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

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

2008-06-18

arxiv.org/abs/0806.3069v1

J. Stat. Mech. (2008) P08006

Physics

Condensed Matter

Strongly Correlated Electrons

19 pages, 6 figures

Scientific paper

10.1088/1742-5468/2008/08/P08006

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.

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