56 citations · 259 across the 34 of their papers we have counts for
3 papers · 2 filters
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…
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…