New universality class for the three-dimensional XY model with correlated impurities: Application to $^4$He in aerogels

Details New universality class for the three-dimensional XY model with correlated impurities: Application to $^4$He in aerogels New universality class for the three-dimensional XY model with correlated impurities: Application to $^4$He in aerogels

2003-03-21

arxiv.org/abs/cond-mat/0303470v2

Phys. Rev. Lett. 90, 170602 (2003)

Physics

Condensed Matter

Statistical Mechanics

4 pages, 4 figures, submitted to Phys. Rev. Lett

Scientific paper

10.1103/PhysRevLett.90.170602

Encouraged by experiments on $^4$He in aerogels, we confine planar spins in the pores of simulated aerogels (diffusion limited cluster-cluster aggregation) in order to study the effect of quenched disorder on the critical behavior of the three-dimensional XY model. Monte Carlo simulations and finite-size scaling are used to determine critical couplings $K_c$ and exponents. In agreement with experiments, clear evidence of change in the thermal critical exponents $\nu$ and $\alpha$ is found at nonzero volume fractions of impurities. These changes are explained in terms of {\it hidden} long-range correlations within disorder distributions.

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