Topological Matter: Lectures from the Topological Matter School 2017

Description

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. Front Matter ....Pages i-xvi Band Theory Without Any Hamiltonians or “The Way Band Theory Should Be Taught” (I. Robredo, B. A. Bernevig, Juan L. Mañes)....Pages 1-30 Topological Crystalline Insulators (Titus Neupert, Frank Schindler)....Pages 31-61 Calculating Topological Invariants with Z2Pack (Dominik Gresch, Alexey Soluyanov)....Pages 63-92 Transport in Topological Insulator Nanowires (Jens H. Bardarson, Roni Ilan)....Pages 93-114 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 Common and Not-So-Common High-Energy Theory Methods for Condensed Matter Physics (Adolfo G. Grushin)....Pages 149-175 Anomalies and Kinetic Theory (Alberto Cortijo)....Pages 177-198 Topological Materials in Heusler Compounds (Yan Sun, Claudia Felser)....Pages 199-210 Topological Materials and Solid-State Chemistry—Finding and Characterizing New Topological Materials (L. M. Schoop, A. Topp)....Pages 211-243 Momentum and Real-Space Study of Topological Semimetals and Topological Defects (Haim Beidenkopf)....Pages 245-256 Back Matter ....Pages 257-261