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

Campostrini, Massimo and Pelissetto, Andrea and Rossi, Paolo and Vicari, Ettore (2000) High-precision determination of the critical exponents for the lambda-transition of 4He by improved high-temperature expansion. Physical review. B, Condensed matter and materials physics, 61 . p. 5905. ISSN 1550-235X

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## Abstract

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

Item Type: Article Imported from arXiv Area02 - Scienze fisiche > FIS/02 - Fisica teorica, modelli e metodi matematici Dipartimenti (until 2012) > DIPARTIMENTO DI FISICA " E. FERMI" dott.ssa Sandra Faita 09 Apr 2015 15:24 09 Apr 2015 15:24 http://eprints.adm.unipi.it/id/eprint/1779

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