Quantized Integrated Shift Effect in Multigap Topological Phases

• URL: http://arxiv.org/abs/2402.13245v2
• Date: Mon, 28 Oct 2024 19:00:00 GMT
• Title: Quantized Integrated Shift Effect in Multigap Topological Phases
• Authors: Wojciech J. Jankowski, Robert-Jan Slager,
• Abstract summary: We recast the quantization in terms of the integrated torsion tensor and the non-Abelian Berry connection constituting Chern-Simons forms. Our findings provide another quantized electromagnetic dc response due to the nontrivial band topology.
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• Abstract: We show that certain three-dimensional multigap topological insulators can host quantized integrated shift photoconductivities due to bulk invariants that are defined under reality conditions imposed by additional symmetries. We recast the quantization in terms of the integrated torsion tensor and the non-Abelian Berry connection constituting Chern-Simons forms. Physically, we recognize that the topological quantization emerges purely from virtual transitions contributing to the optical response. Our findings provide another quantized electromagnetic dc response due to the nontrivial band topology, beyond the quantum anomalous Hall effect of Chern insulators and quantized circular photogalvanic effect found in Weyl semimetals.

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