FIELD BEHAVIOR OF THE XY CHIRAL MODEL ON A CAYLEY TREE

In this paper we present a study of the XY chiral model on a Cayley tr ee in the presence of an external uniform magnetic field. We calculate the phase diagram at zero temperature from a corresponding 1D mapping . Ferromagnetic, commensurate and incommensurate modulated phases as w ell as chaotic structures are present in the zero temperature limit. I n this case we also obtain a devil's staircase and determine the route to chaos, which is in agreement with Feigenbaum's scenario. For finit e temperatures, the phase diagrams are obtained from a 2D mapping. The chaotic behaviour is present only at low temperatures.