The critical exponents of the superfluid transition in He4

Campostrini, Massimo and Hasenbusch, Martin and Pelissetto, Andrea and Vicari, Ettore (2006) The critical exponents of the superfluid transition in He4. Physical review. B, Condensed matter and materials physics, 74 . p. 144506. ISSN 1550-235X

Abstract

We improve the theoretical estimates of the critical exponents for the three-dimensional XY universality class, which apply to the superfluid transition in He4 along the lambda-line of its phase diagram. We obtain the estimates alpha=-0.0151(3), nu=0.6717(1), eta=0.0381(2), gamma=1.3178(2), beta=0.3486(1), and delta=4.780(1). Our results are obtained by finite-size scaling analyses of high-statistics Monte Carlo simulations up to lattice size L=128 and resummations of 22nd-order high-temperature expansions of two improved models with suppressed leading scaling corrections. We note that our result for the specific-heat exponent alpha disagrees with the most recent experimental estimate alpha=-0.0127(3) at the superfluid transition of He4 in microgravity environment.

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