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High-precision determination of the critical exponents for the lambda-transition of 4He by improved high-temperature expansion

Massimo Campostrini·Andrea Pelissetto·Paolo Rossi·Ettore Vicari
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Abstract

We determine the critical exponents for the XY universality class in three dimensions, which is expected to describe the $λ$-transition in ${}^4$He. They are obtained from the analysis of high-temperature series computed for a two-component $λϕ^4$ model. The parameter $λ$ is fixed such that the leading corrections to scaling vanish. We obtain $ν= 0.67166(55)$, $γ= 1.3179(11)$, $α=-0.0150(17)$. These estimates improve previous theoretical determinations and agree with the more precise experimental results for liquid Helium.

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Massimo Campostrini, Andrea Pelissetto, Paolo Rossi, Ettore Vicari. 1999-05-27. High-precision determination of the critical exponents for the lambda-transition of 4He by improved high-temperature expansion. https://doi.org/10.1103/physrevb.61.5905

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