Topological insulators : Dirac equation in condensed matter

✍ Scribed by Shen, Shun-Qing

Publisher: Springer
Year: 2017
Tongue: English
Leaves: 272
Series: Springer series in solid-state sciences 187
Edition: Second edition
Category: Library

No coin nor oath required. For personal study only.

✦ Synopsis

The first of its kind on the topic, this book presents a unified description of topological insulators in one, two and three dimensions based on the modified Dirac equation. Discusses topological invariants and their applications to a variety of systems.

Abstract:

✦ Table of Contents

Front Matter ....Pages i-xiii
Introduction (Shun-Qing Shen)....Pages 1-16
Starting from the Dirac Equation (Shun-Qing Shen)....Pages 17-32
Minimal Lattice Model for Topological Insulators (Shun-Qing Shen)....Pages 33-50
Topological Invariants (Shun-Qing Shen)....Pages 51-79
Topological Phases in One Dimension (Shun-Qing Shen)....Pages 81-90
Quantum Anomalous Hall Effect and Quantum Spin Hall Effect (Shun-Qing Shen)....Pages 91-123
Three-Dimensional Topological Insulators (Shun-Qing Shen)....Pages 125-152
Impurities and Defects in Topological Insulators (Shun-Qing Shen)....Pages 153-171
Topological Superconductors and Superfluids (Shun-Qing Shen)....Pages 173-187
Majorana Fermions in Topological Insulators (Shun-Qing Shen)....Pages 189-206
Topological Dirac and Weyl Semimetals (Shun-Qing Shen)....Pages 207-229
Topological Anderson Insulator (Shun-Qing Shen)....Pages 231-241
Summary: Symmetries and Topological Classification (Shun-Qing Shen)....Pages 243-250
Back Matter ....Pages 251-266

✦ Subjects

Electric insulators and insulation;Dirac equation;Condensed matter;TECHNOLOGY & ENGINEERING / Mechanical;Physics;Semiconductors;Solid State Physics;Optical and Electronic Materials

📜 SIMILAR VOLUMES

Topological Insulators: Dirac Equation i

📁 Topological Insulators: Dirac Equation in Condensed Matters

✍ Shun-Qing Shen 📂 Library 📅 2013 🏛 Springer 🌐 English

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.

Topological Insulators: Dirac Equation i

📁 Topological Insulators: Dirac Equation in Condensed Matters

✍ Shun-Qing Shen (auth.) 📂 Library 📅 2012 🏛 Springer-Verlag Berlin Heidelberg 🌐 English

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 geom

Topological Insulators: Dirac Equation i

📁 Topological Insulators: Dirac Equation in Condensed Matters

✍ Shun-Qing Shen (auth.) 📂 Library 📅 2012 🏛 Springer-Verlag Berlin Heidelberg 🌐 English

Topological Insulators: Dirac Equation i

📁 Topological Insulators: Dirac Equation in Condensed Matters

✍ Shen, S.Q. 📂 Library 📅 2013 🏛 Springer Berlin Heidelberg 🌐 English

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 geometr

Topology in Condensed Matter

📁 Topology in Condensed Matter

✍ M. Monastyrsky (auth.), Professor Dr. Michail Ilych Monastyrsky (eds.) 📂 Library 📅 2006 🏛 Springer-Verlag Berlin Heidelberg 🌐 English

This book reports new results in condensed matter physics for which topological methods and ideas are important. It considers, on the one hand, recently discovered systems such as carbon nanocrystals and, on the other hand, new topological methods used to describe more traditional systems such

Reshaping of Dirac Cones in Topological

📁 Reshaping of Dirac Cones in Topological Insulators and Graphene

✍ Álvaro Díaz Fernández 📂 Library 📅 2021 🏛 Springer International Publishing;Springer 🌐 English

Dirac cones are ubiquitous to non-trivial quantum matter and are expected to boost and reshape the field of modern electronics. Particularly relevant examples where these cones arise are topological insulators and graphene. From a fundamental perspective, this thesis proposes schemes towards m