Topological Phases for Extended Objects: Semiclassical Phase-Space Approach with Tensorial Coordinates
Fuente:
arXiv
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866910781624287232 |
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| author | Palumbo, Giandomenico |
| author_facet | Palumbo, Giandomenico |
| contents | It has long been established that certain higher-dimensional topological phases of matter support extended objects like quasi-strings and quasi-membranes in their bulk states. In this study, we investigate the physics of these topological systems using a phase-space approach in the semiclassical regime, incorporating tensorial coordinates related to the extended objects. Specifically, we explore the semiclassical currents associated to open quasi-strings in topological phases in three spatial dimensions, considering the presence of both coordinate-space Kalb-Ramond fields and momentum-space tensor Berry connections. Our results show that the currents associated to the endpoints of open quasi-strings on the system's boundary exhibit a quantized Hall response. This formalism accurately reproduces the boundary response as predicted by an Abelian BF theory proving a novel way to study extended objects in topological matter. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_16534 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Topological Phases for Extended Objects: Semiclassical Phase-Space Approach with Tensorial Coordinates Palumbo, Giandomenico Mesoscale and Nanoscale Physics Strongly Correlated Electrons High Energy Physics - Theory It has long been established that certain higher-dimensional topological phases of matter support extended objects like quasi-strings and quasi-membranes in their bulk states. In this study, we investigate the physics of these topological systems using a phase-space approach in the semiclassical regime, incorporating tensorial coordinates related to the extended objects. Specifically, we explore the semiclassical currents associated to open quasi-strings in topological phases in three spatial dimensions, considering the presence of both coordinate-space Kalb-Ramond fields and momentum-space tensor Berry connections. Our results show that the currents associated to the endpoints of open quasi-strings on the system's boundary exhibit a quantized Hall response. This formalism accurately reproduces the boundary response as predicted by an Abelian BF theory proving a novel way to study extended objects in topological matter. |
| title | Topological Phases for Extended Objects: Semiclassical Phase-Space Approach with Tensorial Coordinates |
| topic | Mesoscale and Nanoscale Physics Strongly Correlated Electrons High Energy Physics - Theory |
| url | https://arxiv.org/abs/2406.16534 |