YbAlO${}_3$
• Low-energy spin dynamics in rare-earth perovskite oxides

Cited by in corpus (3)

• Spinon continuum in the Heisenberg quantum chain compound Sr${}_2$V${}_3$O${}_9$
• Truncated string state space approach and its application to nonintegrable spin-$\frac{1}{2}$ Heisenberg chain
• 1/5 and 1/3 magnetization plateaux in the spin 1/2 chain system YbAlO3