Description
Book SynopsisThis 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
Trade Review"The book ... may be extremely useful to both graduate students and more senior researchers."--Vicentiu D. Radulescu, Zentralblatt MATH "Dr. Bernevig writes well and with insight... with a beginning graduate student in mind who wants to enter quickly the research in this field."--S.W. Lovesey, Contemporary Physics
Table of Contents*Frontmatter, pg. i*Contents, pg. v*1. Introduction, pg. 1*2. Berry Phase, pg. 6*3. Hall Conductance and Chern Numbers, pg. 15*4. Time-Reversal Symmetry, pg. 33*5. Magnetic Field on the Square Lattice, pg. 41*6. Hall Conductance and Edge Modes: The Bulk-Edge Correspondence, pg. 60*7. Graphene, pg. 70*8. Simple Models for the Chern Insulator, pg. 91*9. Time-Reversal-Invariant Topological Insulators, pg. 109*10. Z2 Invariants, pg. 123*11. Crossings in Different Dimensions, pg. 147*12. Time-Reversal Topological Insulators with Inversion Symmetry, pg. 158*13. Quantum Hall Effect and Chern Insulators in Higher Dimensions, pg. 164*14. Dimensional Reduction of 4-D Chern Insulators to 3-D Time-Reversal Insulators, pg. 177*15. Experimental Consequences of the Z2 Topological Invariant, pg. 186*16. Topological Superconductors in One and Two Dimensions, pg. 193*17. Time-Reversal-Invariant Topological Superconductors, pg. 214*18. Superconductivity and Magnetism in Proximity to Topological Insulator Surfaces, pg. 226*APPENDIX. 3-D Topological Insulator in a Magnetic Field, pg. 237*References, pg. 241*Index, pg. 245
