Physics NotePublished
Z(6) Model: Criticality and Break-Collapse Method
A. M. Mariz; A. C. N. Magalhães; L. R. Silva; C. Tsallis
1989
Publication details
- Authors
- A. M. Mariz; A. C. N. Magalhães; L. R. Silva; C. Tsallis
- Type
- Physics Note
- Status
- Published
- Publication date
- 1989
- Description
- The phase diagram and thermal and crossover exponents of the Z(6) ferromagnet on the square lattice are calculated within a real-space renormalization group (RG) scheme. The obtained phase diagram (exhibiting 4 phases corresponding to Z(6), Z(3), Z(2) and completely broken symmetries) contains all exactly known critical points, and possibly is an excellent approximation everywhere except in the high-temperature region where a soft phase is expected to appear. However, all the obtained results are exact in the Wheatstone-bridge hierarchical lattice. In addition to these results, we present an operational procedure (the "break-collapse method") which considerably simplifies the exact calculation of two–spin correlation functions for arbitrary Z(6) two–rooted clusters (frequent in RG approaches).
- Year
- 1989
- Number
- CBPF-NF-041/89
- Linked to a thesis
- No
- Linked to a grant
- No