Effective Magnetic Field in Metals

Abstract

A calculation is made of the effective local magnetic field seen by one electron in a metal. The model is a Fermi gas with an external applied magnetic field. The local field is obtained by evaluating the current-current interaction in a Hartree approximation. The local field is found to be $H_l=4\mathrm{}\pi M\times \left(\frac{8}{3}\right){\left(k_F{R}_s\right)}^2$, where $k_F$ is the Fermi momentum and $R_s$ is the screening distance. For $R_s=\frac{0.61}{k_F}$, the local field will be just $4\pi M$.