This book came into being under the influence of dynamic developments that have occurred in condensed matter physics after the recent discovery of a new class of electronic materials called 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. The book explores the origin of the protected Dirac-like states in topological insulators and gives 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.
Gregory Tkachov is a research associate with the Mesoscopic Physics Group at Wuerzberg University, Germany. He has also been a research associate at Max Planck Institute PKS, Dresden, Germany, and Regensburg University, Germany. His research interests focus on quantum field-theoretical methods, topological insulators, graphene, superconductors, disordered and mesoscopic systems, spin-related phenomena, and nonlinear dynamics.
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