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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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Hauptverfasser: Campostrini, Massimo (VerfasserIn) , Hasenbusch, Martin (VerfasserIn) , Pelissetto, Andrea (VerfasserIn) , Rossi, Paolo (VerfasserIn) , Vicari, Ettore (VerfasserIn)
Dokumenttyp: Article (Journal)
Sprache:Englisch
Veröffentlicht: 2 April 2002
In: Physical review. B, Condensed matter and materials physics
Year: 2002, Jahrgang: 65, Heft: 14, Pages: 1-21
ISSN:1550-235X
DOI:10.1103/PhysRevB.65.144520
Online-Zugang:Verlag, lizenzpflichtig, Volltext: https://doi.org/10.1103/PhysRevB.65.144520
Verlag, lizenzpflichtig, Volltext: https://link.aps.org/doi/10.1103/PhysRevB.65.144520
Volltext
Verfasserangaben:Massimo Campostrini, Martin Hasenbusch, Andrea Pelissetto, Paolo Rossi, and Ettore Vicari
Beschreibung
Zusammenfassung: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.
Beschreibung:Gesehen am 05.07.2021
Beschreibung:Online Resource
ISSN:1550-235X
DOI:10.1103/PhysRevB.65.144520

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