Existence of a metallic phase and upper bounds of the Hartree-Fock energy in the homogeneous electron gas

2008/07/04 by F. Delyon, Delyon, F., M. Duneau +5
Physics and Astronomy · #FOS: Physical sciences #Strongly Correlated Electrons (cond-mat.str-el) #cond-mat.str-el

paper · pdf · doi:10.48550/arxiv.0807.0770

12 pages, 2 figures

arxiv created 2008/07/04 · arxiv updated 2009/12/01

Abstract

We consider the ground state of the homogeneous electron gas and we prove that a Hartree-Fock solution, motivated by previous simulations, has lower energy than the Fermi gas in the large density limit. This solution is a metallic phase : the density modulation corresponds to a partially occupied crystal (the number of sites is larger than the number of electrons).

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