Chiral torsional effect

Understand

We propose the new nondissipative transport effect - the appearance of axial current of thermal quasiparticles in the presence of background gravity with torsion.

• For the non-interacting model of massless Dirac fermions the response of the axial current to torsion is derived.
• The chiral vortical effect appears to be the particular case of the chiral torsional effect.
• The proposed effect may be observed in the condensed matter systems with emergent relativistic invariance (Weyl/Dirac semimetals and the $^3$He-A superfluid).