Hall Effect of Light
Masaru Onoda, Shuichi Murakami, Naoto Nagaosa
Abstract
We derive the semiclassical equation of motion for the wave-packet of light taking into account the Berry curvature in the momentum space. This equation naturally describes the interplay between the orbital and spin angular momenta, i.e., the conservation of the total angular momentum of light. This leads to the shift of the wave-packet motion perpendicular to the gradient of the dielectric constant, i.e., the polarization-dependent Hall effect of light. An enhancement of this effect in the photonic crystal is also proposed.
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