Non UBC
DSpace
David Gontier
2019-07-29T09:28:13Z
2019-01-29T14:32
In this talk, we discuss the phase diagram of the Hartree-Fock (HF) Homogeneous Electron Gas (HEG), both theoretically and numerically. We first recall the Overhauser spatial symmetry breaking which occurs for $T=0$ at all densities and we present a new lower bound on the energy gain due to this symmetry breaking. At high density we can prove that this gain can only be exponentially small. Then we focus on the fluid phase of the HF HEG and discuss spin symmetry breaking. We find two regions where the gas is either ferromagnetic or paramagnetic. We can partly justify the paramagnetic phase theoretically. This is joint work with Mathieu Lewin and Christian Hainzl.
https://circle.library.ubc.ca/rest/handle/2429/71124?expand=metadata
24.0 minutes
video/mp4
Author affiliation: Paris-Dauphine
Banff (Alta.)
10.14288/1.0380202
eng
Unreviewed
Vancouver : University of British Columbia Library
Banff International Research Station for Mathematical Innovation and Discovery
Attribution-NonCommercial-NoDerivatives 4.0 International
http://creativecommons.org/licenses/by-nc-nd/4.0/
Faculty
BIRS Workshop Lecture Videos (Banff, Alta)
Mathematics
Partial differential equations
Quantum theory
Applied mathematics
Symmetry Breaking in the Hartree-Fock Homogeneous Electron Gas
Moving Image
http://hdl.handle.net/2429/71124