LEADER 04812nam 2200697 450 001 9910461024103321 005 20210503215933.0 010 $a1-4008-4673-0 024 7 $a10.1515/9781400846733 035 $a(CKB)3710000000561735 035 $a(EBL)4323368 035 $a(SSID)ssj0001594293 035 $a(PQKBManifestationID)16288823 035 $a(PQKBTitleCode)TC0001594293 035 $a(PQKBWorkID)12666553 035 $a(PQKB)10437793 035 $a(MiAaPQ)EBC4323368 035 $a(DE-B1597)474150 035 $a(OCoLC)979970304 035 $a(DE-B1597)9781400846733 035 $a(Au-PeEL)EBL4323368 035 $a(CaPaEBR)ebr11253177 035 $a(CaONFJC)MIL887321 035 $a(OCoLC)934514528 035 $a(EXLCZ)993710000000561735 100 $a20160916h20132013 uy 0 101 0 $aeng 135 $aurnnu---|u||u 181 $ctxt 182 $cc 183 $acr 200 10$aTopological insulators and topological superconductors /$fB. Andrei Bernevig with Taylor L. Hughes 205 $aCourse Book 210 1$aPrinceton, New Jersey ;$aOxford, [England] :$cPrinceton University Press,$d2013. 210 4$dİ2013 215 $a1 online resource (260 p.) 300 $aDescription based upon print version of record. 311 $a0-691-15175-X 320 $aIncludes bibliographical references and index. 327 $tFront matter --$tContents --$t1. Introduction --$t2. Berry Phase --$t3. Hall Conductance and Chern Numbers --$t4. Time-Reversal Symmetry --$t5. Magnetic Field on the Square Lattice --$t6. Hall Conductance and Edge Modes: The Bulk-Edge Correspondence --$t7. Graphene --$t8. Simple Models for the Chern Insulator --$t9. Time-Reversal-Invariant Topological Insulators --$t10. Z2 Invariants --$t11. Crossings in Different Dimensions --$t12. Time-Reversal Topological Insulators with Inversion Symmetry --$t13. Quantum Hall Effect and Chern Insulators in Higher Dimensions --$t14. Dimensional Reduction of 4-D Chern Insulators to 3-D Time-Reversal Insulators --$t15. Experimental Consequences of the Z2 Topological Invariant --$t16. Topological Superconductors in One and Two Dimensions /$rHughes, Taylor L. --$t17. Time-Reversal-Invariant Topological Superconductors /$rHughes, Taylor L. --$t18. Superconductivity and Magnetism in Proximity to Topological Insulator Surfaces /$rHughes, Taylor L. --$tAPPENDIX --$t3-D Topological Insulator in a Magnetic Field --$tReferences --$tIndex 330 $aThis graduate-level textbook is the first pedagogical synthesis of the field of topological insulators and superconductors, one of the most exciting areas of research in condensed matter physics. Presenting the latest developments, while providing all the calculations necessary for a self-contained and complete description of the discipline, it is ideal for graduate students and researchers preparing to work in this area, and it will be an essential reference both within and outside the classroom. The book begins with simple concepts such as Berry phases, Dirac fermions, Hall conductance and its link to topology, and the Hofstadter problem of lattice electrons in a magnetic field. It moves on to explain topological phases of matter such as Chern insulators, two- and three-dimensional topological insulators, and Majorana p-wave wires. Additionally, the book covers zero modes on vortices in topological superconductors, time-reversal topological superconductors, and topological responses/field theory and topological indices. The book also analyzes recent topics in condensed matter theory and concludes by surveying active subfields of research such as insulators with point-group symmetries and the stability of topological semimetals. Problems at the end of each chapter offer opportunities to test knowledge and engage with frontier research issues. Topological Insulators and Topological Superconductors will provide graduate students and researchers with the physical understanding and mathematical tools needed to embark on research in this rapidly evolving field. 606 $aEnergy-band theory of solids 606 $aSuperconductivity 606 $aSolid state physics$xMathematics 606 $aSuperconductors$xMathematics 608 $aElectronic books. 615 0$aEnergy-band theory of solids. 615 0$aSuperconductivity. 615 0$aSolid state physics$xMathematics. 615 0$aSuperconductors$xMathematics. 676 $a530.41 686 $aUP 2200$2rvk 700 $aBernevig$b B. Andrei$f1978-$01050759 702 $aHughes$b Taylor L.$f1981- 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910461024103321 996 $aTopological insulators and topological superconductors$92480842 997 $aUNINA