Critical exponents and equation of state of the three-dimensional Heisenberg universality class

Details Critical exponents and equation of state of the three-dimensional Heisenberg universality class Critical exponents and equation of state of the three-dimensional Heisenberg universality class

2001-10-17

arxiv.org/abs/cond-mat/0110336v2

Phys.Rev. B65 (2002) 144520

Physics

Condensed Matter

Statistical Mechanics

40 pages, final version. In publication in Phys. Rev. B

Scientific paper

10.1103/PhysRevB.65.144520

We improve the theoretical estimates of the critical exponents for the three-dimensional Heisenberg universality class. We find gamma=1.3960(9), nu=0.7112(5), eta=0.0375(5), alpha=-0.1336(15), beta=0.3689(3), and delta=4.783(3). We consider an improved lattice phi^4 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 phi^4 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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