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Research on the curie temperature of ferromagnetic system by Monte-Carlo algorithm

The Monte-Carlo algorithm is an effective method to study the Curie
 temperature of a ferromagnetic system related to its exchange constant,
 magnetic moment, and co-ordination number. Curie temperatures of the three
 types of ferromagnetic systems are calculated, e.g., the hexagonal crystal
 system, the tetragonal sys-tem, and the orthorhombic system. In order to
 make the calculated magnetic moment-temperature curve fit a steep slope,
 the size of the supercell of the ferro-magnetic system is selected as small
 as possible, and Monte-Carlo steps are per-formed 5000000 times at each
 temperature. The calculation reveals a significant result: the Curie
 temperature scales with the exchange constant and the square of the magnetic
 moment.