Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Mean-field models for disordered crystals   In this article, we set up a functional setting for mean-field electronic
structure models of Hartree-Fock or Kohn-Sham types for disordered crystals.
The electrons are quantum particles and the nuclei are classical point-like
articles whose positions and charges are random. We prove the existence of a
minimizer of the energy per unit volume and the uniqueness of the ground state
density of such disordered crystals, for the reduced Hartree-Fock model (rHF).
We consider both (short-range) Yukawa and (long-range) Coulomb interactions. In
the former case, we prove in addition that the rHF ground state density matrix
satisfies a self-consistent equation, and that our model for disordered
crystals is the thermodynamic limit of the supercell model.

32
The categories of this paper are: atom-ph
8
The categories of this paper are: hep-ex
3
The categories of this paper are: physics
35
The categories of this paper are: mtrl-th
13
The categories of this paper are: quant-ph
36
The categories of this paper are: cmp-lg
0
The categories of this paper are: hep-ph
26
The categories of this paper are: bayes-an
11
The categories of this paper are: hep-lat
17
The categories of this paper are: q-fin
1
The categories of this paper are: cs
29
The categories of this paper are: funct-an
33
The categories of this paper are: plasm-ph
27
The categories of this paper are: comp-gas
5
The categories of this paper are: gr-qc
18
The categories of this paper are: econ