Citation:
Huang, Y., Deng, Y., Jacobsen, J. L. & Salas, J. (2013). The Hintermann–Merlini–Baxter–Wu and the infinite-coupling-limit Ashkin–Teller models. Nuclear Physics B, 868(2), pp. 492–538.
xmlui.dri2xhtml.METS-1.0.item-contributor-funder:
Ministerio de Economía y Competitividad (España)
Sponsor:
The research of Y.H. and Y.D. is supported by National Nature Science Foundation of China under grants Nos. 11275185 and 10975127, and the Chinese Academy of Sciences. The work of J.L.J. was supported by the Agence Nationale de la Recherche (grant ANR-10-BLAN-0414: DIME), and the Institut Universitaire de France. The research of J.S. was supported in part by Spanish MEC grants FPA2009-08785 and MTM2011-24097 and by U.S. National Science Foundation grant PHY-0424082.
Project:
Gobierno de España. FPA2009-08785 Gobierno de España. MTM2011-24097
Keywords:
Baxter-Wu model
,
Ashkin-Teller model
,
Hintermann-Merlini-Baxter-Wu model
,
Infinite-Coupling-Limit Ashkin-Teller model
,
Partial trace transformation
,
Plane Eulerian triangulation
We show how the Hintermann–Merlini–Baxter–Wu model (which is a generalization of the well-known Baxter–Wu model to a general Eulerian triangulation) can be mapped onto a particular infinite-coupling-limit of the Ashkin–Teller model. We work out some mappings aWe show how the Hintermann–Merlini–Baxter–Wu model (which is a generalization of the well-known Baxter–Wu model to a general Eulerian triangulation) can be mapped onto a particular infinite-coupling-limit of the Ashkin–Teller model. We work out some mappings among these models, also including the standard and mixed Ashkin–Teller models. Finally, we compute the phase diagram of the infinite-coupling-limit Ashkin–Teller model on the square, triangular, hexagonal, and kagome lattices.[+][-]