Cited by 188Topological Materials and Phenomena2D Materials and ApplicationsAdvanced Condensed Matter Physics

When Chiral Photons Meet Chiral Fermions: Photoinduced Anomalous Hall Effects in Weyl Semimetals

Open access
Chan, Ching-Kit, Lee, Patrick A., Burch, Kenneth S., Han, Jung Hoon, Ran, Ying·2016·Physical Review Letters

Abstract

The Weyl semimetal is characterized by three-dimensional linear band touching points called Weyl nodes. These nodes come in pairs with opposite chiralities. We show that the coupling of circularly polarized photons with these chiral electrons generates a Hall conductivity without any applied magnetic field in the plane orthogonal to the light propagation. This phenomenon comes about because with all three Pauli matrices exhausted to form the three-dimensional linear dispersion, the Weyl nodes cannot be gapped. Rather, the net influence of chiral photons is to shift the positions of the Weyl nodes. Interestingly, the momentum shift is tightly correlated with the chirality of the node to produce a net anomalous Hall signal. Application of our proposal to the recently discovered TaAs family of Weyl semimetals leads to an order-of-magnitude estimate of the photoinduced Hall conductivity which is within the experimentally accessible range.

The claims and statistics of this paper haven’t been checked yet.

Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.

A few free checks a day · papers already verified open instantly · results are public

Integrity signals

Registry

Crossref · 10.1103/physrevlett.116.026805

Cites

29 of 29 references verified0 citation errors · 0 not checkable

Statistics

Claims the paper makes

The claims and statistics of this paper haven’t been checked yet.

Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.

A few free checks a day · papers already verified open instantly · results are public

Self-check

Percentages, sums and reported differences re-computed from the paper’s own numbers.

The self-check needs the paper’s full text.

Cites

Flagged first, then by citations

Research works printed but not linked: 29

  1. [5]5. A. H. Castro Neto, F. Guinea, N. M. R. Peres, K. S. Novoselov, and A. K. Geim, Rev. Mod. Phys. 81, 109 (2009).
  2. [6]6. M. Z. Hasan and C. L. Kane, Rev. Mod. Phys. 82, 3045 (2010).
  3. [7]7. C. Herring, Phys. Rev. 52, 365 (1937).
  4. [8]8. S. Murakami, New J. Phys. 9, 356 (2007).
  5. [9]9. X. Wan, A. M. Turner, A. Vishwanath, and S. Y. Savrasov, Phys. Rev. B 83, 205101 (2011).
  6. [10]10. K.-Y. Yang, Y.-M. Lu, and Y. Ran, Phys. Rev. B 84, 075129 (2011).
  7. [11]11. A. A. Burkov and L. Balents, Phys. Rev. Lett. 107, 127205 (2011).
  8. [12]12. Z. Fang, N. Nagaosa, K. S. Takahashi, A. Asamitsu, R. Mathieu, T. Ogasawara, H. Yamada, M. Kawasaki, Y. Tokura, and K. Terakura, Science 302, 92 (2003).
  9. [14]14. H. Weng, C. Fang, Z. Fang, B. A. Bernevig, and X. Dai, Phys. Rev. X 5, 011029 (2015).
  10. [15]15. S.-M. Huang, S.-Y. Xu, I. Belopolski, C.-C. Lee, G. Chang, B. Wang, N. Alidoust, G. Bian, M. Neupane, C. Zhang, S. Jia, A. Bansil, H. Lin, and M. Z. Hasan, Nat. Commun. 6, 7373 (2015).
  11. [16]16. S.-Y. Xu, I. Belopolski, N. Alidoust, M. Neupane, G. Bian, C. Zhang, R. Sankar, G. Chang, Z. Yuan, C.-C. Lee, S.-M. Huang, H. Zheng, J. Ma, D. S. Sanchez, B. Wang, A. Bansil, F. Chou, P. P. Shibayev, H. Lin, S. Jia, and M. Z. Hasan, Science 349, 613 (2015).
  12. [17]17. B. Q. Lv, H. M. Weng, B. B. Fu, X. P. Wang, H. Miao, J. Ma, P. Richard, X. C. Huang, L. X. Zhao, G. F. Chen, Z. Fang, X. Dai, T. Qian, and H. Ding, Phys. Rev. X 5, 031013 (2015).
  13. [18]18. C.-C. Lee, S.-Y. Xu, S.-M. Huang, D. S. Sanchez, I. Belopolski, G. Chang, G. Bian, N. Alidoust, H. Zheng, M. Neupane, B. Wang, A. Bansil, M. Z. Hasan, and H. Lin, Phys. Rev. B 92, 235104 (2015).
  14. [19]19. B. Q. Lv, N. Xu, H. M. Weng, J. Z. Ma, P. Richard, X. C. Huang, L. X. Zhao, G. F. Chen, C. E. Matt, F. Bisti, V. N. Strocov, J. Mesot, Z. Fang, X. Dai, T. Qian, M. Shi, and H. Ding, Nat. Phys. 11, 724 (2015).
  15. [20]20. L. X. Yang, Z. K. Liu, Y. Sun, H. Peng, H. F. Yang, T. Zhang, B. Zhou, Y. Zhang, Y. F. Guo, M. Rahn, D. Prabhakaran, Z. Hussain, S.-K. Mo, C. Felser, B. Yan, and Y. L. Chen, Nat. Phys. 11, 728 (2015).
  16. [21]21. S.-Y. Xu, N. Alidoust, I. Belopolski, Z. Yuan, G. Bian, T.-R. Chang, H. Zheng, V. N. Strocov, D. S. Sanchez, G. Chang, C. Zhang, D. Mou, Y. Wu, L. Huang, C.-C. Lee, S.-M. Huang, B. Wang, A. Bansil, H.-T. Jeng, T. Neupert, A. Kaminski, H. Lin, S. Jia, and M. Zahid Hasan, Nat. Phys. 11, 748 (2015).
  17. [22]22. X. Huang, L. Zhao, Y. Long, P. Wang, D. Chen, Z. Yang, H. Liang, M. Xue, H. Weng, Z. Fang, X. Dai, and G. Chen, Phys. Rev. X 5, 031023 (2015).
  18. [24]24. C. Shekhar, A. K. Nayak, Y. Sun, M. Schmidt, M. Nicklas, I. Leermakers, U. Zeitler, Y. Skourski, J. Wosnitza, Z. Liu, Y. Chen, W. Schnelle, H. Borrmann, Y. Grin, C. Felser, and B. Yan, Nat. Phys. 11, 645 (2015).
  19. [25]25. T. Oka and H. Aoki, Phys. Rev. B 79, 081406 (2009).
  20. [26]26. Y. H. Wang, H. Steinberg, P. Jarillo-Herrero, and N. Gedik, Science 342, 453 (2013).
  21. [27]27. A. Narayan, Phys. Rev. B 91, 205445 (2015).
  22. [28]28. S. Ebihara, K. Fukushima, and T. Oka, arXiv:1509.03673. · arXiv
  23. [29]29. N. H. Lindner, G. Refael, and V. Galitski, Nat. Phys. 7, 490 (2011).
  24. [30]30. R. Wang, B. Wang, R. Shen, L. Sheng, and D. Y. Xing, Europhys. Lett. 105, 17004 (2014).
  25. [31]31. See Supplemental Material at http://link.aps.org/ supplemental/10.1103/PhysRevLett.116.026805 for more details about the effective Weyl-Floquet Hamiltonian, the lattice model calculation, realistic experimental estimations, and the doping effect, which includes Refs. [28,29].
  26. [32]32. J. H. Shirley, Phys. Rev. 138, B979 (1965).
  27. [33]33. P. Delplace, J. Li, and D. Carpentier, Europhys. Lett. 97, 67004 (2012).
  28. [34]34. T. Ojanen, Phys. Rev. B 87, 245112 (2013).
  29. [36]36. N. Nagaosa, J. Sinova, S. Onoda, A. H. MacDonald, and N. P. Ong, Rev. Mod. Phys. 82, 1539 (2010).

Cited by

Sorted by citations

Authors
Chan, C.-K., Lee, P. A., Burch, K. S., Han, J. H., & Ran, Y.
Affiliations
  • Massachusetts Institute of Technology (US)
  • Boston College (US)
  • Sungkyunkwan University (KR)
Venue
Physical Review Letters
Published
2016-01-15
Volume
116
Issue
2
Pages
026805-026805
ISSN
  • 0031-9007 (ISSN-L)
  • 1079-7114
OpenAlex
W1877627597
Cited by
188
References
29
Citations by year
2026: 2 · 2025: 10 · 2024: 13 · 2023: 11 · 2022: 15 · 2021: 21 · 2020: 20 · 2019: 26 · 2018: 30 · 2017: 22 · 2016: 18
FWCI
15.05
Type
journal article
Language
en
Open access
Locations
  • Physical Review Letters (publishedVersion)
  • PubMed (publishedVersion)
  • arXiv (Cornell University) (submittedVersion)
  • DSpace@MIT (Massachusetts Institute of Technology) (submittedVersion, cc-by-nc)
  • OSTI OAI (U.S. Department of Energy Office of Scientific and Technical Information) (submittedVersion)
  • arXiv (Cornell University)
Funders
  • U.S. Department of Energy (DE-FG02-03- ER46076)
  • National Science Foundation (DMR-1410846, DMR-1151440)
  • National Research Foundation of Korea (2013R1A2A1A01006430)
  • Alfred P. Sloan Foundation
Topics
  • Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Topological Materials and Phenomena
  • Physical Sciences › Materials Science › Materials Chemistry › 2D Materials and Applications
  • Physical Sciences › Physics and Astronomy › Condensed Matter Physics › Advanced Condensed Matter Physics
Keywords
Weyl semimetals, circularly polarized light, Weyl points, chiral fermions, Hall conductivity, thoracic aortic aneurysm, topological photonics

About these checks

Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.

Statistics and arithmetic are recomputed, not judged.

Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.

What counts as a claim ›How we measure confidence ›How we check this ›

Are you an author, or do you see a problem with this page? Request a review