Inhomogeneity and Current Corrections to a Non-uniform Electronic System in Strong Magnetic Fields

TL;DR

This paper derives gradient and current corrections to the energy functional of non-uniform electronic systems in strong magnetic fields using Current-Density Functional Theory, revealing new effects on contraction behavior.

Contribution

It introduces new gradient terms accounting for current variations, extending existing functionals for electronic systems in magnetic fields.

Findings

Derived the Tomishima-Shinjo functional neglecting current variation.

Identified new gradient terms affecting contraction effects.

Enhanced understanding of electronic behavior in strong magnetic fields.

Abstract

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.