High-precision measurement of the thermal exponent for the three-dimensional XY universality class

Burovski, Evgeni and Machta, Jonathan and Prokof'ev, Nikolay and Svistunov, Boris (2006) High-precision measurement of the thermal exponent for the three-dimensional XY universality class. Physical review B, 74 (13): 132502. ISSN 1098-0121

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Abstract

Simulation results are reported for the critical point of the two-component ϕ4 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 et al. Phys. Rev. B 63 214503 (2001)] and marginally agrees with the most recent space-based measurements of the superfluid transition in 4He [ Lipa et al. Phys. Rev. B 68 174518 (2003)].