Variance-reduced estimator of the connected two-point function in the presence of a broken Z(2)-symmetry.
basic_science · Level V
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- Record sourced from PubMed, PMID 27078325.
- Also identified by DOI 10.1103/PhysRevE.93.032140.
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Abstract
The exchange or geometric cluster algorithm allows us to define a variance-reduced estimator of the connected two-point function in the presence of a broken Z(2)-symmetry. We present numerical tests for the improved Blume-Capel model on the simple-cubic lattice. We perform simulations for the critical isotherm, the low-temperature phase at vanishing external field, and, for comparison, also the high-temperature phase. For the connected two-point function, a substantial reduction of the variance can be obtained, allowing us to compute the correlation length ξ with high precision. Based on these results, estimates for various universal amplitude ratios that characterize the universality class of the three-dimensional Ising model are computed.