Weyl fermions and the anomalous Hall effect in metallic ferromagnets
- Creators
- Chen, Y.
- Bergman, D. L.
- Burkov, A. A.
Abstract
We reconsider the problem of the anomalous Hall effect in ferromagnetic SrRuO_3, incorporating insights from the recently developed theory of Weyl semimetals. We demonstrate that SrRuO_3 possesses a large number of Weyl nodes, separated in momentum space, in its band structure. While the nodes normally do not coincide with the Fermi energy, unless the material is doped, we show that even the nodes inside the Fermi sea have a significant effect on the physical properties of the material. In particular, we show that the common belief that (the nonquantized part of) the intrinsic anomalous Hall conductivity of a ferromagnetic metal is entirely a Fermi-surface property, is incorrect: there generally exists a contribution to the anomalous Hall conductivity that arises from topological Fermi-arc surface states, associated with the Weyl nodes, which is of the same order of magnitude as the Fermi-surface contribution.
Additional Information
© 2013 American Physical Society. Received 2 May 2013; revised manuscript received 25 June 2013; published 6 September 2013. We acknowledge useful discussions with L. Balents, H.-Y. Kee, Y.-B. Kim, R. Lutchyn, and A. H. MacDonald. Financial support was provided by NSERC of Canada and a University of Waterloo startup grant. A.A.B. acknowledges the hospitality of the Aspen Center for Physics, funded by NSF Grant No. PHY-1066293.Attached Files
Published - PhysRevB.88.125110.pdf
Submitted - 1305.0183v2.pdf
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Additional details
- Eprint ID
- 41678
- Resolver ID
- CaltechAUTHORS:20131004-094913758
- Natural Sciences and Engineering Research Council of Canada (NSERC)
- University of Waterloo Startup Grant
- PHY-1066293
- NSF
- Created
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2013-10-04Created from EPrint's datestamp field
- Updated
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2021-11-10Created from EPrint's last_modified field