Short-time dynamic behavior of the two-dimensional square lattice fully frustrated XY model

Abstract

The short-time dynamic behavior of the two-dimensional fully frustrated XY model on a square lattice with ferromagnetic and antiferromagnetic couplings arranged in a zigzag pattern near the critical temperature is investigated. The Ising-like phase transition temperature T c and all the static and dynamic critical exponents 2 β/ ν, ν and z are determined for two definitions of order parameter: the staggered chiral magnetization M χ and the staggered magnetization M st. We find that T c , 2 β/ ν and z are almost independent of the definition of order parameter: T c =0.4544(2), 2 β/ ν=0.265(4) and z=2.24(3) for M χ while they are 0.4546(2), 0.274(4) and 2.25(3) for M st, respectively. But ν depends on the definition of order parameter, ν=0.813(13) for M χ while it is 0.862(16) for M st.