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

References in corpus (31)

• Ultracold atomic gases in optical lattices: mimicking condensed matter physics and beyond
• Real time evolution using the density matrix renormalization group
• Controlling Spin Exchange Interactions of Ultracold Atoms in Optical Lattices
• Time-dependent density-matrix renormalization-group using adaptive effective Hilbert spaces
• Counterflow Superfluidity of Two-Species Ultracold Atoms in a Commensurate Optical Lattice
• QKZ equation with |q|=1 and correlation functions of the XXZ model in the gapless regime
• Computation of dynamical correlation functions of Heisenberg chains in a field
• Ladders in a magnetic field: a strong coupling approach
• Dynamic response of one-dimensional interacting fermions
• The dynamical spin structure factor for the anisotropic spin-1/2 Heisenberg chain
• Two-spinon dynamic structure factor of the one-dimensional S=1/2 Heisenberg antiferromagnet
• The Magnetic Spin Ladder (C_{5}H_{12}N)_{2}CuBr_{4}: High Field Magnetization and Scaling Near Quantum Criticality
• Computation of dynamical correlation functions of Heisenberg chains: the gapless anisotropic regime
• Exact edge singularities and dynamical correlations in spin-1/2 chains
• The 4-spinon dynamical structure factor of the Heisenberg chain
• Long-distance asymptotics of spin-spin correlation functions for the XXZ spin chain
• Spectral function of spinless fermions on a one-dimensional lattice
• Direct Observation of Magnon Fractionalization in the Quantum Spin Ladder
• Using the average spectrum method to extract dynamics from quantum Monte Carlo simulations
• Exact two-spinon dynamical correlation function of the Heisenberg model
• Spin dynamics for bosons in an optical lattice
• Exact two-spin dynamic structure factor of the one-dimensional s=1/2 Heisenberg-Ising antiferromagnet
• Threshold singularities in the dynamic response of gapless integrable models
• The two-spinon transverse structure factor of the gapped Heisenberg antiferromagnetic chain
• Free Field Construction for Correlation Functions of the Eight-Vertex Model
• Spin diffusion and the anisotropic spin-1/2 Heisenberg chain
• Exact four-spinon dynamical correlation function of the Heisenberg model
• Free field construction for the eight-vertex model: representation for form factors
• The Vertex-Face Correspondence and Correlation Functions of the Fusion Eight-Vertex Model I: The General Formalism
• Spinon excitations in the XX chain: spectra, transition rates, observability
• Nearest neighbor two-point correlation function of the $Z$-invariant eight-vertex model

Cited by in corpus (16)

• Charge dynamics in half-filled Hubbard chains with finite on-site interaction
• Exact Form-Factor Results for the Longitudinal Structure Factor of the Massless XXZ Model in Zero Field
• Pseudoparticle approach to 1D integrable quantum models
• One-electron singular spectral features of the 1D Hubbard model at finite magnetic field
• 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