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arXiv · 1612.07693

Magnetic description of the Fermi arc in type-I and type-II Weyl semimetals

Serguei Tchoumakov·Marcello Civelli·Mark O. Goerbig
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Abstract

We consider finite-sized interfaces of a Weyl semi-metal and show that the corresponding confinement potential is similar to the application of a magnetic field. Among the numerous states, which can be labeled by indices n like in Landau levels, the n = 0 surface state describes the Weyl semimetal Fermi arc at a given chemical potential. Moreover, the analogy with a magnetic field shows that an external in-plane magnetic field can be used to distort the Fermi arc and would explain some features of magneto-transport in Weyl semimetals. We derive the Fermi arc for type-I and type-II Weyl semimetals where we deal with the tilt anisotropy by the use of Lorentz boosts. In the case of type-II Weyl semimetals, this leads to many additional topologically trivial surface states at low energy. Finally, we extend the Aharonov-Casher argument and demonstrate the stability of the Fermi arc over fluctuations of the surface potential.

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Serguei Tchoumakov, Marcello Civelli, Mark O. Goerbig. 2017-02-14. Magnetic description of the Fermi arc in type-I and type-II Weyl semimetals. https://doi.org/10.1103/physrevb.95.125306

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