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| Main Authors: | , , , , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2412.19297 |
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| _version_ | 1866916765825499136 |
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| author | Bandini, Gabriele Venturelli, Davide Loos, Sarah A. M. Jelic, Asja Gambassi, Andrea |
| author_facet | Bandini, Gabriele Venturelli, Davide Loos, Sarah A. M. Jelic, Asja Gambassi, Andrea |
| contents | We study the behavior of the classical XY model on a two-dimensional square lattice, with interactions occurring within a vision cone of each spin. Via Monte Carlo simulations, we explore one non-reciprocal and two reciprocal implementations of these interactions. The corresponding energy involves couplings that depend non-trivially on the system's configuration, leading to both long-range and quasi-long-range ordered phases at low temperatures. Our results demonstrate that non-reciprocity is not essential for achieving long-range order at low temperatures. Using symmetry arguments, we provide a theoretical framework to explain these findings, and additionally we uncover an unexpected order-by-disorder transition. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_19297 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The XY model with vision cone: non-reciprocal vs. reciprocal interactions Bandini, Gabriele Venturelli, Davide Loos, Sarah A. M. Jelic, Asja Gambassi, Andrea Statistical Mechanics Soft Condensed Matter We study the behavior of the classical XY model on a two-dimensional square lattice, with interactions occurring within a vision cone of each spin. Via Monte Carlo simulations, we explore one non-reciprocal and two reciprocal implementations of these interactions. The corresponding energy involves couplings that depend non-trivially on the system's configuration, leading to both long-range and quasi-long-range ordered phases at low temperatures. Our results demonstrate that non-reciprocity is not essential for achieving long-range order at low temperatures. Using symmetry arguments, we provide a theoretical framework to explain these findings, and additionally we uncover an unexpected order-by-disorder transition. |
| title | The XY model with vision cone: non-reciprocal vs. reciprocal interactions |
| topic | Statistical Mechanics Soft Condensed Matter |
| url | https://arxiv.org/abs/2412.19297 |