Abstract
We investigate ground state properties of a one-dimensional quantum chiral XY -model in a magnetic field. Numerical calculations are carried out by using a method of density matrix renormalization group. We also analyze behaviors of perturbation series for the ground state energy. For a special case that the natural cantedness is π⁄2, a value of the critical magnetic field for saturation of magnetization is shown to be given exactly in terms of the smallest zero of the Bessel function J0(x ). We obtain the ground state phase diagram.