Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2003-12-15
Phys.Rev. B70 (2004) 214519
Physics
Condensed Matter
Statistical Mechanics
19 pages, 4 figs
Scientific paper
10.1103/PhysRevB.70.214519
We study the nature of the Helium-3 superfluid transition from the normal to the planar phase, which is expected to be stabilized by the dipolar interactions. We determine the RG flow of the corresponding Landau-Ginzburg-Wilson theory by exploiting two fixed-dimension perturbative schemes: the massive zero-momentum scheme and the minimal-subtraction scheme without $\epsilon$ expansion. The analysis of the corresponding six-loop and five-loop series shows the presence of a stable fixed point in the relevant coupling region. Therefore, we predict the transition to be continuous. We also compute critical exponents. The specific-heat exponent $\alpha$ is estimated as $\alpha = 0.20(15)$, while the magnetic susceptibility and magnetization exponents $\gamma_H$ and $\beta_H$ for Helium 3 are $\gamma_H = -0.34(5)$, $\beta_H = 1.07(9)$.
Pelissetto Andrea
Prato Martino de
Vicari Ettore
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