Scaling behavior of the Heisenberg model in three dimensions.
We report on extensive numerical simulations of the three-dimensional Heisenberg model and its analysis through finite-size scaling of Lee-Yang zeros. Besides the critical regime, we also investigate scaling in the ferromagnetic phase. We show that, in this case of broken symmetry, the corrections to scaling contain information on the Goldstone modes. We present a comprehensive Lee-Yang analysis, including the density of zeros, and confirm recent numerical estimates for critical exponents.
Departamento de Ingeniería Eléctrica, Electrónica y Automática, Universidad de Extremadura, Avda Universidad s/n, Cáceres, 10071, Spain and Instituto de Biocomputación and Física de Sistemas Complejos (BIFI), Zaragoza, 50009, Spain.
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Gordillo-Guerrero
Applied Mathematics Research Centre, Coventry University, Coventry, CV1 5FB, England.
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Kenna
Instituto de Biocomputación and Física de Sistemas Complejos (BIFI), Zaragoza, 50009, Spain and Departamento de Física, Universidad de Extremadura, Avda Elvas s/n, Badajoz, 06071, Spain.
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Ruiz-Lorenzo
D008962:Models, Theoretical; D009010:Monte Carlo Method; D044367:Phase Transition; D013816:Thermodynamics