Premium
The Critical Behaviour of an O ( N ) Heisenberg Model on Finite Threedimensional Lattices to the Order N −1
Author(s) -
Rühl W.
Publication year - 1987
Publication title -
fortschritte der physik/progress of physics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.469
H-Index - 71
eISSN - 1521-3978
pISSN - 0015-8208
DOI - 10.1002/prop.2190351003
Subject(s) - scaling , universality (dynamical systems) , heisenberg model , mathematics , inverse , coupling constant , extension (predicate logic) , renormalization group , heisenberg group , mathematical physics , physics , mathematical analysis , condensed matter physics , geometry , quantum mechanics , ferromagnetism , computer science , programming language
The O ( N ) classical Heisenberg model on three‐dimensional lattices that have a finite extension L in d and an infinite extension in 3− d dimensions is solved by the 1/ N expansion to the first non‐leading order. The inverse correlation length and the magnetic field are studied close to the critical point as functions of the coupling constant, the magnetization, and the finite extension. Scaling and universality are verified. The scaling functions are decomposed in their universal and their nonuniversal parts.