Coates, Sam 
ORCID: 0000-0002-8408-1703 and Tamura, Ryuji
(2021)
High Dimensional Approach to Antiferromagnetic Aperiodic Spin Systems.
MATERIALS TRANSACTIONS, 62 (3).
pp. 307-311.
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Abstract
Monte Carlo approaches to aperiodic spin systems have found a range of antiferromagnetic ground states for both classical and quantum spins. In each case, the spin calculations have been undertaken on quasilattices in the appropriate dimension i.e. 1D for a Fibonacci chain, 2D for a Penrose tiling etc. Here we show that high dimension spin models can be calculated using the simplest of spin Hamiltonians, and that the projection of these high dimensional spins reproduces antiferromagnetic ground states in the 'correct' dimension. We also show a model for an atomistic antiferromagnetic quasicrystal, as derived using this method.
| Item Type: | Article |
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| Uncontrolled Keywords: | antifermmagnetic, quasicrystal, simulation, magnetism, aperiodicity |
| Divisions: | Faculty of Science and Engineering > School of Physical Sciences |
| Depositing User: | Symplectic Admin |
| Date Deposited: | 14 Nov 2023 10:38 |
| Last Modified: | 25 Mar 2024 15:31 |
| DOI: | 10.2320/matertrans.MT-MB2020010 |
| Related URLs: | |
| URI: | https://livrepository.liverpool.ac.uk/id/eprint/3176788 |
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