Anomalous transport properties of tilted Weyl semimetals

The anomalous transport properties of time-reversal-breaking Weyl semimetal with a tilted conical spectrum around the Weyl points will be discussed. In addition to the contribution coming from the relative location of the Weyl points, the tilting gives rise to anisotropic Fermi surface contribution to the observables. For example, the anomalous Hall conductivity is not universal and can change sign as a function of the parameters quantifying the tilts.

I will also comment on the study of the interplay of disorder and bandstructure topology in tilted Weyl semimetal. The spectrum of particles is given by the eigenvalues of non-Hermitian matrix which contains contributions from Weyl Hamiltonian and complex self-energy due to electron elastic scattering on disorder. The tilt induced matrix structure of the self-energy gives rise to a flat band at the interface of the electron and hole pockets depending on the Weyl cone inclination.