Report
Potts critical frontiers of inhomogeneous and asymmetric bow-tie lattices
| العنوان: | Potts critical frontiers of inhomogeneous and asymmetric bow-tie lattices |
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| المؤلفون: | Scullard, Christian R., Jacobsen, Jesper Lykke |
| سنة النشر: | 2012 |
| المجموعة: | Mathematics Condensed Matter Mathematical Physics |
| مصطلحات موضوعية: | Condensed Matter - Statistical Mechanics, Mathematical Physics |
| الوصف: | We study the critical frontiers of the Potts model on two-dimensional bow-tie lattices with fully inhomogeneous coupling constants. Generally, for the Potts critical frontier to be found exactly, the underlying lattice must be a 3-uniform hypergraph. A more general class of lattices are the 4-uniform ones, with unit cells contained within four boundary vertices. We demonstrate that in some cases, such lattices can be decomposed into triangular cells, and solved using a modification of standard techniques. This leads to the exact inhomogeneous Potts critical frontiers on various lattices, such as the bow-tie lattice with five different couplings, and critical points for asymmetric bow-tie lattices. Comment: 12 pages, 10 figures, plus additional file SJ12_EPL.m containing additional formulas |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.1088/1751-8113/46/12/125006 |
| URL الوصول: | http://arxiv.org/abs/1210.7845 |
| رقم الانضمام: | edsarx.1210.7845 |
| قاعدة البيانات: | arXiv |
| DOI: | 10.1088/1751-8113/46/12/125006 |
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