Abstract A dark matter axion with mass ma induces an oscillating electric field in a cylindrical sample placed under a magnetic field B0 parallel to the cylinder axis. When the cylinder is made of a highly electrically conductive material, the induced oscillating current flows only at the surface. In contrast, if the cylinder is composed of a material with small conductivity, e. g. σ = 10−3eV, the electriccurrent flows inside the bulk of the cylinder. Within the QCD axion model, the current I is estimated as I (=10^-3eV) 2. 8 10^-14 Ag (R6cm) ² (10^{-3eV}) (B₀15T) (10) (ₐ0. 3GeVcm^{-3}) ^1/2 for ma = 10−4eV, with radius R, permittivity ε = 10 of the cylinder and axion energy density ρa, where gγ is model dependent parameter; gγ (KSVZ) = −0. 96 and gγ (DFSZ) = 0. 37. Because the current is proportional to R2, using large sample with R = 80cm, we have large signal-noise ratio (1) even in temperature T = 4K, I (=10^-3eV) Iₙ ({ =10^{-3eV) }} t₎₁{2 } 1. 1g (4KT) ^1/2 (L100cm) ^1/2 (R80cm) (B₀7T) (ₐ0. 3GeVcm^-3) ^1/2 (t₎₁10³\, s) ^1/2 for ma = 10−4eV with ε = 10 and σ = εma, where thermal noise is Iₙ=2T { Rc} with δω = 10−6ma and resistance Rc=L R² of the cylinder with length L. Although a superconducting solenoid sufficiently large to accommodate such a sample is required, the detection of dark matter axions in our proposal may be feasible in the mass range ma = 10−4-10−3eV.
Aiichi Iwazaki (Mon,) studied this question.