A critical Ising model on the Labyrinth
Journal Article
·
· International Journal of Modern Physics B; (United States)
- Univ. Tuebingen (Germany). Inst. fuer Theoretische Physik
- Univ. van Amsterdam (Netherlands). Inst. voor Theoretische Fysica
- Australian National Univ., Canberra (Australia). Mathematics and Theoretical Physics
A zero-field Ising model with ferromagnetic coupling constants on the so-called Labyrinth tiling is investigated. Alternatively, this can be regarded as an Ising model on a square lattice with a quasi-periodic distribution of up to eight different coupling constants. The duality transformation on this tiling is considered and the self-dual couplings are determined. Furthermore, the authors analyze the subclass of exactly solvable models in detail parameterizing the coupling constants in terms of four rapidity parameters. For those, the self-dual couplings correspond to the critical points which, as expected, belong to the Onsager universality class.
- OSTI ID:
- 6578205
- Journal Information:
- International Journal of Modern Physics B; (United States), Vol. 8:25-26; ISSN 0217-9792
- Country of Publication:
- United States
- Language:
- English
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