The DOI matches its Crossref record; 3 of the 3 references it cites were found in a registry or an index.
Berry Curvature, Triangle Anomalies, and the Chiral Magnetic Effect in Fermi Liquids
Open accessAbstract
In a three-dimensional Fermi liquid, quasiparticles near the Fermi surface may possess a Berry curvature. We show that if the Berry curvature has a nonvanishing flux through the Fermi surface, the particle number associated with this Fermi surface has a triangle anomaly in external electromagnetic fields. We show how Landau's Fermi liquid theory should be modified to take into account the Berry curvature. We show that the "chiral magnetic effect" also emerges from the Berry curvature flux.
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Cites
Wan, X., Turner, A. M., Vishwanath, A., & Savrasov, S. Y. (2011) · Physical Review B · doi:10.1103/physrevb.83.205101 · Cited by 4,718
A PCAC puzzle: π0→γγ in the σ-model
Bell, J. S., & Jackiw, R. (1969) · Il Nuovo Cimento A · doi:10.1007/bf02823296 · Cited by 3,284
The Universe in a Helium Droplet
Volovik, G. E. (2009) · doi:10.1093/acprof:oso/9780199564842.001.0001 · Cited by 2,632
Research works printed but not linked: 20
- L. D. Landau, 1957, Sov. Phys. JETP, 3, 920
- L. D. Landau, 1959, Sov. Phys. JETP, 8, 70
- 10.1103/PhysRevB.59.14915 · DOI · Paper page
- 10.1103/PhysRevLett.93.206602 · DOI · Paper page
- 10.1103/PhysRevLett.107.127205 · DOI · Paper page
- 10.1103/PhysRevLett.107.186806 · DOI · Paper page
- 10.1103/PhysRev.177.2426 · DOI · Paper page
- 10.1103/PhysRevLett.95.137204 · DOI
- 10.1142/S0217984906010573 · DOI · Paper page
- R. Jackiw, 1972, Lectures on Current Algebra and Its Applications
- 10.1016/0370-2693(84)90952-3 · DOI · Paper page
- 10.1016/0370-2693(83)91529-0 · DOI · Paper page
- 10.1103/PhysRevD.78.074033 · DOI · Paper page
- 10.1103/PhysRevB.77.035110 · DOI
- 10.1103/PhysRevB.84.115209 · DOI
- 10.1103/PhysRevLett.103.191601 · DOI
- 10.1007/JHEP03(2011)023 · DOI
- 10.1103/PhysRevLett.107.021601 · DOI · Paper page
- 10.1088/1126-6708/2006/01/158 · DOI
- 10.1103/PhysRevD.83.085007 · DOI · Paper page
Cited by
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
“Both CME and the anomalous Hall effect in WSMs can be represented compactly by the addition of the so-called axion term to the electromagnetic Lagrangian (Goswami and Tewari, 2013; Grushin, 2012; Son and Yamamoto, 2012; Vazifeh and Franz, 2013a; Zyuzin and Burkov, 2012; Zyuzin et al., 2012).”
BackgroundChiral anomaly and classical negative magnetoresistance of Weyl metals
Son, D. T., & Spivak, B. Z. (2013) · Physical Review B · doi:10.1103/physrevb.88.104412 · Cited by 1,378
Self-citationVafek, O., & Vishwanath, A. (2014) · Annual Review of Condensed Matter Physics · doi:10.1146/annurev-conmatphys-031113-133841 · Cited by 614
Chiral anomaly and transport in Weyl metals
Burkov, A. A. (2015) · Journal of Physics: Condensed Matter · doi:10.1088/0953-8984/27/11/113201 · Cited by 405
Chiral Anomaly and Diffusive Magnetotransport in Weyl Metals
Burkov, A. A. (2014) · Physical Review Letters · doi:10.1103/physrevlett.113.247203 · Cited by 273
Metadata
- Authors
- Son, D. T., & Yamamoto, N.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2012-11-02
- Volume
- 109
- Issue
- 18
- Pages
- 181602-181602
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W2046474690
- Cited by
- 543
- References
- 3
- FWCI
- 14.62
- Type
- journal article
- Language
- en
- Open access
- green
- Licence
- Funders
- U.S. Department of Energy
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- Son, D. T., & Yamamoto, N. (2012). Berry Curvature, Triangle Anomalies, and the Chiral Magnetic Effect in Fermi Liquids. Physical Review Letters. https://doi.org/10.1103/physrevlett.109.181602
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