Influence of quenched dilution on the quasi-long-range ordered phase of the 2d XY model

Abstract

The influence of non magnetic impurities in the 2d XY model is investigated through Monte Carlo (MC) simulations. The general picture of the transition is fully understood from the Harris criterion which predicts that the universality class is unchanged, and the Berezinskii-Kosterlitz-Thouless description of the topological transition remains valid. We nevertheless address here the question about the influence of dilution on the quasi-long-range order at low temperatures. In particular, we study the asymptotic of the pair correlation function and report the MC estimates for the critical exponent $\eta$ at different dilutions. In the weak dilution region, our MC calculations are further supported by simple spin-wave-like calculations.

8 pages, 7 eps figures

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Cited by in corpus (16)

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• Disordered two-dimensional superconductors: roles of temperature and interaction strength
• First order phase transitions in classical lattice gas spin models
• The 2D XY model on a finite lattice with structural disorder: quasi-long-range ordering under realistic conditions
• Berezinskii-Kosterlitz-Thouless transition in two-dimensional lattice gas models
• The XY model with vision cone: non-reciprocal vs. reciprocal interactions
• Interplay of topological and structural defects in the 2D XY model
• Non-equilibrium vortex annealing of structural disorder in Berezinskii-Kosterlitz-Thouless dynamics of two-dimensional XY-model
• Effect of Disorder on the Superfluid Transition in Two-Dimensional Systems
• Spin-spin correlation function of the 2D XY model with weak site or bond dilution
• Perturbation expansion for the diluted two-dimensional XY model
• Relaxational processes in the one-dimensional Ising model with long-range interactions
• Spin vortices and vacancies: interactions and pinning on a square lattice