Statistical mechanics of one-dimensional s=1/2 anisotropic XY model in transverse field with Dzyaloshinskii-Moriya interaction

For 1D s=1/2 anisotropic XY model in transverse field with Dzyaloshinskii-Moriya interaction using Jordan-Wigner transformation the thermodynamical functions, static spin correlation functions, transverse dynamical spin correlation function and connected with it transverse dynamical susceptibility have been obtained. It has been shown that Dzyaloshinskii-Moriya interaction essentially influences the calculated quantities.