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

R. G. Pereira 1 J. Sirker 2 J. -S. Caux 3 R. Hagemans 3 Jean Michel Maillet 4 S. R. White 5 I. Affleck 1 
1 Univ British Columbia, Dept Phys & Astron
2 Max Planck Institute for Solid State Research
3 IFTA - Institute for Theoretical Physics [Amsterdam]
4 Phys-ENS - Laboratoire de Physique de l'ENS Lyon
5 Department of Physics and Astronomy [Irvine]
Abstract : 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.
Keywords : Integrable models Bethe ansatz Correlation functions spin chain
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Submitted on : Monday, March 24, 2008 - 4:55:44 PM
Last modification on : Friday, December 18, 2020 - 5:30:02 PM

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R. G. Pereira, J. Sirker, J. -S. Caux, R. Hagemans, Jean Michel Maillet, et al.. The dynamical spin structure factor for the anisotropic spin-1/2 Heisenberg chain. Physical Review Letters, American Physical Society, 2006, 96 (257202), pp.257202. ⟨10.1103/PhysRevLett.96.257202⟩. ⟨ensl-00266542⟩

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