Tensor network calculation of boundary and corner magnetization
Fuente:
arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866909654380969984 |
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| author | Krcmar, Roman Genzor, Jozef Gendiar, Andrej Nishino, Tomotoshi |
| author_facet | Krcmar, Roman Genzor, Jozef Gendiar, Andrej Nishino, Tomotoshi |
| contents | The Corner Transfer Matrix Renormalization Group (CTMRG) algorithm is modified to measure the magnetization at the boundary of the system, including the corners of the square-shaped lattice. Using automatic differentiation, we calculate the magnetization's first derivative, allowing us to determine the boundary critical exponent $β$ accurately. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_17194 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Tensor network calculation of boundary and corner magnetization Krcmar, Roman Genzor, Jozef Gendiar, Andrej Nishino, Tomotoshi Statistical Mechanics The Corner Transfer Matrix Renormalization Group (CTMRG) algorithm is modified to measure the magnetization at the boundary of the system, including the corners of the square-shaped lattice. Using automatic differentiation, we calculate the magnetization's first derivative, allowing us to determine the boundary critical exponent $β$ accurately. |
| title | Tensor network calculation of boundary and corner magnetization |
| topic | Statistical Mechanics |
| url | https://arxiv.org/abs/2506.17194 |