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Topological Insulators: Dirac Equation in Condensed Matters: 174 (Springer Series in Solid-State Sciences), by Shun-Qing Shen
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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.
- Sales Rank: #2161130 in eBooks
- Published on: 2013-01-11
- Released on: 2013-01-11
- Format: Kindle eBook
Review
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)
From the Back Cover
Topological insulators are insulating in the bulk, but process metallic states 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, 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.
About the Author
Professor Shun-Qing Shen, an expert in the field of condensed matter physics, is distinguished for his research works on spintronics of semiconductors, quantum magnetism and orbital physics in transition metal oxides, and novel quantum states of condensed matters. He proposed the theory of topological Anderson insulator, spin transverse force, resonant spin Hall effect and the theory of phase separation in colossal magnetoresistive (CMR) materials. He proved the existence of antiferromagnetic long-range order and off-diagonal long-range order in itinerant electron systems.
Professor Shun-Qing Shen has been a professor of physics at The University of Hong Kong since July 2007. Professor Shen received his BS, MS, and PhD in theoretical physics from Fudan University in Shanghai. He was a postdoctorial fellow (1992 – 1995) in China Center of Advanced Science and Technology (CCAST), Beijing, Alexander von Humboldt fellow (1995 – 1997) in Max Planck Institute for Physics of Complex Systems, Dresden, Germany, and JSPS research fellow (1997) in Tokyo Institute of Technology, Japan. In December 1997 he joined Department of Physics, The University of Hong Kong. He was awarded Croucher Senior Research Fellowship (Croucher Prize) in 2010.
Most helpful customer reviews
1 of 1 people found the following review helpful.
The book is good from a mathematical standpoint
By Robert Wells
The book is good from a mathematical standpoint. However, the terminology used is far from clear and some equations come out from nowhere. There are few mistakes in the equations and the physical explanations behind topological insulators are forgotten throughout a vast quantity of equations - however, this may be a reflex of some difficulty of the author to express himself in English. The lack of examples is another major shortcoming from a pedagogical point of view.
3 of 5 people found the following review helpful.
simple and clear books
By Lan
I really love this book. The derivation in this work is not difficult to understand. As an experimentalist, I can derive every formula in the book. I have a much deeper understanding on TI now. Strongly recommend to scientists who are not familiar with QFT.
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