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This fifteenth volume of the Poincare Seminar Series, Dirac Matter, explores the resurgence of Dirac's equation as a low-energy effective theory for conducting electrons in various condensed matter systems, notably graphene and topological insulators. The book features five pedagogical articles aimed at a broad scientific audience, highlighting the significance of Dirac's work. Key contributions include Philip Kim's detailed examination of graphene, tracing its discovery by Nobel laureates Kostya Novoselov and Andre Geim and discussing the relativistic quantum Hall effect. Mark Goerbig and Gilles Montambaux provide a comprehensive review of various materials known as "Dirac matter," focusing on the merging transition of Dirac cones in energy spectra during experiments involving the stretching of the hexagonal lattice. Hélène Bouchiat, along with Sophie Guéron and Chuan Li, discusses how impurity scattering in graphene devices reveals insights into the Dirac nature of electrons through electrical transport measurements. The final two articles concentrate on topological insulators. Laurent Lévy reviews recent experimental advancements in mercury-telluride samples, demonstrating the presence of a two-dimensional massless Dirac metal on the surface of a three-dimensional topological insulator. David Carpentier concludes with a geometric analysis of Bloch wave functions, their topological classification, and insights into three-
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Dirac Matter, Bertrand Duplantier
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- Année de publication
- 2018
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