Chiral Hall Effect and Chiral Electric Waves

Understand

We investigate the vector and axial currents induced by external electromagnetic fields and chemical potentials in chiral systems at finite temperature.

• Similar to the normal Hall effect, we find that an axial Hall current is generated in the presence of the electromagnetic fields along with an axial chemical potential, which may be dubbed as the "chiral Hall effect"(CHE).
• The CHE is related to the interactions of chiral fermions and exists with the a nonzero axial chemical potential.
• We argue that the CHE could lead to nontrivial charge distributions at different rapidity in asymmetric heavy ion collisions.