Fourth Edition of the International Conference on Research in Applied Mathematics and Computer Science ICRAMCS 2022
 March 24-25-26, 2022
Online and Face-to-Face Conference

ICRAMCS, 4 (2022) | Proceedings ISSN: 2605-7700

Research Communication | Open Access
Volume 2022 | Communication ID 11
Density functional theory for two-dimensional homogeneous materials
Salma Lahbabi, David Gontier, Abdallah Maichine
Academic Editor: Youssef EL FOUTAYENI
Received
Accepted
Published
October 04, 2021
March 03, 2028
April 15, 2028

Abstract: We study Density Functional Theory models for systems which are transitionally invariant in some directions, such as a homogeneous 2-d slab in the 3-d space. Our interest comes from the recent developments of two-dimensional materials, such as graphene and phosphorene in the physics community [1]. Such systems, have been studied in [2] in the framework of Thomas-Fermi type models and in [3] in the framework of the reduced Hartree-Fock model. In this work, we focus on the simple case where the system is homogeneous, in the sense that it commutes with all translations in the plane, and we ...