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

J S Caux; J Mossel; I P Castillo

doi:10.1088/1742-5468/2008/08/P08006

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

J S Caux, J Mossel, I P Castillo

Mathematics

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32 Citations (Scopus)

Abstract

We consider the transverse dynamical structure factor of the anisotropic Heisenberg spin-1/2 chain (XXZ model) in the gapped antiferromagnetic regime (Δ>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 π/2-momentum line, its overall anisotropy dependence, and its contribution to sum rules.

Original language	English
Article number	P08006
Journal	Journal of Statistical Mechanics: Theory and Experiment
Volume	2008
Issue number	8
DOIs	https://doi.org/10.1088/1742-5468/2008/08/P08006
Publication status	Published - 1 Aug 2008

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AB - We consider the transverse dynamical structure factor of the anisotropic Heisenberg spin-1/2 chain (XXZ model) in the gapped antiferromagnetic regime (Δ>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 π/2-momentum line, its overall anisotropy dependence, and its contribution to sum rules.

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

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