Hall conductance in a weakly time-reversal invariant open system

• URL: http://arxiv.org/abs/2603.11186v1
• Date: Wed, 11 Mar 2026 18:00:20 GMT
• Title: Hall conductance in a weakly time-reversal invariant open system
• Abstract summary: We show that non-equilibrium effects can cause Hall physics to arise even when the system is weakly time-reversal symmetric.<n>Fermions receive a TRI-breaking self-energy, caused by interactions with bosonic degrees of freedom in the system.
• Score: 41.99844472131922
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: 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.

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