I refer to

Hohenberg-Kohn theorem including electron spin

Xiao-Yin Pan and Viraht Sahni

Phys. Rev. A 86, 042502 – Published 3 October 2012

linked below.

This theorem can be used to develop density functional theoretical methods including magnetic fields and current densities.

Are there any program packages available implementing such methods?

http://journals.aps.org/pra/abstract/10.1103/PhysRevA.86.042502