Finite-size scaling of wrapping probabilities gives Tc(XY)=2.2018441(5), Tc(Villain)=0.33306704(7), (t/U)c=0.0597291(8), nu=0.67183(18), and eta=0.03853(48) for the 3D U(1) universality class.
Worm Algorithm for Problems of Quantum and Classical Statistics
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This is a chapter of the multi-author book "Understanding Quantum Phase Transitions," edited by Lincoln Carr and published by Taylor and Francis. In this chapter, we give a general introduction to the worm algorithm and present important results highlighting the power of the approach
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High-precision Monte Carlo study of several models in the three-dimensional U(1) universality class
Finite-size scaling of wrapping probabilities gives Tc(XY)=2.2018441(5), Tc(Villain)=0.33306704(7), (t/U)c=0.0597291(8), nu=0.67183(18), and eta=0.03853(48) for the 3D U(1) universality class.