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.
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