# Scattering theory of the chiral magnetic effect in a Weyl semimetal: interplay of bulk Weyl cones and surface Fermi arcs

@article{Baireuther2015ScatteringTO, title={Scattering theory of the chiral magnetic effect in a Weyl semimetal: interplay of bulk Weyl cones and surface Fermi arcs}, author={Paul Baireuther and Jimmy A. Hutasoit and Jakub Tworzydło and C. W. J. Beenakker}, journal={New Journal of Physics}, year={2015}, volume={18} }

We formulate a linear response theory of the chiral magnetic effect in a finite Weyl semimetal, expressing the electrical current density j induced by a slowly oscillating magnetic field B or chiral chemical potential μ in terms of the scattering matrix of Weyl fermions at the Fermi level. Surface conduction can be neglected in the infinite-system limit for δ j / δ μ , but not for δ j / δ B : the chirally circulating surface Fermi arcs give a comparable contribution to the bulk Weyl cones no…

## 45 Citations

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Abstract
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## References

SHOWING 1-10 OF 33 REFERENCES

### Gravitational anomaly and transport phenomena.

- PhysicsPhysical review letters
- 2011

The Kubo formula for the anomalous vortical conductivity at weak coupling is evaluated and it is shown that it receives contributions proportional to the gravitational anomaly coefficient.

### The Universe in a Helium Droplet

- Physics
- 2003

2. GRAVITY 7. MICROSCOPIC PHYSICS 13. TOPOLOGY OF DEFECTS 18. ANOMALOUS NON-CONSERVATION OF FERMIONIC CHARGE 22. EDGE STATES AND FERMION ZERO MODES ON SOLITON 26. LANDAU CRITICAL VELOCITY 29. CASIMIR…

### Electronic Transport In Mesoscopic Systems

- Physics
- 2016

The electronic transport in mesoscopic systems is universally compatible with any devices to read, and is available in the book collection an online access to it is set as public so you can get it instantly.

### Phys

- Rev. Lett. 111, 027201
- 2013

### Phys

- Rev. B 85, 165110
- 2012

### Chinese Phys

- Lett. 30, 027101
- 2013

### To avoid a confusion of minus signs, we assign charge +e to the carriers. The final result for the induced current contains e 2 , so this sign convention does not affect it

### Phys

- Rev. D 78, 074033
- 2008

### Phys

- Rev. D 57, 2186
- 1998

### Phys

- Rev. B 89, 035142
- 2014