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Supercell Calculations in the Reduced Hartree–Fock Model for Crystals with Local Defects

David Gontier , Salma Lahbabi
Applied Mathematics Research eXpress, 2017, 2017 (1), pp.1-64. ⟨10.1093/amrx/abw010⟩
Journal articles hal-01436596v1

Convergence rates of supercell calculations in the reduced Hartree−Fock model

David Gontier , Salma Lahbabi
ESAIM: Mathematical Modelling and Numerical Analysis, 2016, 50 (5), pp.1403 - 1424. ⟨10.1051/m2an/2015084⟩
Journal articles hal-01238623v1

Minnaert resonances for acoustic waves in bubbly media

David Gontier , Habib Ammari , Brian Fitzpatrick , Hyundae Lee , Hai Zhang
Annales de l'Institut Henri Poincaré C, Analyse non linéaire, 2018, 35 (7), pp.1975-1998. ⟨10.1016/j.anihpc.2018.03.007⟩
Journal articles hal-03363271v1

Sub-wavelength focusing of acoustic waves in bubbly media

David Gontier , Habib Ammari , Brian Fitzpatrick , Hyundae Lee , Hai Zhang
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 2017, 473 (2208), pp.20170469. ⟨10.1098/rspa.2017.0469⟩
Journal articles hal-03363278v1

Photoconductive switch applied to high power ultra-wideband unipolar and bipolar electrical pulse generation

Alain Barthélémy , Bertrand Vergne , Vincent Couderc , Michèle Lalande , Valerie Bertrand , et al.
European MicroWave Conference EuMW, Oct 2005, Paris, France
Conference papers hal-02469403v1

Spin symmetry breaking in the translation-invariant Hartree-Fock Uniform Electron Gas

David Gontier , Mathieu Lewin
SIAM Journal on Mathematical Analysis, 2019, 51 (4), pp.3388-3423. ⟨10.1137/19M1243142⟩
Journal articles hal-01961536v1
Image document

Mathematical contributions to electronic structure calculations

David Gontier
Mathematical Physics [math-ph]. Universite Paris Est, 2015. English. ⟨NNT : ⟩
Theses tel-01238627v1

Localised Wannier functions in metallic systems

Horia D. Cornean , David Gontier , Antoine Levitt , Domenico Monaco
Annales Henri Poincaré, 2019, 20 (4), pp.1367-1391. ⟨10.1007/s00023-019-00767-6⟩
Journal articles hal-01671848v1

Density Functional Theory for two-dimensional homogeneous materials with magnetic fields

David Gontier , Salma Lahbabi , Abdallah Maichine
2022
Preprints, Working Papers, ... hal-03881872v1

$N$-representability in non-collinear spin-polarized density functional theory

David Gontier
Physical Review Letters, 2013, Volume 111, Issue 15, pp 3001-3004. ⟨10.1103/PhysRevLett.111.153001⟩
Journal articles hal-00916096v1
Image document

Numerical construction of Wannier functions through homotopy

David Gontier , Antoine Levitt , Sami Siraj-Dine
Journal of Mathematical Physics, 2019, 60, pp.031901. ⟨10.1063/1.5085753⟩
Journal articles hal-01955842v1
Image document

Phase transition in the Peierls model for polyacetylene

David Gontier , Adéchola Kouande , Eric Séré
Annales Henri Poincaré, In press, ⟨10.1007/s00023-023-01299-w⟩
Journal articles hal-03852348v3
Image document

Mathematical contributions to the calculations of electronic structures

David Gontier
General Mathematics [math.GM]. Université Paris-Est, 2015. English. ⟨NNT : 2015PESC1109⟩
Theses tel-01271846v1
Image document

Numerical reconstruction of the first band(s) in an inverse Hill's problem

Athmane Bakhta , Virginie Ehrlacher , David Gontier
ESAIM: Control, Optimisation and Calculus of Variations, 2020, ⟨10.1051/cocv/2019031⟩
Journal articles hal-01591133v1

Unipolar and bipolar electrical pulse generator using photoconductive semiconductor switches

Alain Barthélémy , Bertrand Vergne , Vincent Couderc , Michèle Lalande , Valerie Bertrand , et al.
SPIE Optics/Photonics in Security & Defence, Sep 2005, Bruges, Belgium
Conference papers hal-02469380v1

Exponential decay of the critical points in a discrete model of polyacetylene

David Gontier , Adechola E. K. Kouande , Éric Séré
2023
Preprints, Working Papers, ... hal-04175696v1

A mathematical analysis of the GW0 method for computing electronic excited state energies of molecules

Eric Cancès , David Gontier , Gabriel Stoltz
Reviews in Mathematical Physics, 2016, 28 (4), pp.1650008. ⟨10.1142/S0129055X16500082⟩
Journal articles hal-01160926v1

Symmetric Fermi projections and Kitaev’s table: Topological phases of matter in low dimensions

David Gontier , Domenico Monaco , Solal Perrin-Roussel
Journal of Mathematical Physics, 2022, 63 (4), pp.041902. ⟨10.1063/5.0084326⟩
Journal articles hal-03649134v1
Image document

Pure-state $N$-representability in current-spin-density functional theory

David Gontier
Communications in Mathematical Sciences, 2016, 14 (4), pp.987 - 1003. ⟨10.4310/CMS.2016.v14.n4.a6⟩
Journal articles hal-01238622v1

The nonlinear Schr\"odinger equation for orthonormal functions: II. Application to Lieb-Thirring inequalities

Rupert L. Frank , David Gontier , Mathieu Lewin
Communications in Mathematical Physics, 2021, 384, pp.1783-1828. ⟨10.1007/s00220-021-04039-5⟩
Journal articles hal-02477148v1

Ultra-wideband electrical pulse generator using photoconductive semiconductor switches

Alain Barthélémy , Bertrand Vergne , Vincent Couderc , Michèle Lalande , Valerie Bertrand , et al.
IEEE International Pulsed Power Conference (PPC), Jun 2005, Monterey, United States
Conference papers hal-02469474v1

Sampling based on timing: Time encoding machines on shift-invariant subspaces

David Gontier , Martin Vetterli
Applied and Computational Harmonic Analysis, 2014, 36 (1), pp.63 - 78. ⟨10.1016/j.acha.2013.02.002⟩
Journal articles hal-01425008v1

Spectral properties of periodic systems cut at an angle

David Gontier
Comptes Rendus. Mathématique, 2021, 359 (8), pp.949-958. ⟨10.5802/crmath.251⟩
Journal articles hal-03406026v1

Edge states in ordinary differential equations for dislocations

David Gontier
Journal of Mathematical Physics, 2020, 61 (4), pp.043507. ⟨10.1063/1.5128886⟩
Journal articles hal-03158894v1

Simple derivation of moiré-scale continuous models for twisted bilayer graphene

Éric Cancès , Louis Garrigue , David Gontier
Physical Review B, 2023, 107 (15), pp.155403. ⟨10.1103/PhysRevB.107.155403⟩
Journal articles hal-03859731v1

Numerical quadrature in the Brillouin zone for periodic Schrödinger operators

Eric Cancès , Virginie Ehrlacher , David Gontier , Antoine Levitt , Damiano Lombardi
Numerische Mathematik, 2020, 144, pp.479-526. ⟨10.1007/s00211-019-01096-w⟩
Journal articles hal-01796582v1

A mathematical and numerical framework for bubble meta-screens

David Gontier , Habib Ammari , Brian Fitzpatrick , Hyundae Lee , Hai Zhang
SIAM Journal on Applied Mathematics, 2017, 77 (5), pp.1827--1850. ⟨10.1137/16M1090235⟩
Journal articles hal-01615041v1

The reduced Hartree-Fock model with self-generated magnetic fields

David Gontier , Salma Lahbabi
Journal of Mathematical Physics, 2019, ⟨10.1063/1.5100919⟩
Journal articles hal-02107680v1

Lower Bound on the Hartree-Fock Energy of the Electron Gas

David Gontier , Christian Hainzl , Mathieu Lewin
Physical Review A, 2019, 99, pp.052501. ⟨10.1103/PhysRevA.99.052501⟩
Journal articles hal-01944144v1

The periodic Lieb-Thirring inequality

Rupert L. Frank , David Gontier , Mathieu Lewin
Pavel Exner, Rupert Frank, Fritz Gesztesy, Helge Holden, Timo Weidl. Partial Differential Equations, Spectral Theory, and Mathematical Physics. The Ari Laptev Anniversary Volume, 18, EMS Publishing House, pp.135--154, 2021, EMS Series of Congress Reports, 978-3-98547-007-5. ⟨10.4171/ECR/18⟩
Book sections hal-02964212v1