4 papers
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…
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…
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…
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…