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Universality of Transport Properties in Equilibrium, the Goldstone Theorem, and Chiral Anomaly
Open accessAbstract
We study transport in a class of physical systems possessing two conserved chiral charges. We describe a relation between universality of transport properties of such systems and the chiral anomaly. We show that the nonvanishing of a current expectation value implies the presence of gapless modes, in analogy to the Goldstone theorem. Our main tool is a new formula expressing currents in terms of anomalous commutators. Universality of conductance arises as a natural consequence of the nonrenormalization of anomalies. To illustrate our formalism we examine transport properties of a quantum wire in $1+1$ dimensions and of massless QED in a background magnetic field in $3+1$ dimensions.
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Halperin, B. I. (1982) · Physical Review B · doi:10.1103/physrevb.25.2185 · Cited by 2,547
Cited by
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Zyuzin, A. A., & Burkov, A. A. (2012) · Physical Review B · doi:10.1103/physrevb.86.115133 · Cited by 906
The Chiral Magnetic Effect and anomaly-induced transport
Kharzeev, D. E. (2014) · Progress in Particle and Nuclear Physics · doi:10.1016/j.ppnp.2014.01.002 · Cited by 508
Chiral magnetic effect and natural optical activity in metals with or without Weyl points
Ma, J., & Pesin, D. A. (2015) · Physical Review B · doi:10.1103/physrevb.92.235205 · Cited by 159
Anomaly induced chiral magnetic current in a Weyl semimetal: Chiral electronics
Kharzeev, D. E., & Yee, H.-U. (2013) · Physical Review B · doi:10.1103/physrevb.88.115119 · Cited by 52
Metadata
- Authors
- Alekseev, A. Y., Cheianov, V. V., & Fröhlich, J.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 1998-10-19
- Volume
- 81
- Issue
- 16
- Pages
- 3503-3506
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W1991554437
- Cited by
- 200
- References
- 1
- FWCI
- 1.23
- Type
- journal article
- Language
- en
- Open access
- green
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- Alekseev, A. Y., Cheianov, V. V., & Fröhlich, J. (1998). Universality of Transport Properties in Equilibrium, the Goldstone Theorem, and Chiral Anomaly. Physical Review Letters. https://doi.org/10.1103/physrevlett.81.3503
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