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

We study the low-temperature domain growth kinetics of two-dimensional Ising model with long-range coupling: $J(r) \sim r^{-(d+\sigma)}$, where $d=2$ is dimensionality. According to Bray-Rutenberg predictions, exponent $\sigma$ controls algebraic in time characteristic size $L(t)$, $L(t) t^{1/z}$, $z=1+\sigma$ for $\sigma <1$ and $z=2$ >1$. These results hold quenches a non-zero temperature $T>0$ below critical $T_c$. show that, case $T=0$, due interactions, interfaces experience drift which makes dynamics system peculiar. More precisely we find that this takes value $z=4/3$, independent $\sigma$, showing it universal quantity. support our claim by means extended Monte Carlo simulations analytical arguments simplified models.