Title	Symmetry Breaking in the Hartree-Fock Homogeneous Electron Gas
Creator	Gontier, David
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2019-01-29T14:32
Description	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.
Extent	24.0 minutes
Subject	Mathematics; Partial differential equations; Quantum theory; Applied mathematics
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: Paris-Dauphine
Series	BIRS Workshop Lecture Videos (Banff, Alta)
Date Available	2019-07-29
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0380202
URI	http://hdl.handle.net/2429/71124
Affiliation	Non UBC
Peer Review Status	Unreviewed
Scholarly Level	Faculty
Rights URI	http://creativecommons.org/licenses/by-nc-nd/4.0/
Aggregated Source Repository	DSpace

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