dorsal/arxiv
View SchemaA critical Ising model on the Labyrinth
| Authors | M. Baake, U. Grimm, R. J. Baxter |
|---|---|
| Categories | |
| ArXiv ID | solv-int/9902009 |
| URL | https://arxiv.org/abs/solv-int/9902009 |
| DOI | 10.1142/S0217979294001512 |
| Journal | Int. J. Mod. Phys. B 8 (1994) 3579-3600 |
Abstract
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, we analyze the subclass of exactly solvable models in detail parametrizing 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.
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"abstract": "A zero-field Ising model with ferromagnetic coupling constants on the\nso-called Labyrinth tiling is investigated. Alternatively, this can be regarded\nas an Ising model on a square lattice with a quasi-periodic distribution of up\nto eight different coupling constants. The duality transformation on this\ntiling is considered and the self-dual couplings are determined. Furthermore,\nwe analyze the subclass of exactly solvable models in detail parametrizing the\ncoupling constants in terms of four rapidity parameters. For those, the\nself-dual couplings correspond to the critical points which, as expected,\nbelong to the Onsager universality class.",
"arxiv_id": "solv-int/9902009",
"authors": [
"M. Baake",
"U. Grimm",
"R. J. Baxter"
],
"categories": [
"solv-int",
"nlin.SI"
],
"doi": "10.1142/S0217979294001512",
"journal_ref": "Int. J. Mod. Phys. B 8 (1994) 3579-3600",
"title": "A critical Ising model on the Labyrinth",
"url": "https://arxiv.org/abs/solv-int/9902009"
},
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"type": "Model",
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