The two-spinon transverse structure factor of the gapped Heisenberg antiferromagnetic chain

Abstract

We consider the transverse dynamical structure factor of the anisotropic Heisenberg spin-1/2 chain (XXZ model) in the gapped antiferromagnetic regime ($\Delta >1$). Specializing to the case of zero field, we use two independent approaches based on integrability (one valid for finite size, the other for the infinite lattice) to obtain the exact two-spinon part of this correlator. We discuss in particular its asymmetry with respect to the $\pi /2$ momentum line, its overall anisotropy dependence, and its contribution to sum rules.

19 pages, 6 figures

References in corpus (14)

• Form factors of the XXZ Heisenberg spin-1/2 finite chain
• Correlation functions of the XXZ Heisenberg spin-1/2 chain in a magnetic field
• Computation of dynamical correlation functions of Heisenberg chains in a field
• Two-spinon dynamic structure factor of the one-dimensional S=1/2 Heisenberg antiferromagnet
• Computation of dynamical correlation functions of Heisenberg chains: the gapless anisotropic regime
• The 4-spinon dynamical structure factor of the Heisenberg chain
• Dynamical structure factor at small q for the XXZ spin-1/2 chain
• Exact two-spinon dynamical correlation function of the Heisenberg model
• Exact two-spin dynamic structure factor of the one-dimensional s=1/2 Heisenberg-Ising antiferromagnet
• Transition rates via Bethe ansatz for the spin-1/2 Heisenberg chain
• Quantum criticalities in a two-leg antiferromagnetic S=1/2 ladder induced by a staggered magnetic field
• Exact four-spinon dynamical correlation function of the Heisenberg model
• Evaluation of Dynamic spin structure factor for the spin-1/2 XXZ chain in a magnetic field
• Transition rates via Bethe ansatz for the spin-1/2 planar XXZ antiferromagnet

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