Criticality in 1-dimensional field theories with mesoscopic, infinite range interactions
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866915794509627392 |
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| author | Langfeld, Kurt Turner, Amanda |
| author_facet | Langfeld, Kurt Turner, Amanda |
| contents | This research investigates a novel class of one-dimensional theories characterised by a distinctly defined infinite interaction range. We propose that such theories emerge naturally through a mesoscopic feedback mechanism. In this proof-of-concept study, we examine Ising-type models and a model with continuous O(3) symmetry, and demonstrate that the natural emergence of phase transitions, criticality, spontaneous symmetry breaking and previously unidentified universality classes is evident. The framework introduced here holds particular relevance for monolayer spintronics research, where the ultimate goal is to achieve a strong ferromagnetic order at room temperature. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_15095 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Criticality in 1-dimensional field theories with mesoscopic, infinite range interactions Langfeld, Kurt Turner, Amanda High Energy Physics - Theory Statistical Mechanics High Energy Physics - Lattice This research investigates a novel class of one-dimensional theories characterised by a distinctly defined infinite interaction range. We propose that such theories emerge naturally through a mesoscopic feedback mechanism. In this proof-of-concept study, we examine Ising-type models and a model with continuous O(3) symmetry, and demonstrate that the natural emergence of phase transitions, criticality, spontaneous symmetry breaking and previously unidentified universality classes is evident. The framework introduced here holds particular relevance for monolayer spintronics research, where the ultimate goal is to achieve a strong ferromagnetic order at room temperature. |
| title | Criticality in 1-dimensional field theories with mesoscopic, infinite range interactions |
| topic | High Energy Physics - Theory Statistical Mechanics High Energy Physics - Lattice |
| url | https://arxiv.org/abs/2507.15095 |