Symmetry breaking in the self-consistent Kohn-Sham equations

Details Symmetry breaking in the self-consistent Kohn-Sham equations Symmetry breaking in the self-consistent Kohn-Sham equations

2005-02-02

arxiv.org/abs/cond-mat/0502065v3

J. Phys. A: Math. and Gen. 38, 5647-5657 (2005)

Physics

Condensed Matter

Statistical Mechanics

a few typos eliminated

Scientific paper

10.1088/0305-4470/38/25/004

The Kohn-Sham (KS) equations determine, in a self-consistent way, the particle density of an interacting fermion system at thermal equilibrium. We consider a situation when the KS equations are known to have a unique solution at high temperatures and this solution is a uniform particle density. We show that, at zero temperature, there are stable solutions that are not uniform. We provide the general principles behind this phenomenon, namely the conditions when it can be observed and how to construct these non-uniform solutions. Two concrete examples are provided, including fermions on the sphere which are shown to crystallize in a structure that resembles the C$_{60}$ molecule.

Affiliated with

Also associated with

No associations

Rating

Symmetry breaking in the self-consistent Kohn-Sham equations does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Symmetry breaking in the self-consistent Kohn-Sham equations, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Symmetry breaking in the self-consistent Kohn-Sham equations will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-60903