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

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

2006-07-07

arxiv.org/abs/cond-mat/0607189v1

J.Stat.Mech.0608:P08019,2006

Physics

Condensed Matter

Statistical Mechanics

14 pages, 4 figures

Scientific paper

10.1088/1742-5468/2006/08/P08019

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 \beta_c recently obtained in cond-mat/0605083. We find R_{\alpha} = (1-A_+/A_-)/\alpha = 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.

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