activity
20182026
most citedNumerical construction of Wannier functions through homotopy

9 citations · 9 across the 5 of their papers we have counts for

collaborators

5 papers

math.NA2026

Numerical methods for the computation of densities of states of periodic operators

Ewen Lallinec, Antoine Levitt

We present a comparative study of numerical methods for computingelectronic densities of states (DOS) in periodic systems. We provide a detailed analysis of the domain of validity…

cond-mat.mtrl-sci2025

Low-temperature behavior of density-functional theory for metals based on density-functional perturbation theory and Sommerfeld expansion

Xavier Gonze, Christian Tantardini, Antoine Levitt

The temperature dependence of most solid-state properties is dominated by lattice vibrations, but metals display notable purely electronic effects at low temperature, such as the l…

math-ph2025

Decay of Interatomic Force Constants in the Reduced Hartree-Fock Model

Eric Cances, Antoine Levitt, Jack Thomas

We study the decay of the interatomic force constants (equivalently, the smoothness properties of the dynamical matrix) in perfect crystals both at finite electronic temperature, a…

math.AP2025

Magnetic Thomas-Fermi theory for 2D abelian anyons

Antoine Levitt, Douglas Lundholm, Nicolas Rougerie

Two-dimensional abelian anyons are, in the magnetic gauge picture, represented as fermions coupled to magnetic flux tubes. For the ground state of such a system in a trapping poten…

math-ph2018★ 9 cited

Numerical construction of Wannier functions through homotopy

David Gontier, Antoine Levitt, Sami Siraj-Dine

We provide a mathematically proven, simple and efficient algorithm to build localised Wannier functions, with the only requirement that the system has vanishing Chern numbers. Our…