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

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

1995-08-22

arxiv.org/abs/cond-mat/9508095v1

Physics

Condensed Matter

9 pages

Scientific paper

10.1016/0375-9601(95)00784-5

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.

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