Quantum Potts Models on the Sierpiński Pyramid
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arXiv
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| Main Authors: | , , , , , , |
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| Format: | Preprint |
| Published: |
2020
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| _version_ | 1866908413420634112 |
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| author | Krčmár, Roman Zelenayová, Mária Genzor, Jozef Caha, Libor Rapčan, Peter Nishino, Tomotoshi Gendiar, Andrej |
| author_facet | Krčmár, Roman Zelenayová, Mária Genzor, Jozef Caha, Libor Rapčan, Peter Nishino, Tomotoshi Gendiar, Andrej |
| contents | Phase transition of the two- and three-state quantum Potts models on the Sierpiński pyramid are studied by means of a tensor network framework, the higher-order tensor renormalization group method. Critical values of the transverse magnetic field and the magnetic exponent $β$ are evaluated. Despite the fact that the Hausdorff dimension of the Sierpiński pyramid is exactly two $( = \log_2^{~} 4)$, the obtained critical properties show that the effective dimension is lower than two. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2003_09604 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | Quantum Potts Models on the Sierpiński Pyramid Krčmár, Roman Zelenayová, Mária Genzor, Jozef Caha, Libor Rapčan, Peter Nishino, Tomotoshi Gendiar, Andrej Statistical Mechanics Computational Physics Phase transition of the two- and three-state quantum Potts models on the Sierpiński pyramid are studied by means of a tensor network framework, the higher-order tensor renormalization group method. Critical values of the transverse magnetic field and the magnetic exponent $β$ are evaluated. Despite the fact that the Hausdorff dimension of the Sierpiński pyramid is exactly two $( = \log_2^{~} 4)$, the obtained critical properties show that the effective dimension is lower than two. |
| title | Quantum Potts Models on the Sierpiński Pyramid |
| topic | Statistical Mechanics Computational Physics |
| url | https://arxiv.org/abs/2003.09604 |