Theoretical estimates of the critical exponents of the superfluid transition in 4He by lattice methods
We improve the theoretical estimates of the critical exponents for the three-dimensional XY universality class that apply to the superfluid transition in 4He along the λ line of its phase diagram. We obtain the estimates α=−0.0151(3), ν=0.6717(1), η=0.0381(2), γ=1.3178(2), β=0.3486(1), and δ=4.780(1...
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| Main Authors: | , , , |
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| Format: | Article (Journal) |
| Language: | English |
| Published: |
6 October 2006
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| In: |
Physical review. B, Condensed matter and materials physics
Year: 2006, Volume: 74, Issue: 14, Pages: 1-18 |
| ISSN: | 1550-235X |
| DOI: | 10.1103/PhysRevB.74.144506 |
| Online Access: | Verlag, lizenzpflichtig, Volltext: https://doi.org/10.1103/PhysRevB.74.144506 Verlag, lizenzpflichtig, Volltext: https://link.aps.org/doi/10.1103/PhysRevB.74.144506 
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| Author Notes: | Massimo Campostrini, Martin Hasenbusch, Andrea Pelissetto, and Ettore Vicari |
| Summary: | We improve the theoretical estimates of the critical exponents for the three-dimensional XY universality class that apply to the superfluid transition in 4He along the λ line of its phase diagram. We obtain the estimates α=−0.0151(3), ν=0.6717(1), η=0.0381(2), γ=1.3178(2), β=0.3486(1), and δ=4.780(1). Our results are obtained by finite-size scaling analyses of high-statistics Monte Carlo simulations up to lattice size L=128 and resummations of 22nd-order high-temperature expansions of two improved models with suppressed leading scaling corrections. We note that our result for the specific-heat exponent α disagrees with the most recent experimental estimate α=−0.0127(3) at the superfluid transition of 4He in a microgravity environment. |
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| Item Description: | Im Titel ist die Zahl "4" hochgestellt Gesehen am 05.07.2022 |
| Physical Description: | Online Resource |
| ISSN: | 1550-235X |
| DOI: | 10.1103/PhysRevB.74.144506 |