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Cited by 405Topological Materials and PhenomenaAdvanced Condensed Matter PhysicsMagnetic properties of thin films

Chiral anomaly and transport in Weyl metals

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Burkov, A A·2015·Journal of Physics: Condensed Matter
DOI 10.1088/0953-8984/27/11/113201
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Abstract

We present an overview of our recent work on transport phenomena in Weyl metals, which may be connected to their nontrivial topological properties, particularly to chiral anomaly. We argue that there are two basic phenomena, which are related to chiral anomaly in Weyl metals: anomalous Hall effect (AHE) and chiral magnetic effect (CME). While AHE is in principle present in any ferromagnetic metal, we demonstrate that a magnetic Weyl metal is distinguished from an ordinary ferromagnetic metal by the absence of the extrinsic and the Fermi surface part of the intrinsic contributions to the AHE, as long as the Fermi energy is sufficiently close to the Weyl nodes. The AHE in a Weyl metal is thus shown to be a purely intrinsic, universal property, fully determined by the location of the Weyl nodes in the first Brillouin zone. In other words, a ferromagnetic Weyl metal may be thought of as the only example of a ferromagnetic metal with a purely intrinsic AHE. We further develop a fully microscopic theory of diffusive magnetotransport in Weyl metals. We derive coupled diffusion equations for the total and axial (i.e. node-antisymmetric) charge densities and show that chiral anomaly manifests as a magnetic-field-induced coupling between them. We demonstrate that an experimentally-observable consequence of CME in magnetotransport in Weyl metals is a quadratic negative magnetoresistance, which will dominate all other contributions to magnetoresistance under certain conditions and may be regarded as a smoking-gun transport characteristic, unique to Weyl metals.

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  • Extending the 2D Chern insulator to 3D cannot produce a strong 3D Chern insulator; instead it gives a metallic topological semimetal phase.

    “However, the extension of the 2D Chern insulator to 3D cannot produce a strong 3D Chern insulator.Instead, this development results in a metallic phase: the topological semimetal (76).”

    From Transport of Topological Semimetals (2019) · cites this paper as [76]

    Section 2 (page unavailable) describes a multilayer that becomes a Weyl semimetal when time-reversal symmetry is broken near a phase transition. But it also says that, at higher spin splitting, the resulting state is a 3D quantum anomalous Hall insulator. The paper therefore supports a conditional route to a semimetal, not the claim that extending a 2D Chern insulator to 3D necessarily produces one; it does not address the stated impossibility of a strong 3D Chern insulator. (LLM, conf=0.84)

    Experimental — accuracy not yet measured

  • A quantum anomalous Hall insulator system is in principle similar to the integer quantum Hall system but occurs without an external magnetic field and Landau levels, making it promising for spintronics.

    “As mentioned above, a QAHI system is in principle similar to the integer quantum Hall system, but the former occurs without an external magnetic field and LLs (76,79) and thus carries great promise for possible applications in spintronics.”

    From Transport of Topological Semimetals (2019) · cites this paper as [76]

    Section 2 (page unavailable) identifies a three-dimensional quantum anomalous Hall insulator with quantized Hall conductivity, supporting the claim's basic characterization. The passages found do not make the comparison with the integer quantum Hall system, explicitly say that the insulator occurs without an external magnetic field or Landau levels, or discuss spintronics applications. (LLM, conf=0.79)

    Experimental — accuracy not yet measured

  • A quantum spin Hall insulator does not require the magnetic field needed for an integer quantum Hall system, because the field cancels when time-reversal copies are combined.

    “Apparently, the magnetic field necessary to produce an integer quantum Hall system is no longer needed for a QSHI system (76,79), as the magnetic field is cancelled out when the time-reversal copies of integer quantum Hall systems are brought together.”

    From Transport of Topological Semimetals (2019) · cites this paper as [76]

    The passages in §3.3 (page unavailable) describe cancellation between Landau-level contributions in a Weyl semimetal, not cancellation of magnetic fields when time-reversal copies of integer quantum Hall systems are combined. Searches for quantum spin Hall insulators, QSHI, and time-reversal copies found no passage in our copy addressing the attributed explanation. (LLM, conf=0.74)

    Experimental — accuracy not yet measured

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References 79 · Cited by 405

Research works printed but not linked: 76

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Authors
Burkov, A. A.
Affiliations
University of Waterloo (CA)
Corresponding author
Burkov, A A
ORCID
Burkov, A A
Venue
Journal of Physics: Condensed Matter
Publisher
IOP Publishing
Published
2015-02-25
Volume
27
Issue
11
Pages
113201
ISSN
  • 0953-8984 (ISSN-L)
  • 1361-648X
DOI
10.1088/0953-8984/27/11/113201
OpenAlex
W2018233368
Cited by
405
References
79
Citations by year
2026: 10 · 2025: 23 · 2024: 26 · 2023: 31 · 2022: 36 · 2021: 46 · 2020: 40 · 2019: 47 · 2018: 43 · 2017: 47 · 2016: 39 · 2015: 17
FWCI
24.74
Type
journal article
Language
en
Open access
Licence
Locations
  • Journal of Physics Condensed Matter (publishedVersion)
  • PubMed (publishedVersion)
  • arXiv (Cornell University) (submittedVersion)
  • arXiv (Cornell University)
Funders
Natural Sciences and Engineering Research Council of Canada
Topics
  • Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Topological Materials and Phenomena
  • Physical Sciences › Physics and Astronomy › Condensed Matter Physics › Advanced Condensed Matter Physics
  • Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Magnetic properties of thin films
Keywords
Weyl metals, chiral anomaly, anomalous Hall effect, chiral magnetic effect, intrinsic Hall effect, negative magnetoresistance, Weyl points, topological metals, magnetotransport

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