Introduction to Dirac materials and topological insulators

Jérôme Cayssol

doi:10.1016/j.crhy.2013.09.012

Topological insulators/Isolants topologiques

Introduction to Dirac materials and topological insulators
[Introduction aux matériaux de Dirac et aux isolants topologiques]

Jérôme Cayssol ^1,²

¹ Max-Planck-Institut für Physik komplexer Systeme, Nöthnitzer Str. 38, 01187 Dresden, Germany
² LOMA (UMR 5798), CNRS and University Bordeaux-1, 33045 Talence, France

Comptes Rendus. Physique, Volume 14 (2013) no. 9-10, pp. 760-778.

Résumé
Abstract

Nous présentons dans cet article une courte introduction didactique à la physique des matériaux de Dirac, restreinte au graphène et à des isolants topologiques en deux dimensions. Nous commençons par un bref rappel des équations de Dirac et de Weyl dans le contexte de la physique des particules. Abordant les systèmes relatifs à la matière condensée, le graphène semi-métallique et divers isolants de Dirac sont présentés, parmi lesquels les isolants topologiques de Haldane et de Kane–Mele. Nous discutons aussi brièvement les réalisations expérimentales avec des matériaux à fort couplage spin–orbite.

We present a short pedagogical introduction to the physics of Dirac materials, restricted to graphene and two-dimensional topological insulators. We start with a brief reminder of the Dirac and Weyl equations in the particle physics context. Turning to condensed matter systems, semimetallic graphene and various Dirac insulators are introduced, including the Haldane and the Kane–Mele topological insulators. We also discuss briefly experimental realizations in materials with strong spin–orbit coupling.

Publié le : 2013-10-14

DOI : 10.1016/j.crhy.2013.09.012

Keywords: Dirac fermions, Graphene, Topological insulators, Edge modes
Mot clés : Fermions de Dirac, Graphène, Isolants topologiques, États de bord

Affiliations des auteurs :

Jérôme Cayssol ^{1, 2}

¹ Max-Planck-Institut für Physik komplexer Systeme, Nöthnitzer Str. 38, 01187 Dresden, Germany
² LOMA (UMR 5798), CNRS and University Bordeaux-1, 33045 Talence, France

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Jérôme Cayssol. Introduction to Dirac materials and topological insulators. Comptes Rendus. Physique, Volume 14 (2013) no. 9-10, pp. 760-778. doi : 10.1016/j.crhy.2013.09.012. https://comptes-rendus.academie-sciences.fr/physique/articles/10.1016/j.crhy.2013.09.012/

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