Phase Transition Free Regions in the Ising Model via the Kac–Ward Operator-Reference-Cited by-同舟云学术

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Phase Transition Free Regions in the Ising Model via the Kac–Ward Operator

Published:2014-05-09 Issue:3 Volume:331 Page:1071-1086
ISSN:0010-3616
Container-title:Communications in Mathematical Physics
language:en
Short-container-title:Commun. Math. Phys.

Author:

Lis Marcin

Publisher

Springer Science and Business Media LLC

Subject

Mathematical Physics,Statistical and Nonlinear Physics

Link

http://link.springer.com/content/pdf/10.1007/s00220-014-2061-6.pdf

Reference27 articles.

1. Aizenman M., Barsky D.J., Fernández R.: The phase transition in a general class of Ising-type models is sharp. J. Stat. Phys. 47(3–4), 343–374 (1987)

2. Baxter R.J.: Free-fermion, checkerboard and Z-invariant lattice models in statistical mechanics. Proc. Roy. Soc. Lond. Ser. A 404(1826), 1–33 (1986)

3. Baxter R.J.: Exactly solved models in statistical mechanics. Academic Press Inc. [Harcourt Brace Jovanovich Publishers], London (1982)

4. Boutillier C., de Tilière B.: The critical Z-invariant Ising model via dimers: the periodic case. Probab. Theory Relat. Fields 147(3–4), 379–413 (2010)

5. Boutillier C., de Tilière B.: The critical Z-invariant Ising model via dimers: locality property. Comm. Math. Phys. 301(2), 473–516 (2011)

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