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Spin dynamics of a one-dimensional spin-1/2 fully anisotropic Ising-like antiferromagnet in a transverse magnetic field

We consider the one-dimensional Ising-like fully anisotropic S = 1/2 Heisenberg antiferromagnetic Hamiltonian and study the dynamics of domain wall excitations in the presence of a transverse magnetic field hx. We obtain dynamical spin correlation functions along the magnetic field, Sxx(q,ω), and perpendicular to it, Syy(q,ω). It is shown that the line shapes of Sxx(q,ω) and Syy(q,ω) are purely symmetric at the zone boundary. It is observed in Syy(q,ω) for π/2<q<π that the spectral weight moves toward the low-energy side with the increase of hx. This model is applicable to the study of the spin dynamics of CsCoCl3 in the presence of weak interchain interactions.