Correction to: Scientific Reports https://doi.org/10.1038/s41598-021-04076-z, published online 07 January 2022
The original version of this Article contained errors in the Reference list, where the titles of references 1,6,9,11,18,19,20,21, and 25 were incorrectly given as
1. Berry, M. V. Proceedings of the royal society of London. A. Math. Phys. Sci. 392, 45 (1984).
6. Wang, Z., Chong, Y., Joannopoulos, J. D. & Soljačić, M. RNA-Seq: A revolutionary tool for transcriptomics. Nature 461, 772 (2009).
9. Wimmer, M., Price, H. M., Carusotto, I. & Peschel, U. Engineering hybrid epitaxial InAsSb/Al nanowires for stronger topological protection. Nature 13, 545 (2017).
11. Rong, K. et al. Probing nanoscale fluctuation of ferromagnetic meta-atoms with a stochastic photonic spin Hall effect. Nat. Nanotechnol. 15, 927 (2020).
18. Bliokh, K. & Bliokh, Y. Theory of superconductivity. A treatise on the magnetic vector potential. Ann. Phys. 319, 13 (2005).
19. Price, H. M., Ozawa, T. & Carusotto, I. Topological photonics. Phys. Rev. Lett. 113, 190403 (2014).
20. Yao, Y. et al. Non-collinear antiferromagnets and the anomalous Hall effect. Phys. Rev. Lett. 92, 037204 (2004).
21. Nagaosa, N., Sinova, J., Onoda, S., MacDonald, A. H. & Ong, N. P. Non-collinear antiferromagnets and the anomalous Hall effect. Rev. Mod. Phys. 82, 1539 (2010).
25. Gradhand, M. et al. Non-collinear antiferromagnets and the anomalous Hall effect. J. Phys. Condens. Matter 24, 213202 (2012).
The correct references now read:
1. Berry, M. V. Quantal phase factors accompanying adiabatic changes. Proc. R. Soc. Lond. A. Math. Phys. Sci. 392, 45–57 (1984).
6. Wang, Z., Chong, Y., Joannopoulos, J. D. & Soljačić, M. Observation of unidirectional backscattering-immune topological electromagnetic states. Nature 461, 772 (2009).
9. Wimmer, M., Price, H. M., Carusotto, I. & Peschel, U. Experimental measurement of the Berry curvature from anomalous transport. Nature 13, 545 (2017).
11. Rong, K. et al. Photonic Rashba effect from quantum emitters mediated by a Berry-phase defective photonic crystal. Nat. Nanotechnol. 15, 927 (2020).
18. Bliokh, K. & Bliokh, Y. Spin gauge fields: From Berry phase to topological spin transport and Hall effects. Ann. Phys. 319, 13-47 (2005).
19. Price, H. M., Ozawa, T. & Carusotto, I. Quantum mechanics with a momentum-space artificial magnetic field. Phys. Rev. Lett. 113, 190403 (2014).
20. Yao, Y. et al. First principles calculation of anomalous Hall conductivity in ferromagnetic bcc Fe. Phys. Rev. Lett. 92, 037204 (2004).
21. Nagaosa, N., Sinova, J., Onoda, S., MacDonald, A. H. & Ong, N. P. Anomalous Hall effect. Rev. Mod. Phys. 82, 1539-1592 (2010).
25. Gradhand, M. et al. First-principle calculations of the Berry curvature of Bloch states for charge and spin transport of electrons. J. Phys. Condens. Matter 24, 213202 (2012).
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Stejskal, O., Veis, M. & Hamrle, J. Publisher Correction: The flow of the Berry curvature vector field. Sci Rep 12, 10950 (2022). https://doi.org/10.1038/s41598-022-15355-8
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DOI: https://doi.org/10.1038/s41598-022-15355-8
