Luo Huixia. Advanced Topological Insulators

New York: Wiley-Scrivener, 2019. — 410 p.This book 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. Presenting the latest developments, while providing all the calculations necessary for a self-contained and complete description of the discipline, it is ideal for researchers and graduate students preparing to work in this area, and it will be an essential reference both within and outside the classroom. The book begins with the fundamental description on the topological phases of matter such as one, two- and three-dimensional topological insulators, and methods and tools for topological material's investigations, topological insulators for advanced optoelectronic devices, topological superconductors, saturable absorber and in plasmonic devices. Advanced Topological Insulators provides researchers and graduate students with the physical understanding and mathematical tools needed to embark on research in this rapidly evolving field.Characterization of Phase Transition Points for Topological Gapped SystemsGeneral Definition of Topological Invariant of Phase Transition Points
A 1D example: the Su-Schrieffer-Heeger model
General Characterization of Topological Phase Transition
Phase Transition Points of One-Dimensional Systems
Z -Type Topological Gapped Systems
Class BDI: An Extended Version of the SSH Model
Class AIII: The Creutz Model
Z Topological Gapped Systems
Class D: An Extended Version of the Kiteav Model
Class DIII: An Example Model
A Non-Topological Example of 1D Insulating Systems
Phase Transition Points of Two-Dimensional Systems
The Haldane Model
An Extended Version of the Qi-Wu-Zhang Model
An Example of 3D Topological InsulatorsTopological Insulator Materials for Advanced Optoelectronic Devices
Excellent Electronic Properties
Quantum Spin Hall Effect
Topological Magnetoelectric Effects
Magnetic Monopole Image
Topological Superconductors
Quantum Anomalous Hall Effects
Giant Magnetoresistance Effects
Shubnikov-De Haas Effects
Excellent Optical Properties
Ultrahigh Bulk Refractive Index
Near-Infrared Transparency
Faraday Rotation and Unusual Electromagnetic Scattering
Ultra-Broadband Plasmon Excitations
Polarized Light Induced Photocurrent
Broadband Optical Nonlinear Response
Advanced Optoelectronic Devices
Plasmonic Solar Cells
Nanometric Holograms
Ultrathin Flat Lens
Near-Infrared Photodetector
Saturable Absorber
Conclusion and OutlookTopological Insulator Thin Films and Artificial Topological Superconductors
Theoretical Background
Berry Phase and Topology in Condensed Matter Physics
Topological Insulator
Topological Superconductor and Majorana Fermionic Mode
Introduction of the Experimental Methods
Molecular Beam Epitaxy
Scanning Tunneling Microscopy
Topological Insulator Thin Films
Artificial Two-Dimensional Topological Superconductor
Discovery of Majorana Zero Mode
Identification of a Majorana Zero Mode Base on Its Lateral Extension
Identification of a Majorana Zero Mode Based on Its SpinAcknowledgementsTopological Matter in the Absence of Translational InvarianceTopological Insulator and Real-Space Topology
Cylindrical Topological Insulator
Spherical Topological Insulator
Protection of the Surface States: Berry Phase Point of View
Layer Construction: Dimensional Crossovers of Topological Properties
Time-Reversal Invariant (Z2) Type Lattice Model: STI/WTI