|
| | | | |
| | | |
| Stat |
Members: 3645
Articles: 2'504'928
Articles rated: 2609
25 April 2024 |
|
| | | | |
|
Article overview
| |
|
|
Complex-Temperature Properties of the 2D Ising Model for Nonzero Magnetic Field | | Victor Matveev
; Robert Shrock
; | | Date: |
26 Jul 1995 | | Journal: | Phys.Rev. E53 (1996) 254-267 | | Subject: | cond-mat hep-lat | | Abstract: | We study the complex-temperature phase diagram of the square-lattice Ising model for nonzero external magnetic field $H$, i.e. for $0 le mu le infty$, where $mu=e^{-2eta H}$. We also carry out a similar analysis for $-infty le mu le 0$. The results for the interval $-1 le mu le 1$ provide a new way of continuously connecting the two known exact solutions of this model, viz., at $mu=1$ (Onsager, Yang) and $mu=-1$ (Lee and Yang). Our methods include calculations of complex-temperature zeros of the partition function and analysis of low-temperature series expansions. For real nonzero $H$, the inner branch of a limaçon bounding the FM phase breaks and forms two complex-conjugate arcs. We study the singularities and associated exponents of thermodynamic functions at the endpoints of these arcs. For $mu < 0$, there are two line segments of singularities on the negative and positive $u$ axis, and we carry out a similar study of the behavior at the inner endpoints of these arcs, which constitute the nearest singularities to the origin in this case. Finally, we also determine the exact complex-temperature phase diagrams at $mu=-1$ on the honeycomb and triangular lattices and discuss the relation between these and the corresponding zero-field phase diagrams. | | Source: | arXiv, cond-mat/9507120 | | Services: | Forum | Review | PDF | Favorites | |
|
|
No review found.
Did you like this article?
Note: answers to reviews or questions about the article must be posted in the forum section.
Authors are not allowed to review their own article. They can use the forum section.
browser Mozilla/5.0 AppleWebKit/537.36 (KHTML, like Gecko; compatible; ClaudeBot/1.0; +claudebot@anthropic.com)
|
| |
|
|
|
|
News, job offers and information for researchers and scientists:
| |
REGISTER