Corner transfer matrix renormalization group approach in the zoo of Archimedean lattices
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866916211159203840 |
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| author | Lukin, I. V. Sotnikov, A. G. |
| author_facet | Lukin, I. V. Sotnikov, A. G. |
| contents | We develop a new methodology to contract tensor networks within the corner transfer matrix renormalization group approach for a wide range of two-dimensional lattice geometries. We discuss contraction algorithms on the example of triangular, kagome, honeycomb, square-octagon, star, ruby, square-hexagon-dodecahedron, and dice lattices. As benchmark tests, we apply the developed method to the classical Ising model on different lattices and observe a remarkable agreement of the results with the available from the literature. The approach also shows the necessary potential to be applied to various quantum lattice models in a combination with the wave-function variational optimization schemes. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_07274 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Corner transfer matrix renormalization group approach in the zoo of Archimedean lattices Lukin, I. V. Sotnikov, A. G. Statistical Mechanics We develop a new methodology to contract tensor networks within the corner transfer matrix renormalization group approach for a wide range of two-dimensional lattice geometries. We discuss contraction algorithms on the example of triangular, kagome, honeycomb, square-octagon, star, ruby, square-hexagon-dodecahedron, and dice lattices. As benchmark tests, we apply the developed method to the classical Ising model on different lattices and observe a remarkable agreement of the results with the available from the literature. The approach also shows the necessary potential to be applied to various quantum lattice models in a combination with the wave-function variational optimization schemes. |
| title | Corner transfer matrix renormalization group approach in the zoo of Archimedean lattices |
| topic | Statistical Mechanics |
| url | https://arxiv.org/abs/2401.07274 |