This book is the result of dynamic developments that have occurred in condensed matter physics after the recent discovery of a new class of electronic materials: topological insulators. A topological insulator is a material that behaves as a band insulator in its interior, while acting as a metallic conductor at its surface. The surface current carriers in these systems have Dirac-like nature and are protected by an intrinsic topological order, which is of great interest for both fundamental research and emerging technologies, especially in the fields of electronics, spintronics, and quantum information.
The realization of the application potential of topological insulators requires a comprehensive and deep understanding of transport processes in these novel materials. This book explores the origin of the protected Dirac-like states in topological insulators and gives an insight into some of their representative transport properties. These include the quantum spin–Hall effect, nonlocal edge transport, backscattering of helical edge and surface states, weak antilocalization, unconventional triplet p-wave superconductivity, topological bound states, and emergent Majorana fermions in Josephson junctions as well as superconducting Klein tunneling.
Table of Contents
Introducing topological insulators: mind the time reversal. Two-dimensional topological insulators. Two-dimensional topological insulators in quantizing magnetic fields. Three-dimensional topological insulators. Unconventional superconductivity and Majorana fermions in topological insulators.
Grigory Tkachov received his PhD from the I. M. Lifshitz Theoretical Physics Department of V. N. Karazin Kharkiv National University, Ukraine, in 1999. His postdoctoral studies began at Lancaster University under the aegis of the Royal Society of the UK and continued at Regensburg University and the Max Planck Institute for the Physics of Complex Systems in Dresden, Germany. Currently, Dr. Tkachov is a senior research fellow in the Chair of Mesoscopic Physics at the University of Wuerzburg, Germany. His main research area is theoretical condensed matter physics with focus on topological phases of matter, macroscopic quantum phenomena, and novel nanomaterials. Dr. Tkachov is an author of over 50 scholarly publications.
"This book is an in-depth presentation of fundamental theoretical concepts on electronic and transport properties of topological insulators. It offers a meaningful analytical description of key model Hamiltonians, which allows a detailed illustration and understanding of foundational knowledge such as spin-momentum locking, topological invariants, symmetry aspects related to spin-orbit coupling, and antilocalization phenomena. It also covers the fascinating mechanisms underlying the exploration of unconventional superconductivity and Majorana Fermions in topological insulators. It will certainly become a standard reference for beginners and experienced researchers."
— Prof. Stephan Roche, Catalan Institute of Nanoscience and Nanotechnology, Spain
"This book is a great teacher for graduates who wish to devote themselves to the field. The well-designed problem sets provide a unique opportunity to digest many key results, while the exhaustive bibliography serves as a guide to various ongoing studies in the field."
— Prof. Chushun Tian, Tsinghua University, China