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

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

1999-05-27

arxiv.org/abs/cond-mat/9905395v1

Phys.Rev. B61 (2000) 5905-5908

Physics

Condensed Matter

Statistical Mechanics

8 pages, revtex

Scientific paper

10.1103/PhysRevB.61.5905

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.

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