Topological Insulators

Dirac Equation in Condensed Matters

By: Shun-Qing Shen

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Hardcover | 11 January 2013

At a Glance

Hardcover
240 Pages

Dimensions(cm)
23.39 x 15.6 x 1.42

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Published: 5th September 2017

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Topological insulators are insulating in the bulk, but process metallic states present around its boundary owing to the topological origin of the band structure. The metallic edge or surface states are immune to weak disorder or impurities, and robust against the deformation of the system geometry. This book, the first of its kind on topological insulators, presents a unified description of topological insulators from one to three dimensions based on the modified Dirac equation. A series of solutions of the bound states near the boundary are derived, and the existing conditions of these solutions are described. Topological invariants and their applications to a variety of systems from one-dimensional polyacetalene, to two-dimensional quantum spin Hall effect and p-wave superconductors, and three-dimensional topological insulators and superconductors or superfluids are introduced, helping readers to better understand this fascinating new field.

This book is intended for researchers and graduate students working in the field of topological insulators and related areas.

Shun-Qing Shen is a Professor at the Department of Physics, the University of Hong Kong, China.

Industry Reviews

From the reviews:

"The book is devoted to the study of a large family of topological insulators and superconductors based on the solutions of the Dirac equation ... . this book combines clear physical approaches and strict mathematics. It is very interesting from a methodical viewpoint for teaching the modern physics of condensed matters." (I. A. Parinov, zbMATH, Vol. 1273, 2013)

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