The critical exponents of the superfluid transition in He4
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.
Keywords
Cite
@article{arxiv.cond-mat/0605083,
title = {The critical exponents of the superfluid transition in He4},
author = {Massimo Campostrini and Martin Hasenbusch and Andrea Pelissetto and Ettore Vicari},
journal= {arXiv preprint arXiv:cond-mat/0605083},
year = {2007}
}
Comments
45 pages, 16 figs