Many-body systems with chiral fermions can exhibit novel transport phenomena that violate parity and time reversal symmetries, such as the chiral magnetic effect, the anomalous Hall effect, and the anomalous generation of charge. Based on the Maxwell-Chern-Simons electrodynamics, we examine some electromagnetic and optical properties of such systems including the electrostatics, the magnetostatics, the propagation of electromagnetic waves, the novel optical effects, etc. ELECTROMAGNETIC WAVE IN CHIRAL MATTERLet us first consider the propagation of electromagnetic (EM) wave in the chiral matter, i.e., let us seek for wave solutions to the sourceless MCS equations (J 0 = 0 and J = 0). As usual, we substitute the plane-wave

We study the Casimir effect in axion electrodynamics. A finite θ-term affects the energy dispersion relation of photon if θ is time and/or space dependent. We focus on a special case with linearly inhomogeneous θ along the z-axis. Then we demonstrate that the Casimir force between two parallel plates perpendicular to the z-axis can be either attractive or repulsive, dependent on the gradient of θ. We call this repulsive component in the Casimir force induced by inhomogeneous θ the anomalous Casimir effect.

We scrutinize the novel chiral transport phenomenon driven by spacetime torsion, namely, the chiral torsional effect (CTE). We calculate the torsion-induced chiral currents with finite temperature, density, and curvature in the most general torsional gravity theory. The conclusion complements the previous study on the CTE by including curvature and substantiates the relation between the CTE and the Nieh-Yan anomaly. We also analyze the response of chiral torsional current to an external electromagnetic field. The resulting topological current is analogous to that in the axion electrodynamics.

No abstract

We discuss the spin, the angular momentum, and the magnetic moment of rotating chiral fermions using a kinetic theory. We find that, in addition to the chiral vortical contribution along the rotation axis, finite circular spin polarization is induced by the spin-momentum correlation of chiral fermions, which is canceled by a change in the orbital angular momentum. We point out that the eddy magnetic moment is nonvanishing due to the g-factors, exhibiting the chiral Barnett effect.