Landau diamagnetism

Landau diamagnetism is the orbital response of mobile Electrons to an applied magnetic field, arising from quantization of their transverse motion. For a noninteracting three-dimensional isotropic Electron gas with quadratic dispersion, electron spin with $g=2$ and magnetic fields weak enough for the smooth-response limit, its susceptibility is ${\chi }_L=-{\chi }_P/3$, where ${\chi }_P$ is the Pauli paramagnetism susceptibility. Band effective masses, interactions, dimensionality and resolved magnetic quantum oscillations can change this simple relation.