Quantized responses in multigap topological phases
ORAL
Abstract
Quantized electromagnetic responses are rare smoking-gun probes constituting a hallmark for nontrivial topology in quantum materials. Following the discovery of the quantum Hall effect [1], it was shown that Chern insulators exhibit quantized bulk Hall currents [2], whereas Weyl semimetals can support quantized injection currents [3]. We show that certain three-dimensional multigap topological insulators can host quantized integrated shift photoconductivities due to bulk invariants defined under PT (spatiotemporal inversion) symmetry [4,5]. We recast the quantization in terms of quantum-geometric torsion tensors, connecting them to real Chern-Simons forms, and to virtual multiband optical transition amplitudes.
[1] K.V. Klitzing, et al., Phys. Rev. Lett. 45, 494–497 (1980).
[2] F. D. M. Haldane, Phys. Rev. Lett. 61 (2015).
[3] F. De Juan, et al., Nat. Commun. 8, 15995 (2017).
[4] W.J. Jankowski, et al., Phys. Rev. Lett. (accepted) [arXiv:2402.13245].
[5] W.J. Jankowski, et al., Phys. Rev. B 110, 075135 (2024).
[1] K.V. Klitzing, et al., Phys. Rev. Lett. 45, 494–497 (1980).
[2] F. D. M. Haldane, Phys. Rev. Lett. 61 (2015).
[3] F. De Juan, et al., Nat. Commun. 8, 15995 (2017).
[4] W.J. Jankowski, et al., Phys. Rev. Lett. (accepted) [arXiv:2402.13245].
[5] W.J. Jankowski, et al., Phys. Rev. B 110, 075135 (2024).
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Publication: [1] W.J. Jankowski, et al., Phys. Rev. Lett. (accepted) [arXiv:2402.13245].<br>[2] W.J. Jankowski, et al., Phys. Rev. B 110, 075135 (2024).
Presenters
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Wojciech J Jankowski
University of Cambridge
Authors
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Wojciech J Jankowski
University of Cambridge
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Robert-Jan Slager
University of Manchester and Cambridge, University of Cambridge, Univ of Cambridge