Intrinsic anomalous Hall effect in type-II Weyl semimetals
A. A. Zyuzin+*, R. P. Tiwari+
Department of Physics, University of Basel, CH-4056 Basel, Switzerland
*Ioffe Physico-Technical Institute, 194021 St. Petersburg, Russia
Abstract
Recently, a new type of Weyl semimetal called
type-II Weyl semimetal has been
proposed. Unlike the usual (type-I) Weyl semimetal,
which has a point-like
Fermi surface, this new type of Weyl semimetal has a
tilted conical spectrum
around the Weyl point.
Here we calculate the anomalous Hall conductivity of
a Weyl semimetal with a
tilted conical spectrum
for a pair of Weyl points, using the Kubo formula.
We find that the Hall
conductivity is not universal and can change sign as
a function of the
parameters quantifying the tilts.
Our results suggest that even for the case where the
separation between the
Weyl points vanishes, tilting of the
conical spectrum could give rise to a finite anomalous
Hall effect, if the
tilts of the two cones are not identical.