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2012

Weyl semimetal with broken time reversal and inversion symmetries

Zyuzin, A. A., Wu, Si, Burkov, A. A.

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Weyl semimetal is a new topological state of matter, characterized by the presence of nondegenerate band-touching nodes, separated in momentum space, in its bandstructure.

Here we discuss a particular realization of a Weyl semimetal: a superlattice heterostructure, made of alternating layers of topological insulator (TI) and normal insulator (NI) material, introduced by one of us before.
The Weyl node splitting is achieved most easily in this system by breaking time-reversal (TR) symmetry, for example by magnetic doping.
If, however, spatial inversion (I) symmetry remains, the Weyl nodes will occur at the same energy, making it possible to align the Fermi energy simultaneously with both nodes.

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Strictly speaking, this type of topological protection is imperfect, in the sense that node mixing is possible by a perturbation, which has a nonzero Fourier component at the momentum, separating the Weyl nodes. In practice, this is not a significant restriction. The main type of perturbation, that will be present in experimental systems, in disorder potential. This will, in general, have a nonzero Fourier component at any momentum. However, as long as this Fourier component has a zero mean, as one would expect for a random potential, it will not open a gap

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