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The critical exponents of the superfluid transition in He4

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arxiv cond-mat/0605083 v1 pith:L3QNR7DK submitted 2006-05-03 cond-mat.stat-mech hep-lat

Massimo Campostrini , Martin Hasenbusch , Andrea Pelissetto , Ettore Vicari This is my paper · ORCID
classification cond-mat.stat-mechhep-lat
keywords alphasuperfluidtransitioncriticalestimatesexponentsscalingalong
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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.

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Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. OpenAlex reports about 266 citations worldwide. Full citation record

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    Flat membrane-Dirac systems asymptotically decouple at charge neutrality; finite-momentum rippling realizes either Wilson-Fisher criticality with spectator fermions or, when the ripple carries Kekulé mass quantum numb...

  3. Eliminating leading and subleading corrections to scaling in the three-dimensional XY universality class

    cond-mat.stat-mech 2025-07 accept novelty 6.0 of 10

    Tuning the ratio of two couplings in a cubic-lattice clock model removes the leading and shrinks the subleading corrections to scaling, yielding eta = 0.03816(2) and 1/nu = 1.48872(5).

  4. Coherent and dissipative dynamics at quantum phase transitions

    cond-mat.stat-mech 2021-03 unverdicted novelty 2.0 of 10

    A review of equilibrium and dynamic scaling laws at quantum phase transitions, including quenches and dissipative effects treated as perturbations to critical regimes.

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