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. 2017 Jul 6;8:15995. doi: 10.1038/ncomms15995

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Copyright © 2017, The Author(s)

Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons license, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons license and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/

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When inversion and mirror symmetries are broken, Weyl nodes of opposite chiralities are generically at different energies. For intraband effects like optical gyrotropy, both nodes contribute and the response is proportional to the difference ε_L−ε_R. For an interband effect like the CPGE, when 2|ε_L|<ħω<2|ε_R|, one Weyl node contributes exactly with the monopole charge, while the other has zero contribution due to Pauli blocking.