Negative longitudinal magnetoresistance in Dirac and Weyl metals
Open accessAbstract
It has recently been found that Dirac and Weyl metals are characterized by an unusual weak-field longitudinal magnetoresistance: large, negative, and quadratic in the magnetic field. This has been shown to arise from the chiral anomaly, i.e., nonconservation of the chiral charge in the presence of external electric and magnetic fields, oriented collinearly. In this paper we report on a theory of this effect in both Dirac and Weyl metals. We demonstrate that this phenomenon contains two important ingredients. One is the magnetic-field-induced coupling between the chiral and the total (or vector, in relativistic field theory terminology) charge densities. This arises from the Berry curvature and is present in principle whenever the Berry curvature is nonzero, i.e., is nonspecific to Dirac and Weyl metals. This coupling, however, leads to a large negative quadratic magnetoresistance only when the second ingredient is present, namely when the chiral charge density is a nearly conserved quantity with a long relaxation time. This property is specific to Dirac and Weyl metals and is realized only when the Fermi energy is close to Dirac or Weyl nodes, expressing an important low-energy property of these materials, emergent chiral symmetry.
Integrity signals
Registry
Cites
Statistics
Claims the paper makes
Claims other papers make about this one
Each is checked against this paper’s own text: does it say what the citing paper says it does?
A nonzero E·B can pump charges from one Weyl cone to the other, leading to an imbalance of quasi-particle number of Weyl cones with opposite chiralities.
“The charge-pumping effect means that a nonzero E·B can pump charges from one Weyl cone to the other, leading to an imbalance of the quasi-particle number of the Weyl cones with the opposite chiralities.”
From Signatures of the Adler–Bell–Jackiw chiral anomaly in a Weyl fermion semimetal (2016) · cites this paper as [36]
The observed negative LMR is most likely attributed to Weyl nodes.
“The observed negative LMR is most likely to be attributed to Weyl nodes, in accordance with the theoretical analysis of (refs 24, 26 and 36).”
From Signatures of the Adler–Bell–Jackiw chiral anomaly in a Weyl fermion semimetal (2016) · cites this paper as [36]
Cites
Topological insulators and superconductors
Qi, X.-L., & Zhang, S.-C. (2011) · Reviews of Modern Physics · doi:10.1103/revmodphys.83.1057 · Cited by 14,394 · see citing works
Wan, X., Turner, A. M., Vishwanath, A., & Savrasov, S. Y. (2011) · Physical Review B · doi:10.1103/physrevb.83.205101 · Cited by 4,718 · see citing works
Observation of Fermi arc surface states in a topological metal
Xu, S.-Y., Liu, C., Kushwaha, S. K., Sankar, R., Krizan, J. W., Belopolski, I., Neupane, M., Bian, G., Alidoust, N., Chang, T.-R., et al. (2015) · Science · doi:10.1126/science.1256742 · Cited by 764 · see citing works
Sato, T., Segawa, K., Kosaka, K., Souma, S., Nakayama, K., Eto, K., Minami, T., Ando, Y., & Takahashi, T. (2011) · Nature Physics · doi:10.1038/nphys2058 · Cited by 235 · see citing works
Flagged first, then by citations
Cited by
Sorted by citations
Weyl and Dirac semimetals in three-dimensional solids
Armitage, N. P., Mele, E. J., & Vishwanath, A. (2018) · Reviews of Modern Physics · doi:10.1103/revmodphys.90.015001 · Cited by 4,528 · see citing works
“Instead if the relaxation is to be small between states of opposite chirality at the same k0 in a DSM (Burkov, 2015b), this is presumably 25 because scattering is suppressed by the same symmetries that protect the Dirac node itself.”
BackgroundMethodInfluentialEvidence for the chiral anomaly in the Dirac semimetal Na <sub>3</sub> Bi
Xiong, J., Kushwaha, S. K., Liang, T., Krizan, J. W., Hirschberger, M., Wang, W., Cava, R. J., & Ong, N. P. (2015) · Science · doi:10.1126/science.aac6089 · Cited by 1,137 · see citing works
Signatures of the Adler–Bell–Jackiw chiral anomaly in a Weyl fermion semimetal
Zhang, C.-L., Xu, S.-Y., Belopolski, I., Yuan, Z., Lin, Z., Tong, B., Bian, G., Alidoust, N., Lee, C.-C., Huang, S.-M., et al. (2016) · Nature Communications · doi:10.1038/ncomms10735 · Cited by 760 · see citing works
The chiral anomaly and thermopower of Weyl fermions in the half-Heusler GdPtBi
Hirschberger, M., Kushwaha, S., Wang, Z., Gibson, Q., Liang, S., Belvin, C. A., Bernevig, B. A., Cava, R. J., & Ong, N. P. (2016) · Nature Materials · doi:10.1038/nmat4684 · Cited by 576 · see citing works
Gate-tunable negative longitudinal magnetoresistance in the predicted type-II Weyl semimetal WTe2
Wang, Y., Liu, E., Liu, H., Pan, Y., Zhang, L., Zeng, J., Fu, Y., Wang, M., Xu, K., Huang, Z., et al. (2016) · Nature Communications · doi:10.1038/ncomms13142 · Cited by 280 · see citing works
Giant planar Hall effect in topological metals
Burkov, A. A. (2017) · Physical Review B · doi:10.1103/physrevb.96.041110 · Cited by 249 · see citing works
Self-citationRecent Progress in the Study of Topological Semimetals
Bernevig, A., Weng, H., Fang, Z., & Dai, X. (2018) · Journal of the Physical Society of Japan · doi:10.7566/jpsj.87.041001 · Cited by 176 · see citing works
Chiral anomaly factory: Creating Weyl fermions with a magnetic field
Cano, J., Bradlyn, B., Wang, Z., Hirschberger, M., Ong, N. P., & Bernevig, B. A. (2017) · Physical Review B · doi:10.1103/physrevb.95.161306 · Cited by 139 · see citing works
Weyl and Dirac Semimetals in Three Dimensional Solids
Armitage, N. P., Mele, E. J., & Vishwanath, A. (2017) · arXiv
“Instead if the relaxation is to be small between states of opposite chirality at the same k0 in a DSM (Burkov, 2015b), this is presumably 25 because scattering is suppressed by the same symmetries that protect the Dirac node itself.”
BackgroundMethodInfluential
- Authors
- Burkov, A. A.
- Affiliations
- University of Waterloo (CA)
- Corresponding author
- Burkov, A. A.
- ORCID
- Burkov, A. A.
- Venue
- Physical Review B
- Publisher
- American Physical Society (APS)
- Published
- 2015-06-29
- Volume
- 91
- Issue
- 24
- ISSN
- 1098-0121 (ISSN-L)
- 1550-235X
- OpenAlex
- W1529523263
- Cited by
- 204
- References
- 4
- Citations by year
- 2026: 10 · 2025: 9 · 2024: 11 · 2023: 18 · 2022: 12 · 2021: 14 · 2020: 20 · 2019: 28 · 2018: 25 · 2017: 29 · 2016: 22 · 2015: 6
- FWCI
- 13.89
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Locations
- Physical Review B (publishedVersion)
- arXiv (Cornell University) (publishedVersion)
- 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 › Condensed Matter Physics › Physics of Superconductivity and Magnetism
- Keywords
- negative longitudinal magnetoresistance, Weyl metals, chiral anomaly, Berry curvature, Dirac nodes, Fermi energy
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
