INHOMOGENEITY AND CURRENT CORRECTIONS TO A NONUNIFORM ELECTRONIC SYSTEM IN STRONG MAGNETIC-FIELDS

Using the polarizability of a free electron gas in a magnetic field an d the current-density functional theory (CDFT) developed by Vignale an d Rasolt, we derive the gradient and current corrections for the energ y functional of a non-uniform electronic system in a strong magnetic f ield. First, we find the Tomishima-Shinjo functional by neglecting the current variation. Taking into account the current variation leads to new gradient terms which change contraction effects in the direction perpendicular to the magnetic field.