Articles

Gontier D., Lahbabi S., Maichine A. (2023), Density functional theory for two-dimensional homogeneous materials with magnetic fields, Journal of Functional Analysis, vol. 285, n°9, p. 110100

Dolbeault J., Gontier D., Pizzichillo F., Van Den Bosch H. (2023), Keller and Lieb-Thirring estimates of the eigenvalues in the gap of Dirac operators, Revista Matematica Iberoamericana

Cancès É., Garrigue L., Gontier D. (2023), Simple derivation of moiré-scale continuous models for twisted bilayer graphene, Physical Review. B, Condensed matter and materials physics, vol. 107, n°15, p. 155403

Gontier D., Kouande A., Séré É. (2023), Phase transition in the Peierls model for polyacetylene, Annales Henri Poincaré

Gontier D., Monaco D., Perrin-Roussel S. (2022), Symmetric Fermi projections and Kitaev’s table: Topological phases of matter in low dimensions, Journal of Mathematical Physics, vol. 63, n°4

Gontier D. (2022), Edge states for second order elliptic operators in a channel, Journal of Spectral Theory, vol. 12, n°3, p. 1155-1202

Gontier D. (2021), Spectral properties of periodic systems cut at an angle, Comptes rendus. Mathématique, vol. 359, n°8, p. 949-958

Gontier D., Lewin M., Nazar F. (2021), The Nonlinear Schrödinger Equation for Orthonormal Functions : Existence of Ground States, Archive for Rational Mechanics and Analysis, vol. 240, n°3, p. 1203-1254

Gontier D., Lahbabi S., Maichine A. (2021), Density Functional Theory for two-dimensional homogeneous materials, Communications in Mathematical Physics, vol. 388, p. 1475–1505

Frank R., Gontier D., Lewin M. (2021), The Nonlinear Schrödinger Equation for Orthonormal Functions II: Application to Lieb–Thirring Inequalities, Communications in Mathematical Physics, vol. 384, p. 1783-1828

Bakhta A., Ehrlacher V., Gontier D. (2020), Numerical reconstruction of the first band(s) in an inverse Hill's problem, ESAIM. Control, Optimisation and Calculus of Variations, vol. 26, n°59

Cancès É., Ehrlacher V., Gontier D., Levitt A., Lombardi D. (2020), Numerical quadrature in the Brillouin zone for periodic Schrödinger operators, Numerische Mathematik, vol. 144, n°3, p. 479-526

Gontier D. (2020), Edge states in ordinary differential equations for dislocations, Journal of Mathematical Physics, vol. 61, n°4

Gontier D., Lahbabi S. (2019), The reduced Hartree-Fock model with self-generated magnetic fields, Journal of Mathematical Physics, vol. 60, n°8

Gontier D., Lewin M. (2019), Spin symmetry breaking in the translation-invariant Hartree-Fock Uniform Electron Gas, Multiscale Modeling and Simulation: A SIAM Interdisciplinary Journal, vol. 21, n°4, p. 3388–3423

Gontier D., Hainzl C., Lewin M. (2019), Lower Bound on the Hartree-Fock Energy of the Electron Gas, Physical Review. A, Atomic, Molecular and Optical Physics and Quantum Information, vol. 99, n°5

Gontier D., Levitt A., Siraj-Dine S. (2019), Numerical construction of Wannier functions through homotopy, Journal of Mathematical Physics, vol. 60, n°2019

Cornean H., Gontier D., Levitt A., Monaco D. (2019), Localised Wannier Functions in Metallic Systems, Annales Henri Poincaré, vol. 20, n°4, p. 1367–1391

Ammari H., Fitzpatrick B., Gontier D., Lee H., Zhang H. (2018), Minnaert resonances for acoustic waves in bubbly media, Annales de l'Institut Henri Poincaré (C) Analyse non linéaire, vol. 35, n°7, p. 1975-1998

Ammari H., Fitzpatrick B., Gontier D., Lee H., Zhang H. (2017), Sub-wavelength focusing of acoustic waves in bubbly media, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol. 473, n°2208

Ammari H., Fitzpatrick B., Gontier D., Lee H., Zhang H. (2017), A Mathematical and Numerical Framework for Bubble Meta-Screens, SIAM Journal on Applied Mathematics, vol. 77, n°5, p. 1827-1850

Chapitres d'ouvrage

Gontier D., Lu J., Ortner C. (2023), Thermodynamic Limits of Electronic Systems, in Eric Cancès, Gero Friesecke, Density Functional Theory Modeling, Mathematical Analysis, Computational Methods, and Applications Springer, p. 307-331

Communications avec actes

Varkonyi P., Gontier D., Burdick J. (2011), Stabilization of rigid bodies with frictional supports against dynamic perturbations, in , Piscataway, NJ, IEEE - Institute of Electrical and Electronics Engineers, 281-286 p.

Prépublications / Cahiers de recherche

Gomez Araya C., Gontier D., Van Den Bosch H. (2024), Edge states for tight-binding operators with soft walls, Paris, Cahier de recherche CEREMADE, Université Paris Dauphine-PSL, 37 p.

Gontier D., Kouande A., Séré É. (2023), Exponential decay of the critical points in a discrete model of polyacetylene, Paris, Cahier de recherche CEREMADE, Université Paris Dauphine-PSL, 17 p.

Gontier D., Lahbabi S., Maichine A. (2022), Density Functional Theory for two-dimensional homogeneous materials with magnetic fields, Paris, Cahier de recherche CEREMADE, Université Paris Dauphine-PSL, 19 p.

Cancès É., Garrigue L., Gontier D. (2022), A simple derivation of moiré-scale continuous models for twisted bilayer graphene, Paris, Cahier de recherche CEREMADE, Université Paris Dauphine-PSL, 35 p.

Cancès É., Garrigue L., Gontier D. (2021), Second-order homogenization of periodic Schrödinger operators with highly oscillating potentials, Paris, Cahier de recherche CEREMADE, Université Paris Dauphine-PSL, 44 p.

Frank R., Gontier D., Lewin M. (2021), Optimizers for the finite-rank Lieb-Thirring inequality, Paris, Cahier de recherche CEREMADE, Université Paris Dauphine-PSL, 52 p.

Gontier D. (2021), Edge states for second order elliptic operators, Cahier de recherche CEREMADE, Université Paris Dauphine-PSL, 28 p.