Grimm, Uwe and Repetowicz, Przemyslaw
(2002).
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Abstract
We consider Ising models defined on periodic approximants of aperiodic graphs. The model contains only a single coupling constant and no magnetic field, so the aperiodicity is entirely given by the different local environments of neighbours in the aperiodic graph. In this case, the partition function zeros in the temperature variable, also known as the Fisher zeros, can be calculated by diagonalisation of finite matrices. We present the partition function zero patterns for periodic approximants of the Penrose and the Ammann-Beenker tiling, and derive precise estimates of the critical temperatures.
| Item Type: | Book Chapter |
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| ISBN: | 981-02-4887-3, 978-981-02-4887-1 |
| Extra Information: | Proceedings of the Second International Symposium
Kraków, Poland 18 - 21 July 2001 |
| Academic Unit/Department: | Mathematics, Computing and Technology > Mathematics and Statistics |
| Item ID: | 12352 |
| Depositing User: | Uwe Grimm |
| Date Deposited: | 21 Nov 2008 08:19 |
| Last Modified: | 02 Dec 2010 20:15 |
| URI: | http://oro.open.ac.uk/id/eprint/12352 |
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