O. Bolina et Jr. Parreira, THE GROUND-STATE OF THE XY MODEL IN A TRANSVERSE MAGNETIC-FIELD, Canadian journal of physics (Print), 76(7), 1998, pp. 507-513
We show that the ground state of the xp model (ferromagnetic or antife
rromagnetic) in a transverse magnetic field h - for any spin value, in
any dimension - is the state with all spins aligned antiparallel to t
he field when h is greater than some critical value h(c). In particula
r, for the spin-1/2 linear chain, we study the behavior of correlation
s as functions of the magnetic field.