Topological Matter

1. Front Matter

   Pages i-xvi

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2. Band Theory Without Any Hamiltonians or “The Way Band Theory Should Be Taught”

   • I. Robredo, B. A. Bernevig, Juan L. Mañes

   Pages 1-30

3. Topological Crystalline Insulators

   • Titus Neupert, Frank Schindler

   Pages 31-61

4. Calculating Topological Invariants with Z2Pack

   • Dominik Gresch, Alexey Soluyanov

   Pages 63-92

5. Transport in Topological Insulator Nanowires

   • Jens H. Bardarson, Roni Ilan

   Pages 93-114

6. Microwave Studies of the Fractional Josephson Effect in HgTe-Based Josephson Junctions

   • E. Bocquillon, J. Wiedenmann, R. S. Deacon, T. M. Klapwijk, H. Buhmann, L. W. Molenkamp

   Pages 115-148

7. Common and Not-So-Common High-Energy Theory Methods for Condensed Matter Physics

   • Adolfo G. Grushin

   Pages 149-175

8. Anomalies and Kinetic Theory

   • Alberto Cortijo

   Pages 177-198

9. Topological Materials in Heusler Compounds

   • Yan Sun, Claudia Felser

   Pages 199-210

10. Topological Materials and Solid-State Chemistry—Finding and Characterizing New Topological Materials

    • L. M. Schoop, A. Topp

    Pages 211-243

11. Momentum and Real-Space Study of Topological Semimetals and Topological Defects

    • Haim Beidenkopf

    Pages 245-256

12. Back Matter

    Pages 257-261

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This book covers basic and advanced aspects in the field of Topological Matter. The chapters are based on the lectures presented during the Topological Matter School 2017. It provides graduate level content introducing the basic concepts of the field, including an introductory session on group theory and topological classification of matter. Different topological phases such as Weyls semi-metals, Majoranas fermions and topological superconductivity are also covered. A review chapter on the major experimental achievements in the field is also provided. The book is suitable not only for master, graduate and young postdoctoral researchers, but also to senior scientists who want to acquaint themselves with the subject. 

• topological insulators
• Topological superconductors
• topological quantum states
• Majorana systems
• non-Abelian statistics
• quantum computing
• superconducting heterostructures
• semiconducting wires
• ferromagnetic chains
• quantum spin Hall materials

   

• Theoretical Mesoscopic Physics, Donostia International Physics Center, Donostia/San Sebastián, Gipuzkoa, Spain

  Dario Bercioux

• Laboratoire Ondes et Matière d’aquitaine, Talence, France

  Jérôme Cayssol

• Donostia International Physics Center, Donostia/San Sebastián, Gipuzkoa, Spain

  Maia G. Vergniory

• CIC nanoGUNE, Donostia/San Sebastián, Gipuzkoa, Spain

  M. Reyes Calvo

Dario Bercioux is a Research Associate at Donostia International Physics Center, Spain. His research interests include spin dependent quantum transport in topological insulators/superconductors and topological phases mater in unconventional lattices.

Jérôme Cayssol is an Associate Professor at LOMA Bordeaux University, France. His research interests include graphene, topological insulators and superconducting proximity effect.

Maia G. Vergniory is an Assistant Professor at University of the Basque Country, Spain. She is involved on research including first principle calculations of electronic and magentic properties of bulk and surfaces of topological materials. Space and magnetic group theory are also among her interests.

Reyes Calvo is an Ikerbasque Research Associate at CIC Nanogune, Spain.  Besides experimental characterization of Topological Insulators by quantum transport and local probes, she is interested on magnetism at the nanoscale.

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