56 citations · 259 across the 34 of their papers we have counts for
4 papers · 1 filter
Numerical construction of Wannier functions through homotopy
David Gontier, Antoine Levitt, Sami Siraj-Dine
We provide a mathematically proven, simple and efficient algorithm to build localised Wannier functions, with the only requirement that the system has vanishing Chern numbers. Our…
Spin symmetry breaking in the translation-invariant Hartree-Fock electron gas
David Gontier, Mathieu Lewin
We study the breaking of spin symmetry for the nonlinear Hartree-Fock model describing an infinite translation-invariant interacting quantum gas (fluid phase). At zero temperature…
Lower Bound on the Hartree-Fock Energy of the Electron Gas
David Gontier, Christian Hainzl, Mathieu Lewin
The Hartree-Fock ground state of the Homogeneous Electron Gas is never translation invariant, even at high densities. As proved by Overhauser, the (paramagnetic) free Fermi Gas is…
Numerical quadrature in the Brillouin zone for periodic Schrodinger operators
Eric Cances, Virginie Ehrlacher, David Gontier +2
As a consequence of Bloch's theorem, the numerical computation of the fermionic ground state density matrices and energies of periodic Schrodinger operators involves integrals over…