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The non-equilibrium annealing of structural disorder in a two-dimensional XY-model leads to coarsening of defects clusters in a cores of spin vortices. We revealed the effect of inertial growth of the clusters in coarsening dynamic regime. The calculated transverse stiffness $rho(p,T)$ of the system in the high-temperature phase $T>T_{rm BKT}(p)$ becomes negative and has described by a power low $rho(p,T) sim T^{-kappa}$ with temperature independent exponent $kappa=kappa(p)$. The dynamical scaling lead to the dynamic dependence of the correlation length $xi sim (t / ln^{q} (t/t_{0}))^{1/z}$ which can be explained by a shift of spin vortices friction constant $gamma$ induced by annealed disorder.
In this Letter we will show that, in the presence of a properly modulated Dzyaloshinskii-Moriya (DM) interaction, a $U(1)$ vortex-antivortex lattice appears at low temperatures for a wide range of the DM interaction. Even more, in the region dominate
The celebrated Berezinskii-Kosterlitz-Thouless (BKT) phase transition refers to a topological transition characterized, e.g., by the dissociation of vortex-antivortex pairs in two-dimensional (2D) systems. Such unusual phase has been reported in vari
We study the 2d phase transition of a driven-dissipative system of exciton-polaritons under non-resonant pumping. Stochastic calculations are used to investigate the Berezinskii-Kosterlitz-Thouless-like phase diagram for experimentally realistic para
We develop a gauge theory of the critical behavior of the topological excitations-driven Berezinskii-Kosterlitz-Thouless (BKT) phase transition in the XY model with weak quenched disorder. We find that while in two-dimensions the liquid of topologica
The superfluid to normal fluid transition of dipolar bosons in two dimensions is studied throughout the whole density range using path integral Monte Carlo simulations and summarized in the phase diagram. While at low densities, we find good agreemen