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| Main Author: | |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2310.10058 |
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| _version_ | 1866916079244148736 |
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| author | Wang, Athena |
| author_facet | Wang, Athena |
| contents | In this paper, we explore two different methods of finding the degrees of degeneracy for lattice model systems, specifically constructing one with a Fibonacci degree of degeneracy. We also calculate the number of ground states per site as the golden ratio $(ϕ)$ for the system that we constructed and extend our results to systems with $k-$Step Fibonacci degrees of degeneracy. Finally, I end with a few open questions that we may examine for future works. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2310_10058 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | A lattice model with Fibonacci degree of degeneracy Wang, Athena Mathematical Physics In this paper, we explore two different methods of finding the degrees of degeneracy for lattice model systems, specifically constructing one with a Fibonacci degree of degeneracy. We also calculate the number of ground states per site as the golden ratio $(ϕ)$ for the system that we constructed and extend our results to systems with $k-$Step Fibonacci degrees of degeneracy. Finally, I end with a few open questions that we may examine for future works. |
| title | A lattice model with Fibonacci degree of degeneracy |
| topic | Mathematical Physics |
| url | https://arxiv.org/abs/2310.10058 |