GROUND-STATE PROPERTIES OF CHIRAL XY-MODEL ON A ONE-DIMENSIONAL LATTICE

We investigate ground state properties of a chiral XY-model on a one-dimensional lattice in which we have two parameters: natural cantedness alpha and field strength gamma. We perform numerical calculations for the ground state energy and periodic configurations. We get the energy, its derivative in terms of alpha, the magnetization and the devil's staircase as functions of alpha for gamma = 0.2 and the energy and the magnetization as functions of gamma for alpha/2pi = 3/20. We obtain the phase diagram in the parameter space (alpha, gamma). An area-preserving map, which is obtained from the stationary condition for the energy, is numerically investigated in relation to periodic orbits giving the minimum energy. The exact solutions for the energy and periodic orbits are given for winding numbers 0, 1/4 and 1/6.