  Dipolar parity anomaly can be induced by spatiotemporally weak-dependent
energy-momentum separation of paired Dirac points in two-dimensional Dirac
semimetals. Here we reveal topological currents arising from this kind of
anomaly. A corresponding lattice model is proposed to emulate the topological
currents by using two-component ultracold atoms in a two-dimensional optical
Raman lattice. In our scheme, the topological currents can be generated by
varying on-site coupling between the two atomic components in time and tuned
via the laser fields. Moreover, we show that the topological particle currents
can directly be detected from measuring the drift of the center of mass of the
atomic gases.
