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

TL;DR

This paper derives the electric current induced on metal and superconductor surfaces by axion or hidden photon dark matter, considering boundary conditions, and discusses the potential for detecting such currents.

Contribution

It provides a new theoretical framework for calculating surface electric currents induced by bosonic dark matter, incorporating boundary conditions.

Findings

Derived expressions for surface electric currents induced by axion/hidden photon dark matter.

Analyzed the detection prospects of these induced currents.

Highlighted the importance of boundary conditions in the theoretical modeling.

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.