Critical behavior of the three-dimensional XY universality class
We improve the theoretical estimates of the critical exponents for the three-dimensional XY universality class. We find α=−0.0146(8), γ=1.3177(5), ν=0.67155(27), η=0.0380(4), β=0.3485(2), and δ=4.780(2). We observe a discrepancy with the most recent experimental estimate of α; this discrepancy calls...
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| Main Authors: | , , , , |
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| Format: | Article (Journal) |
| Language: | English |
| Published: |
2 May 2001
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| In: |
Physical review. B, Condensed matter and materials physics
Year: 2001, Volume: 63, Issue: 21, Pages: 1-28 |
| ISSN: | 1550-235X |
| DOI: | 10.1103/PhysRevB.63.214503 |
| Online Access: | Verlag, lizenzpflichtig, Volltext: https://doi.org/10.1103/PhysRevB.63.214503 Verlag, lizenzpflichtig, Volltext: https://link.aps.org/doi/10.1103/PhysRevB.63.214503 
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| Author Notes: | Massimo Campostrini, Martin Hasenbusch, Andrea Pelissetto, Paolo Rossi, and Ettore Vicari |
| Summary: | We improve the theoretical estimates of the critical exponents for the three-dimensional XY universality class. We find α=−0.0146(8), γ=1.3177(5), ν=0.67155(27), η=0.0380(4), β=0.3485(2), and δ=4.780(2). We observe a discrepancy with the most recent experimental estimate of α; this discrepancy calls for further theoretical and experimental investigations. Our results are obtained by combining Monte Carlo simulations based on finite-size scaling methods, and high-temperature expansions. Two improved models (with suppressed leading scaling corrections) are selected by Monte Carlo computation. The critical exponents are computed from high-temperature expansions specialized to these improved models. By the same technique we determine the coefficients of the small-magnetization expansion of the equation of state. This expansion is extended analytically by means of approximate parametric representations, obtaining the equation of state in the whole critical region. We also determine the specific-heat amplitude ratio. |
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| Item Description: | Gesehen am 06.07.2022 |
| Physical Description: | Online Resource |
| ISSN: | 1550-235X |
| DOI: | 10.1103/PhysRevB.63.214503 |