HIGH-TEMPERATURE SERIES EXPANSIONS FOR THE SPIN-1/2 HEISENBERG MODEL BY THE METHOD OF IRREDUCIBLE REPRESENTATIONS OF THE SYMMETRIC GROUP
摘要：
We show how the partition functions for finite clusters with spin- 1/2 Heisenberg interactions may be computed efficiently and generally to any desired number of powers in reciprocal temperature. As an example, we have expanded the zero-magnetic-field free energy to the twenty-first power for the linear Heisenberg model and for nonzero magnetic field give an expression good through the tenth power. We introduce the concept of the two-point Padé approximant and use it to analyze the energy for the linear Heisenberg model.
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关键词：
physics general energy ferromagnetic materials heisenberg model high temperature magnetic fields magnetism numericals partition function
DOI：
10.1103/PhysRev.135.A1272
被引量：
年份：
1964
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