Inhomogeneity and Current Corrections to a Non-uniform Electronic System in Strong Magnetic Fields
Using the polarizability of a free electron gas in a magnetic field and the Current-Density Functional Theory (CDFT) developed by Vignale and Rasolt, we derive the gradient and current corrections for the energy functional of a non-uniform electronic system in a strong magnetic field. 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.
cond-mat↗