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Topological Insulators and Topological Superconductors


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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

About the Author

B. Andrei Bernevig is the Eugene and Mary Wigner Assistant Professor of Theoretical Physics at Princeton University. Taylor L. Hughes is an assistant professor in the condensed matter theory group at the University of Illinois, Urbana-Champaign.


"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

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