Pauli paramagnetism and Landau diamagnetism

The Landau diamagnetism of conduction electrons at sufficiently high temperatures (larger than the Landau level spacing but smaller than the Fermi energy) is studied using the analogy with the Pauli paramagnetism. An expression for the diamagnetic susceptibility is obtained which is exactly identical to the well-known Landau result. While the model used assumes a quadratic dispersion law, it takes into account the difference between the carrier effective mass and the electron mass.