56 citations · 259 across the 34 of their papers we have counts for
38 papers
Kohn-Sham models for encapsulated two-dimensional materials
Éric Cancès, David Gontier, Solal Perrin-Roussel
We study Kohn-Sham Density Functional Theory (DFT) models describing the electronic structure of two-dimensional materials placed in a three-dimensional environment, encapsulated b…
Peierls Instability in Hexagonal Lattices
David Gontier, Thaddeus Roussigné, Éric Séré
We investigate a conventional tight-binding model for graphene, where distortion of the honeycomb lattice is allowed, but penalized by a quadratic energy. We prove that the optimal…
Existence and non-existence of minimizers for a multi-particle model with concave nonlinearity
David Gontier, Salma Lahbabi, Simona Rota Nodari
We study a multi--particle model including a kinetic energy and a non linear local self-interaction, both in the bosonic and fermionic cases. In both cases, we prove that the model…
Topological junctions for one-dimensional systems
David Gontier, Clément Tauber
We study and classify the emergence of protected edge modes at the junction of one-dimensional materials. Using symmetries of Lagrangian planes in boundary symplectic spaces, we pr…
Edge states for tight-binding operators with soft walls
Camilo Gómez Araya, David Gontier, Hanne Van Den Bosch
We study one- and two-dimensional periodic tight-binding models under the presence of a potential that grows to infinity in one direction, hence preventing the particles to escape…
Thermodynamic Limits of Electronic Systems
David Gontier, Jianfeng Lu, Christoph Ortner
We review thermodynamic limits and scaling limits of electronic structure models for condensed matter. We discuss several mathematical ways to implement these limits in three model…