Kinetics of the two-dimensional long-range Ising model at low temperatures

We study the low-temperature domain growth kinetics of the two-dimensional Ising model with long-range coupling J(r)~r-(d+?), where d=2 is the dimensionality. According to the Bray-Rutenberg predictions, the exponent ? controls the algebraic growth in time of the characteristic domain size L(t), L(t)~t1/z, with growth exponent z=1+? for ?[removed]1. These results hold for quenches to a nonzero temperature T>0 below the critical temperature Tc. We show that, in the case of quenches to T=0, due to the long-range interactions, the interfaces experience a drift which makes the dynamics of the system peculiar. More precisely, we find that in this case the growth exponent takes the value z=4/3, independently of ?, showing that it is a universal quantity. We support our claim by means of extended Monte Carlo simulations and analytical arguments for single domains.