Physical Review B
We study the quantum critical behavior of the one-dimensional, S = 1 XY model in the presence of a single-ion anisotropy. Using a path-integral approach, we obtain, at T = 0 and for a positive anisotropy constant, a classical free-energy functional that allows discussion of the critical properties. The rescaling of frequencies is governed by the critical exponent z = 1. Renormalization-group arguments reveal that at criticality the system belongs to the same universality class as the isotropic 2-d XY model.
Anisotropy; Quantum theory
Citation: Pilot Scholars Version (Modified MLA Style)
Bonfim, O. F. de Alcantara and Schneider, T., "Critical behavior of the one-dimensional S = 1 XY model with single-ion anisotropy" (1984). Physics Faculty Publications and Presentations. Paper 25.