A Monte Carlo study of the three-dimensional XY universality class: universal amplitude ratios
We simulate lattice models in the three-dimensional XY universality class in the low and the high temperature phase. In addition to the XY model, we study the three-dimensional two-component ϕ4 model on the simple cubic lattice. The parameter of the ϕ4 model is chosen such that leading corrections t...
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| Main Author: | |
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| Format: | Article (Journal) |
| Language: | English |
| Published: |
12 December 2008
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| In: |
Journal of statistical mechanics: theory and experiment
Year: 2008, Issue: 12, Pages: 1-22 |
| ISSN: | 1742-5468 |
| DOI: | 10.1088/1742-5468/2008/12/P12006 |
| Online Access: | Verlag, lizenzpflichtig, Volltext: https://doi.org/10.1088/1742-5468/2008/12/P12006
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| Author Notes: | Martin Hasenbusch |
| Summary: | We simulate lattice models in the three-dimensional XY universality class in the low and the high temperature phase. In addition to the XY model, we study the three-dimensional two-component ϕ4 model on the simple cubic lattice. The parameter of the ϕ4 model is chosen such that leading corrections to scaling are small. This allows us to compute a number of universal amplitude ratios with unprecedented precision: Rϒ = 0.411(2), RB = 2.83(1), Rξ+ = 0.3562(10) and Rξ− = 0.850(5). These results can be compared with those obtained from other theoretical methods, such as field theoretic methods or the high temperature series expansion and also with experimental results for the λ-transition of 4He. |
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| Item Description: | Gesehen am 09.09.2022 |
| Physical Description: | Online Resource |
| ISSN: | 1742-5468 |
| DOI: | 10.1088/1742-5468/2008/12/P12006 |