The dynamical spin structure factor for the anisotropic spin-1/2 Heisenberg chain

Details The dynamical spin structure factor for the anisotropic spin-1/2 Heisenberg chain The dynamical spin structure factor for the anisotropic spin-1/2 Heisenberg chain

2006-03-27

arxiv.org/abs/cond-mat/0603681v2

Phys. Rev. Lett. 96, 257202 (2006)

Physics

Condensed Matter

Strongly Correlated Electrons

4 pages, 3 figures, published version

Scientific paper

10.1103/PhysRevLett.96.257202

The longitudinal spin structure factor for the XXZ-chain at small wave-vector q is obtained using Bethe Ansatz, field theory methods and the Density Matrix Renormalization Group. It consists of a peak with peculiar, non-Lorentzian shape and a high-frequency tail. We show that the width of the peak is proportional to q^2 for finite magnetic field compared to q^3 for zero field. For the tail we derive an analytic formula without any adjustable parameters and demonstrate that the integrability of the model directly affects the lineshape.

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