The effects of the symmetric and antisymmetric anisotropies on the   dynamics of the spin-1/2 XY chain
  The dynamic properties of the spin-1/2 anisotropic XY chain with the Dzyaloshinskii-Moriya (DM) interaction in a transverse field are investigated. Using the Jordan-Wigner transformation, the dynamic structure factors of the model are evaluated rigorously (partially analytically and partially numerically). The effects of the DM interaction on the frequency shapes of the dynamic structure factors are discussed. 
O. Derzhko, T. Verkholyak, T. Krokhmalskii, H. B\"uttner