Electric current on surface of a metal/superconductor in axion/hidden-photon background

Abstract

We derive the electric current on surface of a normal metal or superconductor induced by the light bosonic dark matter, such as axion or hidden photon, by appropriately taking account of the boundary condition of the electric and magnetic field at the surface. We discuss detection possibility of such an electric current.

Detectable Electric Current induced by Dark Matter Axion in a Conductor

“…This system resembles the system used in ADMX, where conductor of cylinder form is used to obtain the resonance. In addition to the amplification of radiation by the tuning the spacing, we also amplify the electric current with LC circuit [12,13] by tuning parameters of the circuit. Consequently, we can obtain sufficiently large power ∼ 10 −17 W(Q/10 6 )(10 −5 eV/m a ) 1/2 (B/5T) 2 (L/10cm) 2 (σ/3.3 × 10 7 eV) to be detected by the circuit with Q value.…”

“…O is time average of O. In order to detect the electric current, we amplify the power P a using LC circuit [12,13].…”