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 ${H}_{l}=4\ensuremath{\pi}M\ifmmode\times\else\texttimes\fi{}(\frac{8}{3}){({k}_{F}{R}_{s})}^{2}$, 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 $4\ensuremath{\pi}M$.
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