Springer Series in Solid-State Sciences

Topological Insulators

Dirac Equation in Condensed Matters

Authors: Shen, Shun-Qing

  • Describes the hot newly discovered materials
  • Presents a unified description of topological insulators from one to three dimensions based on the modified Dirac equation
  • A starting point to enter the new research field-topological insulators 
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About this book

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.

About the authors

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.

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)


Table of contents (12 chapters)

Buy this book

eBook $119.00
price for USA (gross)
  • ISBN 978-3-642-32858-9
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $159.00
price for USA
  • ISBN 978-3-642-32857-2
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $159.00
price for USA
  • ISBN 978-3-642-43951-3
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
Topological Insulators
Book Subtitle
Dirac Equation in Condensed Matters
Authors
Series Title
Springer Series in Solid-State Sciences
Series Volume
174
Copyright
2012
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-642-32858-9
DOI
10.1007/978-3-642-32858-9
Hardcover ISBN
978-3-642-32857-2
Softcover ISBN
978-3-642-43951-3
Series ISSN
0171-1873
Edition Number
1
Number of Pages
XIII, 225
Topics