2006/05/03 by Massimo Campostrini, Martin Hasenbusch, Andrea Pelissetto +1 · 1 citation
Economics, Econometrics and Finance · Physics and Astronomy · #Complex Systems and Time Series Analysis #Quantum, superfluid, helium dynamics #Theoretical and Computational Physics #cond-mat.stat-mech #hep-lat
paper · pdf · doi:10.1103/physrevb.74.144506
published as Phys.Rev. B74 (2006) 144506 · 45 pages, 16 figs
arxiv created 2006/05/03 · openalex publication_date 2006/10/06 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
We improve the theoretical estimates of the critical exponents for the three-dimensional XY universality class that apply to the superfluid transition in 4He along the \ensuremathλ line of its phase diagram. We obtain the estimates \ensuremathα=\ensuremath-0.0151(3), \ensuremathν=0.6717(1), \ensuremathη=0.0381(2), \ensuremathγ=1.3178(2), \ensuremathβ=0.3486(1), and \ensuremathδ=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 \ensuremathα disagrees with the most recent experimental estimate \ensuremathα=\ensuremath-0.0127(3) at the superfluid transition of 4He in a microgravity environment.