Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2000-10-24
Phys.Rev.B63:214503,2001
Physics
Condensed Matter
Statistical Mechanics
61 pages, 3 figures, RevTeX
Scientific paper
10.1103/PhysRevB.63.214503
We improve the theoretical estimates of the critical exponents for the three-dimensional XY universality class. We find alpha=-0.0146(8), gamma=1.3177(5), nu=0.67155(27), eta=0.0380(4), beta=0.3485(2), and delta=4.780(2). We observe a discrepancy with the most recent experimental estimate of alpha; this discrepancy calls for further theoretical and experimental investigations. Our results are obtained by combining Monte Carlo simulations based on finite-size scaling methods, and high-temperature expansions. Two improved models (with suppressed leading scaling corrections) are selected by Monte Carlo computation. The critical exponents are computed from high-temperature expansions specialized to these improved models. By the same technique we determine the coefficients of the small-magnetization expansion of the equation of state. This expansion is extended analytically by means of approximate parametric representations, obtaining the equation of state in the whole critical region. We also determine the specific-heat amplitude ratio.
Campostrini Massimo
Hasenbusch Martin
Pelissetto Andrea
Rossi Paolo
Vicari Ettore
No associations
LandOfFree
Critical behavior of the three-dimensional XY universality class does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Critical behavior of the three-dimensional XY universality class, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Critical behavior of the three-dimensional XY universality class will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-551558