The three-dimensional XY universality class: A high precision Monte Carlo estimate of the universal amplitude ratio A_+/A_-

Abstract

We simulate the improved three-dimensional two-component phi^4 model on the simple cubic lattice in the low and the high temperature phase for reduced temperatures down to |T-T_c|/T_c \approx 0.0017 on lattices of a size up to 350^3. Our new results for the internal energy and the specific heat are combined with the accurate estimates of beta_c and data for the internal energy and the specific heat at β_c recently obtained in cond-mat/0605083. We find R_α = (1-A_+/A_-)/α= 4.01(5), where alpha is the critical exponent of the specific heat and A_{\pm} is the amplitude of the specific heat in the high and the low temperature phase, respectively.

14 pages, 4 figures

References in corpus (4)

• Critical Phenomena and Renormalization-Group Theory
• The critical exponents of the superfluid transition in He4
• Specific Heat of Liquid Helium in Zero Gravity very near the Lambda Point
• Universal amplitude ratios from numerical studies of the three-dimensional O(2) model

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• The thermodynamic Casimir effect in the neighbourhood of the lambda-transition: A Monte Carlo study of an improved three dimensional lattice model
• Precision calculation of universal amplitude ratios in $O(N)$ universality classes: Derivative Expansion results at order $\mathcal{O}({\partial }^4)$
• A Monte Carlo study of the three-dimensional XY universality class:Universal amplitude ratios
• Yet another method to compute the thermodynamic Casimir force in lattice models
• Kosterlitz-Thouless transition in thin films: A Monte Carlo study of three-dimensional lattice models
• The specific heat of thin films near the lambda-transition: A Monte Carlo study of an improved three-dimensional lattice model
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• Universality in the two-dimensional dilute Baxter-Wu model