56 citations · 259 across the 34 of their papers we have counts for
5 papers · 1 filter
Density functional theory for homogeneous two dimensional materials with magnetic fields
David Gontier, Salma Lahbabi, Abdallah Maichine
This paper studies DFT models for homogeneous 2D materials in 3D space, under a constant perpendicular magnetic field. We show how to reduce the three--dimensional energy functiona…
Phase transition in the Peierls model for polyacetylene
David Gontier, Adéchola Kouande, Eric Séré
We consider the Peierls model for closed polyactetylene chains with an even number of carbon atoms as well as infinite chains, in the presence of temperature. We prove the existenc…
Keller and Lieb-Thirring estimates of the eigenvalues in the gap of Dirac operators
Jean Dolbeault, David Gontier, Fabio Pizzichillo +1
We estimate the lowest eigenvalue in the gap of the essential spectrum of a Dirac operator with mass in terms of a Lebesgue norm of the potential. Such a bound is the counterpart f…
A simple derivation of moiré-scale continuous models for twisted bilayer graphene
Eric Cancès, Louis Garrigue, David Gontier
We provide a formal derivation of a reduced model for twisted bilayer graphene (TBG) from Density Functional Theory. Our derivation is based on a variational approximation of the T…
Symmetric Fermi projections and Kitaev's table: topological phases of matter in low dimensions
David Gontier, Domenico Monaco, Solal Perrin-Roussel
We review Kitaev's celebrated "periodic table" for topological phases of condensed matter, which identifies ground states (Fermi projections) of gapped periodic quantum systems up…