Theoretical estimates of the critical exponents of the superfluid transition in by lattice methods
Physical Review B—Condensed Matter and Materials Physics, 2006•APS
We improve the theoretical estimates of the critical exponents for the three-dimensional XY
universality class that apply to the superfluid transition in He 4 along the λ line of its phase
diagram. We obtain the estimates α=− 0.0151 (3), ν= 0.6717 (1), η= 0.0381 (2), γ= 1.3178
(2), β= 0.3486 (1), and δ= 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 …
universality class that apply to the superfluid transition in He 4 along the λ line of its phase
diagram. We obtain the estimates α=− 0.0151 (3), ν= 0.6717 (1), η= 0.0381 (2), γ= 1.3178
(2), β= 0.3486 (1), and δ= 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 …
We improve the theoretical estimates of the critical exponents for the three-dimensional universality class that apply to the superfluid transition in along the line of its phase diagram. We obtain the estimates , , , , , and . Our results are obtained by finite-size scaling analyses of high-statistics Monte Carlo simulations up to lattice size 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 disagrees with the most recent experimental estimate at the superfluid transition of in a microgravity environment.
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