Abstract
An n-component spin model, with the nearest-neighbour Hamiltonian H=-J Sigma (Si.Sj)-K Sigma (Si.Sj) 2, where Si is a discrete unit vector pointing only along one of the 2n cubic axes directions, is studied exactly at dimensions d=1 and d=1+ epsilon and approximately (using dedecoration renormalization group recursion relations) at d=2. The model exhibits four competing possible types of critical behaviour, related to the Ising model, to the n-state and 2n-state Potts models and to a 'new cubic' fixed point. For large n, at d=2, the last three types of behaviour show peculiarities which may be related to the transition becoming a first-order one.
Original language | English |
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Article number | 011 |
Pages (from-to) | 389-398 |
Number of pages | 10 |
Journal | Journal of Physics A: General Physics |
Volume | 10 |
Issue number | 3 |
DOIs | |
State | Published - 1 Dec 1977 |
Externally published | Yes |
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- General Physics and Astronomy
- Mathematical Physics