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The four-state Potts model is sometimes known as the Ashkin–Teller model, after Julius Ashkin and Edward Teller, who considered an equivalent model in 1943. The Potts model is related to, and generalized by, several other models, including the XY model, the Heisenberg model and the N-vector model.
Abstract: The Ashkin–Teller model is a pair of interacting Ising models and has two parameters: J is a coupling constant in the Ising models and U describes the strength of the interaction between them.
Feb 9, 2024 · The Ashkin–Teller model is a pair of interacting Ising models and has two parameters: J is a coupling constant in the Ising models and U describes the strength of the interaction between them. In the ferromagnetic case $$J,U>0$$ on the square lattice, we establish a complete phase diagram conjectured in physics in 1970s (by Kadanoff ...
The Ashkin–Teller model is a pair of interacting Ising models and has two parameters: J is a coupling constant in the Ising models and U describes the strength of the interaction between them.
- Yacine Aoun, Moritz Dober, Alexander Glazman
- Commun Math Phys. 2024; 405(2): 37.
- 10.1007/s00220-023-04925-0
- 2024
Nov 15, 2023 · The global phase diagrams of the Ashkin–Teller model are calculated in d = 2 and 3 by renormalization-group theory that is exact on the hierarchical lattice and approximate on the recently improved Migdal–Kadanoff procedure.
Jan 25, 2023 · Phase diagram of the Ashkin-Teller model. The Ashkin-Teller model is a pair of interacting Ising models and has two parameters: J is a coupling constant in the Ising models and U describes the strength of the interaction between them.
Oct 19, 2023 · In the regime with a continuously vary-ing correlation length exponent long distance properties ν, are controlled by the physics of the Ashkin-Teller fixed line [19–21], for which the value of ν serves as a con-venient universal coordinate [7].
