The critical exponents of the superfluid transition in He4
By M. Campostrini, M. Hasenbusch, A. Pelissetto, E. Vicari. 2006
149 citations recorded by the source corpus.
We improve the theoretical estimates of the critical exponents for the three-dimensional XY universality class that apply to the superfluid transition in {sup 4}He 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 {sup 4}He in a microgravity environment.
Subfields: Atomic and Molecular Physics, and Optics, Condensed Matter Physics, Economics and Econometrics
View Paper: https://www.semanticscholar.org/paper/577f2a235f073d730e1b32943de7dbe08592983d
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In Atomic and Molecular Physics, and Optics
In Condensed Matter Physics
Citations in the corpus
- Topological entanglement entropy of a Bose-Hubbard spin liquid (2011, unknown): “The data scales very well with the dynamical exponent z =1 and the XY valu”
- Bootstrapping the O(N) archipelago (2015, unknown): “The 3d O(2) model (or XY model) has a beautiful experimental realization in superfluid (4)He [55] which has yielded results for ∆s that are in ∼ 8σ tension with the leading Monte Carlo and high temperature expansion computations [56].”
- Carving out OPE space and precise O(2) model critical exponents (2019, methodology): “For comparison in figure 8, we show the Monte Carlo and high temperature expansion result from [96] and more recent Monte Carlo result from [95].”