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

physical review letters

New Universality Class for the Three-Dimensional<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>X</mml:mi><mml:mi>Y</mml:mi></mml:math>Model with Correlated Impurities: Application to<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mmultiscripts><mml:mrow><mml:mi mathvariant="normal">H</mml:mi><mml:mi mathvariant="normal">e</mml:mi></mml:mrow><mml:mprescripts /><mml:none /><mml:mn>4</mml:mn></mml:mmultiscripts></mml:math>in Aerogels

New Universality Class for the Three-DimensionalXYModel with Correlated Impurities: Application toHe4in Aerogels