Abstract
We theoretically study the longitudinal magneto-conductivity of tilted type-I Weyl semimetals with three different types of impurities via a two-node model with opposite chirality and tilt vector. The Landau level solutions suggest that the Fermi velocity of the zeroth Landau level is dressed by the tilt and the angle between the magnetic field and the tilt direction. At low temperature and only considering the zeroth Landau level, we find that the magneto-conductivity σzz depends strongly on the tilt-dressed Fermi velocity and thus shows a strong angle dependence. This angle dependence of conductivity will be enhanced by the increase of the degree of tilt. Besides, the conductivity is very sensitive to impurities. σzz decreases with increasing impurity density and scattering strength, and it has different magnetic field dependence for different scattering potentials. For short-range delta scattering, it is independent of B. But for long-range random Gaussian potential and screened Coulomb potential, it may show a linear and quasi-quadratic dependence on B, respectively. These findings help us have a better understanding of the magneto-transport properties of the tilted type-I Weyl semimetals.
Highlights
Weyl semimetal, a three-dimensional topological state of matter, has been very popular in recent years.[1–6] A Weyl semimetal has non-degenerate bands crossing at certain points, i.e., Weyl nodes, within the Brillouin zone
We first derive the spectra for tilted Weyl semimetals under a magnetic field via a two-node model with opposite chirality and tilt vector
The Landau level solutions suggest that the chiral linear zero modes always exist in type-I Weyl semimetal, but its Fermi velocity is strongly dressed by the degree of tilt as well as the angle γ between the magnetic field and the tilt direction
Summary
A three-dimensional topological state of matter, has been very popular in recent years.[1–6] A Weyl semimetal has non-degenerate bands crossing at certain points, i.e., Weyl nodes, within the Brillouin zone. When the tilt becomes larger than the Fermi velocity (overtilted), the Fermi surface is no longer a point but appears as electron and hole pockets at the contact This is referred to as type-II Weyl semimetal.[2,17]. There are a few experimental studies on the magneto-transport in type-II Weyl semimetals, such as the reported large magnetoresistance in WTe2,23,38 MoTe239 and WP2.40 These experimental studies have mentioned the angle-dependent property of the magnetoresistance. We first calculate the Landau level spectra for tilted Weyl semimetals under a magnetic field via a two-node model with opposite chirality and tilt.
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