Critical exponents and equation of state of the three-dimensional Heisenberg universality class
We improve the theoretical estimates of the critical exponents for the three-dimensional Heisenberg universality class. We find γ=1.3960(9), ν=0.7112(5), η=0.0375(5), α=−0.1336(15), β=0.3689(3), and δ=4.783(3). We consider an improved lattice φ4 Hamiltonian with suppressed leading scaling correction...
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| Main Authors: | , , , , |
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| Format: | Article (Journal) |
| Language: | English |
| Published: |
2 April 2002
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| In: |
Physical review. B, Condensed matter and materials physics
Year: 2002, Volume: 65, Issue: 14, Pages: 1-21 |
| ISSN: | 1550-235X |
| DOI: | 10.1103/PhysRevB.65.144520 |
| Online Access: | Verlag, lizenzpflichtig, Volltext: https://doi.org/10.1103/PhysRevB.65.144520 Verlag, lizenzpflichtig, Volltext: https://link.aps.org/doi/10.1103/PhysRevB.65.144520 
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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 Heisenberg universality class. We find γ=1.3960(9), ν=0.7112(5), η=0.0375(5), α=−0.1336(15), β=0.3689(3), and δ=4.783(3). We consider an improved lattice φ4 Hamiltonian with suppressed leading scaling corrections. Our results are obtained by combining Monte Carlo simulations based on finite-size scaling methods and high-temperature expansions. The critical exponents are computed from high-temperature expansions specialized to the φ4 improved model. 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 a number of universal amplitude ratios. |
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| Item Description: | Gesehen am 05.07.2021 |
| Physical Description: | Online Resource |
| ISSN: | 1550-235X |
| DOI: | 10.1103/PhysRevB.65.144520 |