  Weyl semimetals are materials where electrons behave effectively as a kind of
massless relativistic particles known asWeyl fermions. These particles occur in
two flavours, or chiralities, and are subject to quantum anomalies, the
breaking of a conservation law by quantum fluctuations. For instance, the
number of Weyl fermions of each chirality is not independently conserved in
parallel electric and magnetic field, a phenomenon known as the chiral anomaly.
In addition, an underlying curved spacetime provides a distinct contribution to
a chiral imbalance, an effect known as the mixed axial-gravitational anomaly,
which remains experimentally elusive. However, the presence of a mixed
gauge-gravitational anomaly has recently been tied to thermoelectrical
transport in a magnetic field, even in flat spacetime, opening the door to
experimentally probe such type of anomalies in Weyl semimetals. Using a
temperature gradient, we experimentally observe a positive longitudinal
magnetothermoelectric conductance (PMTC) in the Weyl semimetal NbP for
collinear temperature gradients and magnetic fields (DT || B) that vanishes in
the ultra quantum limit. This observation is consistent with the presence of a
mixed axial-gravitational anomaly. Our work provides clear experimental
evidence for the existence of a mixed axial-gravitational anomaly of Weyl
fermions, an outstanding theoretical concept that has so far eluded
experimental detection.
