Spinon Confinement and a Sharp Longitudinal Mode in Yb${}_2$Pt${}_2$Pb in Magnetic Fields

Abstract

The fundamental excitations in an antiferromagnetic chain of spins-1/2 are spinons, de-confined fractional quasiparticles that when combined in pairs, form a triplet excitation continuum. In an Ising-like spin chain the continuum is gapped and the ground state is N{é}el ordered. Here, we report high resolution neutron scattering experiments, which reveal how a magnetic field closes this gap and drives the spin chains in \YPP\ to a critical, disordered Luttinger-liquid state. In \YPP\ the effective spins-1/2 describe the dynamics of large, Ising-like Yb magnetic moments, ensuring that the measured excitations are exclusively longitudinal, which we find to be well described by time-dependent density matrix renormalization group calculations. The inter-chain coupling leads to the confinement of spinons, a condensed matter analog of quark confinement in quantum chromodynamics. Insensitive to transverse fluctuations, our measurements show how a gapless, dispersive longitudinal mode arises from confinement and evolves with magnetic order.

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• Confinement and bound states of bound states in a transverse-field two-leg Ising ladder
• Spin chain on a metallic surface: Dissipation-induced order vs. Kondo entanglement
• Platforms for the realization and characterization of Tomonaga-Luttinger liquids
• Experimental observation of magnetic dimers in diluted Yb:YAlO${}_3$
• Superconductivity in La${}_2$Ni${}_2$In
• Long-living prethermalization in nearly integrable spin ladders
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• High-temperature quantum coherence of spinons in a rare-earth spin chain
• Inhomogeneous spin excitations in weakly coupled spin-1/2 chains
• Physical and one-dimensional properties of single crystalline La${}_5$AgPb${}_3$