{ "id": "cond-mat/0605083", "version": "v1", "published": "2006-05-03T09:57:07.000Z", "updated": "2006-05-03T09:57:07.000Z", "title": "The critical exponents of the superfluid transition in He4", "authors": [ "Massimo Campostrini", "Martin Hasenbusch", "Andrea Pelissetto", "Ettore Vicari" ], "comment": "45 pages, 16 figs", "journal": "Phys.Rev. B74 (2006) 144506", "doi": "10.1103/PhysRevB.74.144506", "categories": [ "cond-mat.stat-mech", "hep-lat" ], "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.", "revisions": [ { "version": "v1", "updated": "2006-05-03T09:57:07.000Z" } ], "analyses": { "subjects": [ "67.40.-w", "64.60.Fr", "05.70.Jk" ], "keywords": [ "superfluid transition", "critical exponents", "three-dimensional xy universality class", "specific-heat exponent alpha disagrees", "high-statistics monte carlo simulations" ], "tags": [ "journal article" ], "publication": { "publisher": "APS", "journal": "Phys. Rev. B" }, "note": { "typesetting": "TeX", "pages": 45, "language": "en", "license": "arXiv", "status": "editable", "inspire": 715975 } } }