Dirac Matter, Hardcover by Duplantier, Bertrand (EDT); Rivasseau, Vincent (ED…

Dirac Matter, Hardcover by Duplantier, Bertrand (EDT); Rivasseau, Vincent (ED...

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Book Title:Dirac Matter
Number of Pages:Xii, 129 Pages
Language:English
Publisher:Springer International Publishing A&G
Topic:Physics / Condensed Matter,Physics / Mathematical & Computational
Publication Year:2017
Illustrator:Yes
Genre:Science
Item Weight:121.2 Oz
Author:Vincent Rivasseau
Item Length:9.3 in
Book Series:Progress in Mathematical Physics Ser.
Item Width:6.1 in
Format:Hardcover

Dirac Matter, Hardcover by Duplantier, Bertrand (EDT); Rivasseau, Vincent (EDT); Fuchs, Jean-nöel (EDT), ISBN 3319325353, ISBN-13 9783319325354, Brand New, Free shipping in the US

This fifteenth volume of the Poincare Seminar Series, Dirac Matter, describes the surprising resurgence, as a low-energy effective theory of conducting electrons in many condensed matter systems, including graphene and topological insulators, of the famous equation originally invented by . Dirac for relativistic quantum

mechanics. In five highly pedagogical articles, as befits their origin in lectures to a broad scientific audience, this book explains why Dirac matters. Highlights include the detailed « Graphene and Relativistic Quantum Physics », written by the experimental pioneer, Philip Kim, and devoted to graphene, a form

of carbon crystallized in a two-dimensional hexagonal lattice, from its discovery in 2 by the future Nobel prize winners Kostya Novoselov and Andre Geim to the so-called relativistic quantum Hall effect; the review entitled « Dirac Fermions in Condensed Matter and Beyond », written by two prominent theoreticians, Mark Goerbig and Gilles Montambaux, who consider many other materials than graphene, collectively known as « Dirac matter », and offer a thorough description of the merging transition of Dirac cones that occurs in the energy spectrum, in various experiments involving stretching of the microscopic hexagonal lattice; the third contribution, entitled « Quantum Transport in Graphene: Impurity Scattering as a Probe of the Dirac

Spectrum », given by Hlne Bouchiat, a leading experimentalist in mesoscopic physics, with Sophie Guron and Chuan Li, shows how measuring electrical transport, in particular magneto-transport in real graphene devices – contaminated by impurities and hence exhibiting a diffusive regime – allows one to deeply probe the Dirac nature of electrons. The last two contributions focus on topological insulators; in the authoritative « Experimental Signatures of Topological Insulators », Laurent Lvy reviews recent experimental progress in the physics of mercury-telluride samples under strain, which demonstrates that the surface of a three-dimensional topological insulator hosts a two-dimensional massless Dirac metal; the illuminating final contribution by David Carpentier, entitled « Topology of Bands in Solids: From Insulators to Dirac Matter », provides a geometric description of Bloch wave functions in terms of Berry phases and parallel transport, and of their topological classification in terms of invariants such as Chern numbers, and ends with a perspective on three-dimensional semi-metals as described by the Weyl equation. This book will be of broad general interest to physicists, mathematicians, and historians of science.

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