Tracking the effects of interactions on spinons in gapless Heisenberg chains

Abstract

We consider the effects of interactions on the nature of spinon excitations in Heisenberg spin-1/2 chains. We explicitly compute the two-spinon part of the longitudinal structure factor of the infinite chain in zero field for all values of anisotropy in the gapless antiferromagnetic regime, via an exact algebraic approach. Our results allow us to quantitatively describe the behaviour of these fundamental excitations for cases ranging from free to fully coupled chains, thereby explicitly mapping the effects of `turning on the interactions' in a strongly-correlated system.

5 pages, 8 figures

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• Local density of states of the one-dimensional spinless fermion model
• Quantum phases of a frustrated four-leg spin tube
• Lattice Supersymmetry in the Open XXZ Model: An Algebraic Bethe Ansatz Analysis
• The dynamic structure factor in impurity-doped spin chains
• Adjacent Spin Operator Dynamical Structure Factor of the S=1/2 Heisenberg Chain
• Dynamical structure factors of the spin-1/2 XXX chain at finite magnetic field
• Bethe strings in the dynamical structure factor of the spin-1/2 Heisenberg XXX chain
• The role of q-spin singlet pairs of physical spins in the dynamical properties of the spin-1/2 Heisenberg-Ising XXZ chain
• High-temperature quantum coherence of spinons in a rare-earth spin chain
• Quantum critical dynamics for a prototype class of insulating antiferromagnets
• Universal quasi-Fermi liquid physics of one-dimensional interacting fermions
• Self-Consistent Random Phase Approximation from Projective Truncation Approximation Formalism