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020 _a9783319325361
_9978-3-319-32536-1
024 7 _a10.1007/978-3-319-32536-1
_2doi
040 _aISI Library, Kolkata
050 4 _aQA401-425
050 4 _aQC19.2-20.85
072 7 _aPHU
_2bicssc
072 7 _aSCI040000
_2bisacsh
072 7 _aPHU
_2thema
082 0 4 _a530.15
_223
245 1 0 _aDirac Matter
_h[electronic resource] /
_cedited by Bertrand Duplantier, Vincent Rivasseau, Jean-Nöel Fuchs.
264 1 _aCham :
_bSpringer International Publishing :
_bImprint: Birkhäuser,
_c2017.
300 _aXII, 129 p. 45 illus., 44 illus. in color.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aProgress in Mathematical Physics,
_x1544-9998 ;
_v71
505 0 _aPhilip Kim: Graphene and Relativistic Quantum Physics -- Mark Goerbig and Gilles Montambaux : Dirac Fermions in Condensed Matter and Beyond -- Chuan Li, Sophie Guéron, Hélène Bouchiat : Quantum Transport in Graphene : Impurity Scattering as a Probe of the Dirac Spectrum.-Laurent Lévy : Experimental Signatures of Topological Insulators -- David Carpentier :Topology of Bands in Solids: From Insulators to Dirac Matter.
520 _aThis 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 P.A.M. 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 2004-2005 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 Hélène Bouchiat, a leading experimentalist in mesoscopic physics, with Sophie Guéron 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 Lévy 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.
650 1 4 _aMathematical Physics.
_0http://scigraph.springernature.com/things/product-market-codes/M35000
650 2 4 _aCondensed Matter Physics.
_0http://scigraph.springernature.com/things/product-market-codes/P25005
700 1 _aDuplantier, Bertrand.
_eeditor.
_4edt
_4http://id.loc.gov/vocabulary/relators/edt
700 1 _aRivasseau, Vincent.
_eeditor.
_4edt
_4http://id.loc.gov/vocabulary/relators/edt
700 1 _aFuchs, Jean-Nöel.
_eeditor.
_4edt
_4http://id.loc.gov/vocabulary/relators/edt
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783319325354
776 0 8 _iPrinted edition:
_z9783319325378
776 0 8 _iPrinted edition:
_z9783319813110
830 0 _aProgress in Mathematical Physics,
_x1544-9998 ;
_v71
856 4 0 _uhttps://doi.org/10.1007/978-3-319-32536-1
912 _aZDB-2-SMA
942 _cEB
950 _aMathematics and Statistics (Springer-11649)
999 _c427033
_d427033