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- W2000480061 abstract "We improve the theoretical estimates of the critical exponents for the three-dimensional $mathrm{XY}$ universality class. We find $ensuremath{alpha}=ensuremath{-}0.0146(8),$ $ensuremath{gamma}=1.3177(5),$ $ensuremath{nu}=0.67155(27),$ $ensuremath{eta}=0.0380(4),$ $ensuremath{beta}=0.3485(2),$ and $ensuremath{delta}=4.780(2).$ We observe a discrepancy with the most recent experimental estimate of $ensuremath{alpha};$ 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." @default.
- W2000480061 created "2016-06-24" @default.
- W2000480061 creator A5001856784 @default.
- W2000480061 creator A5012202546 @default.
- W2000480061 creator A5016244981 @default.
- W2000480061 creator A5060319721 @default.
- W2000480061 creator A5065421685 @default.
- W2000480061 date "2001-05-02" @default.
- W2000480061 modified "2023-10-18" @default.
- W2000480061 title "Critical behavior of the three-dimensional<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML display=inline><mml:mi>XY</mml:mi></mml:math>universality class" @default.
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- W2000480061 doi "https://doi.org/10.1103/physrevb.63.214503" @default.
- W2000480061 hasPublicationYear "2001" @default.