The critical exponents of the superfluid transition in He4

Details The critical exponents of the superfluid transition in He4 The critical exponents of the superfluid transition in He4

2006-05-03

arxiv.org/abs/cond-mat/0605083v1

Phys.Rev. B74 (2006) 144506

Physics

Condensed Matter

Statistical Mechanics

45 pages, 16 figs

Scientific paper

10.1103/PhysRevB.74.144506

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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