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The critical exponents of the superfluid transition in He4

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arxiv cond-mat/0605083 v1 pith:L3QNR7DK submitted 2006-05-03 cond-mat.stat-mech hep-lat

The critical exponents of the superfluid transition in He4

Massimo Campostrini , Martin Hasenbusch , Andrea Pelissetto , Ettore Vicari This is my paper
classification cond-mat.stat-mech hep-lat
keywords alphasuperfluidtransitioncriticalestimatesexponentsscalingalong
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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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