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

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

2005-07-14

arxiv.org/abs/cond-mat/0507352v3

Physics

Condensed Matter

Statistical Mechanics

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Scientific paper

10.1103/PhysRevB.74.132502

Simulations results are reported for critical point of the two-component $\phi^4$ field theory. The correlation length exponent is measured to high precision with the result $\nu=0.6717(3)$. 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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