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- W2020586458 abstract "We study the two-dimensional $mathrm{XY}$ model with quenched random phases by Monte Carlo simulation and finite-size scaling analysis. We determine the phase diagram of the model and study its critical behavior as a function of disorder and temperature. If the strength of the randomness is less than a critical value, ${ensuremath{sigma}}_{c},$ the system has a Kosterlitz-Thouless (KT) phase transition from the paramagnetic phase to a state with quasi-long-range order. Our data suggest that the latter exists down to $T=0$ in contradiction with theories that predict the appearance of a low-temperature reentrant phase. At the critical disorder ${T}_{mathrm{KT}}ensuremath{rightarrow}0$ and for $ensuremath{sigma}>{ensuremath{sigma}}_{c}$ there is no quasiordered phase. At zero temperature there is a phase transition between two different glassy states at ${ensuremath{sigma}}_{c}.$ The functional dependence of the correlation length on $ensuremath{sigma}$ suggests that this transition corresponds to the disorder-driven unbinding of vortex pairs." @default.
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- W2020586458 title "Phase transitions in the two-dimensionalXYmodel with random phases: A Monte Carlo study" @default.
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- W2020586458 doi "https://doi.org/10.1103/physrevb.56.2572" @default.
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