Hall conductance in a weakly time-reversal invariant open system
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866917333462679552 |
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| author | Fagerlund, Alexander Ekman, Christopher Arouca, Rodrigo |
| author_facet | Fagerlund, Alexander Ekman, Christopher Arouca, Rodrigo |
| contents | The quantum Hall effect and the quantum anomalous Hall effect both require time-reversal invariance to be broken. We show that non-equilibrium effects can cause Hall physics to arise even when the system is weakly time-reversal symmetric and no magnetic field is applied. In our model, this occurs due to a fermionic subsystem breaking time-reversal invariance even if the system as a whole does not. The fermions receive a TRI-breaking self-energy, caused by interactions with bosonic degrees of freedom in the system and with an external reservoir. As a result, the fermions develop a non-quantized Hall conductance. We demonstrate that, unlike in the equilibrium case, the presence of a mass term is insufficient for the Hall conductance to appear, and wave-function renormalization effects have to be included. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_11186 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Hall conductance in a weakly time-reversal invariant open system Fagerlund, Alexander Ekman, Christopher Arouca, Rodrigo Mesoscale and Nanoscale Physics Quantum Gases Strongly Correlated Electrons Quantum Physics The quantum Hall effect and the quantum anomalous Hall effect both require time-reversal invariance to be broken. We show that non-equilibrium effects can cause Hall physics to arise even when the system is weakly time-reversal symmetric and no magnetic field is applied. In our model, this occurs due to a fermionic subsystem breaking time-reversal invariance even if the system as a whole does not. The fermions receive a TRI-breaking self-energy, caused by interactions with bosonic degrees of freedom in the system and with an external reservoir. As a result, the fermions develop a non-quantized Hall conductance. We demonstrate that, unlike in the equilibrium case, the presence of a mass term is insufficient for the Hall conductance to appear, and wave-function renormalization effects have to be included. |
| title | Hall conductance in a weakly time-reversal invariant open system |
| topic | Mesoscale and Nanoscale Physics Quantum Gases Strongly Correlated Electrons Quantum Physics |
| url | https://arxiv.org/abs/2603.11186 |