Abstract
We improve the theoretical estimates of the critical exponents for the three-dimensional Heisenberg universality class. We find and We consider an improved lattice 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 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.
- Received 16 October 2001
DOI:https://doi.org/10.1103/PhysRevB.65.144520
©2002 American Physical Society