Magnetic properties of a nearly classical one-component plasma in three or two dimensions

The magnetic properties of the one-component plasma, in three and two dimensions, are studied in the nearly classical case. Since magnetism is an essentially quantum effect, Planck's constant ℏ can be used as a small parameter. A generalized Wigner-Kirkwood expansion in powers of ℏ2 is derived. This expansion is used for computing the induced magnetization. The displacement of the liquid-solid phase transition of the model, when a magnetic field is applied, is discussed. The model is applicable to electrons deposited at the surface of liquid helium.