Topological Insulators and Topological Superconductors | Princeton University PressTopological insulators are new states of quantum matter which cannot be adiabatically connected to conventional insulators and semiconductors. They are characterized by a full insulating gap in the bulk and gapless edge or surface states which are protected by time-reversal symmetry. These topological materials have been theoretically predicted and experimentally observed in a variety of systems, including HgTe quantum wells, BiSb alloys, and Bi 2 Te 3 and Bi 2 Se 3 crystals. Theoretical models, materials properties, and experimental results on two-dimensional and three-dimensional topological insulators are reviewed, and both the topological band theory and the topological field theory are discussed. Topological superconductors have a full pairing gap in the bulk and gapless surface states consisting of Majorana fermions.
Topological insulators I -- C. Kane
Reflection-Symmetric Second-Order Topological Insulators and Superconductors.
See author identifier help for more information about arXiv author identifiers, please report any problems. We gratefully acknowledge support from the Simons Foundation and member institutions. Taylor Hughes's articles on arXiv  arXiv Authors: William A. Wheeler , Lucas K. Wagner , Taylor L. Comments: 12 pages 6 figures , v2 contains updates for clarity and a new discussion linking this work to other recent related work.
Skip to search form Skip to main content. Without further spatial symmetries, five of the ten Altland-Zirnbauer symmetry classes allow for the existence of such second-order topological insulators in two and three dimensions. View PDF. Save to Library. Create Alert. Share This Paper.
We study surface states of topological crystalline insulators and superconductors protected by inversion symmetry. We provide a complete classification of inversion-protected higher-order topological insulators and superconductors in any spatial dimension for the 10 symmetry classes by means of a layer construction. We discuss possible physical realizations of such states starting with a time-reversal-invariant topological insulator class AII in three dimensions or a time-reversal-invariant topological superconductor class DIII in two or three dimensions. The former exhibits one-dimensional chiral or helical modes propagating along opposite edges, whereas the latter hosts Majorana zero modes localized to two opposite corners. Being protected by inversion, such states are not pinned to a specific pair of edges or corners, thus offering the possibility of controlling their location by applying inversion-symmetric perturbations such as magnetic field. The upper panel illustrates how two chiral modes can be removed without breaking inversion symmetry. The lower panel illustrates how a pair of 0D topological defects each defects consists of two zero modes at two inversion related points with opposite chirality can be removed by moving states of opposite chirality towards each other and annihilating them.
Andrei Bernevig. Many of our ebooks are available through library electronic resources including these platforms:. This graduate-level textbook is the first pedagogical synthesis of the field of topological insulators and superconductors, one of the most exciting areas of research in condensed matter physics.
User Account Log in Register Help. Search Close Advanced Search Help. My Content 1 Recently viewed 1 Topological Insulators Show Summary Details Bernevig, B. Andrei Topological Insulators and Topological Superconductors. In coop. Add to Cart.