Abstract
Using a new method proposed by Fröhlich, Simon, and Spencer, we prove the existence of a phase transition near the displacive limit of a classical -component displacement model on a -dimensional () lattice. In certain cases, the proof can be extended for and . Moreover, we derive exact lower bounds for the critical temperature of the spin- () extension of the Blume-Capel model.
- Received 30 August 1976
DOI:https://doi.org/10.1103/PhysRevB.15.2694
©1977 American Physical Society