Anomalous transport of Weyl fermions in Weyl semimetals

By K. Landsteiner. 2013

155 citations recorded by the source corpus.

We present a field theoretical model of anomalous transport in Weyl semimetals. We calculate the chiral magnetic and chiral vortical effect in the electric, axial (valley), and energy current. Our findings coincide with the results of a recent analysis using kinetic theory in the bulk of the material. We point out that the kinetic currents have to be identified with the covariant currents in quantum field theory. These currents are anomalous and the CME appears as anomalous charge creation/annihilation at the edges of the Weyl semimetal. We discuss a possible simultaneous experimental test of the chiral magnetic and the chiral vortical effect sensitive to the temperature dependence induced by the gravitational contribution to the axial anomaly.

Subfields: Atomic and Molecular Physics, and Optics, Materials Chemistry

View Paper: https://www.semanticscholar.org/paper/128645f3d9da9601a93453e6a36631085ad57237

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In Atomic and Molecular Physics, and Optics

1. J. Venderbos
2. Ashvin Vishwanath
3. A. Grushin
4. R. Ilan
5. K. Landsteiner
6. T. Senthil
7. Xianhui Chen
8. A. Nahum

In Materials Chemistry

1. J. Venderbos
2. A. Grushin
3. Ashvin Vishwanath
4. R. Ilan
5. Xianhui Chen

Citations in the corpus

• Inhomogeneous Weyl and Dirac Semimetals: Transport in Axial Magnetic Fields and Fermi Arc Surface States from Pseudo-Landau Levels (2016, methodology): “The procedure has been described both in the context of high-energy physics [93] and Weyl semimetals [33]: The current calculated above (the covariant current) is complemented by Chern-Simons currents (the Bardeen-Zumino polynomials) of the form −1⁄21=ð4π2Þ εμνρσbF, which exactly cancel the anomaly ”