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[00228] Density functional theory for two dimensional homogeneous materials

  • Session Time & Room : 5B (Aug.25, 10:40-12:20) @G502
  • Type : Contributed Talk
  • Abstract : We study Density Functional Theory models for 2D materials. We first show that a homogeneous material can be seen as a limit of crystals. Next, we derive reduced models in the orthogonal direction. We show how the different terms of the energy are modified and prove some properties of the ground state. In Kohn-Sham models, we prove that the Pauli principle is replaced by a penalization term in the energy.
  • Classification : 35J50, 47J30, 47N50, Mathematical physics
  • Format : Talk at Waseda University
  • Author(s) :
    • Salma Lahbabi (UHIIC, UM6P)
    • David Gontier (Université Paris Dauphine)
    • Salma Maichine (UM6P)
    • Abdelqoddous Moussa (UM6P)