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High Precision Measurement of the Thermal Exponent for the Three-Dimensional XY Universality Class

Evgeni Burovski·Jonathan Machta·Nikolay Prokof'ev·Boris Svistunov
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Abstract

Simulations results are reported for critical point of the two-component $ϕ^4$ field theory. The correlation length exponent is measured to high precision with the result $ν=0.6717(3)$. This value is in agreement with recent simulation results [Campostrini \textit{et al}., Phys. Rev. B \textbf{63}, 214503 (2001)], and marginally agrees with the most recent space-based measurements of the superfluid transition in $^4$He [Lipa \textit{et al}., Phys. Rev. B \textbf{68}, 174518 (2003)].

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Evgeni Burovski, Jonathan Machta, Nikolay Prokof'ev, Boris Svistunov. 2006-08-04. High Precision Measurement of the Thermal Exponent for the Three-Dimensional XY Universality Class. https://doi.org/10.1103/physrevb.74.132502

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