Bernevig / Hughes Topological Insulators and Topological Superconductors

Course Book
ISBN: 978-1-4008-4673-3
Verlag: De Gruyter
Format: PDF
Kopierschutz: 1 - PDF Watermark

E-Book, Englisch, 264 Seiten

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.

Autoren/Hrsg.

Bernevig, B. Andrei

Hughes, Taylor L.

Weitere Mitwirkende

Hughes, Taylor L.

Fachgebiete

• Naturwissenschaften Physik Elektromagnetismus Magnetismus
• Naturwissenschaften Physik Thermodynamik Festkörperphysik, Kondensierte Materie
• Naturwissenschaften Physik Elektromagnetismus Elektrizität, Elektrodynamik

Inhaltsverzeichnis

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

Über Autor(innen)

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.