Jul 6 – 8, 2022
Institut de Mathématiques de Bordeaux
Europe/Paris timezone

Jérôme Cayssol: Dirac materials.

Jul 6, 2022, 2:30 PM
Salle de Conférences (Institut de Mathématiques de Bordeaux)

Salle de Conférences

Institut de Mathématiques de Bordeaux

351 cours de la libération 33400 TALENCE


In this talk, I will explain how the Dirac equation can be used to describe the physics of materials like graphene and topological insulators. I will present briefly the topological band theory for Bloch electrons in crystalline materials. Specific examples of tight-binding models giving rise to lattice versions of the Dirac equation in various space dimension will be discussed in various space dimensions : 1D (Su–Schrieffer–Heeger and Rice–Mele models), 2D (graphene, boron nitride, Haldane model) and 3D (Weyl semi-metals). I will show how the Dirac equation provides a description of the physics near specific points in reciprocal space, and also allows to predict edge/surface states between various Dirac materials.
J. Cayssol and J.N. Fuchs, "Topological and geometrical aspects of band theory", J. Phys. Mater. 4, 034007 (2021).

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