Shaping the topology of twisted bilayer graphene via time-reversal symmetry breaking

• URL: http://arxiv.org/abs/2406.02947v1
• Date: Wed, 5 Jun 2024 05:14:28 GMT
• Title: Shaping the topology of twisted bilayer graphene via time-reversal symmetry breaking
• Authors: Cunyuan Jiang, Matteo Baggioli, Qing-Dong Jiang,
• Abstract summary: We utilize time-reversal symmetry breaking to manipulate the topological properties of twisted bilayer graphene (TBG) By varying the strength of TRSB, we discover a topological phase transition between a topological insulating phase, which exhibits a pair of flat bands with opposite Chern numbers. We show that this novel electronic phase can be identified in the lab by measuring, as a function of the Fermi energy, its non-quantized anomalous Hall conductivity.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Symmetry breaking is an effective tool for tuning the transport and topological properties of 2D layered materials. Among these materials, twisted bilayer graphene (TBG) has emerged as a promising platform for new physics, characterized by a rich interplay between topological features and strongly correlated electronic behavior. In this study, we utilize time-reversal symmetry breaking (TRSB) to manipulate the topological properties of TBG. By varying the strength of TRSB, we discover a topological phase transition between a topological insulating phase, which exhibits a pair of flat bands with opposite Chern numbers, and a novel insulating state where the Chern number, but not the Berry curvature, of the flat bands vanishes. We demonstrate that this topological transition is mediated by a gap closing at the $\Gamma$ point, and we construct a three-dimensional phase diagram as a function of the twisting angle, the symmetry-breaking parameter, and the mismatch coupling between AA and AB stacking regions. Finally, we show that this novel electronic phase can be identified in the lab by measuring, as a function of the Fermi energy, its non-quantized anomalous Hall conductivity that is induced by the Berry dipole density of the lowest flat bands.

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