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Monte Carlo Simulations for Pure and Site‐Diluted Simple Cubic Classical Heisenberg Systems
Author(s) -
Jochims M.,
Holey T.,
Fähnle M.
Publication year - 1991
Publication title -
physica status solidi (b)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.51
H-Index - 109
eISSN - 1521-3951
pISSN - 0370-1972
DOI - 10.1002/pssb.2221660130
Subject(s) - monte carlo method , spins , cubic crystal system , ising model , heisenberg model , statistical physics , exponent , simple cubic lattice , simple (philosophy) , discretization , magnetization , lattice (music) , physics , mathematics , square lattice , condensed matter physics , quantum mechanics , mathematical analysis , ferromagnetism , statistics , linguistics , philosophy , epistemology , magnetic field , acoustics
A fully‐vectorized Monte Carlo programme is developed to investigate the critical behaviour of pure and site‐diluted classical Heisenberg systems on a simple cubic lattice of 32 3 spins. The finite‐size effect is much larger than that for the corresponding Ising model. It therefore must be suspected that the asymptotic critical regime could not be penetrated. An effective exponent of β = 0.33 for the root mean square magnetization is found both, for the pure and the site‐diluted case. The attempt to improve the efficiency of the computer programme by a discretization of the continuous Heisenberg model fails because of the very slow convergence with respect to the number of allowed spin orientations.