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

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 $\lambda {\varphi }^4$ 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.

8 pages, revtex

References in corpus (3)

• Improved high-temperature expansion and critical equation of state of three-dimensional Ising-like systems
• High precision Monte Carlo study of the 3D XY-universality class
• Spin dynamics simulation of the three-dimensional XY model: Structure factor and transport properties

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