Photoinduced supercurrents and Hall effect in 2D superconductors
We consider a two-dimensional superconductor with a built-in supercurrent, exposed to circularly-polarized external electromagnetic field with the frequency of the order of the superconducting gap. In the system, there emerges an electric current due to optical transitions of the quasiparticles across the gap. Its direction is transverse to the initial supercurrent. This effect is second-order with respect to the external electromagnetic field amplitude. Thus, we propose a photoinduced Hall effect for the Cooper pairs and build a microscopic theory of the effect in the case of weak disorder.