The Hintermann-Merlini-Baxter-Wu and the infinite-coupling-limit Ashkin-Teller models Articles uri icon

publication date

  • March 2013

start page

  • 492

end page

  • 538


  • 2


  • 868

International Standard Serial Number (ISSN)

  • 0550-3213

Electronic International Standard Serial Number (EISSN)

  • 1873-1562


  • 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 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.


  • baxter-wu model; ashkin-teller model; hintermann-merlini-baxter-wu model; infinite-coupling-limit ashkin-teller model; partial trace transformation; plane eulerian triangulation