Topological Insulators (eBook)

Dirac Equation in Condensed Matters

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2013 | 2013
XIII, 225 Seiten
Springer Berlin (Verlag)
978-3-642-32858-9 (ISBN)

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Topological Insulators - 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.



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.

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.

Introduction.- Starting from the Dirac equation.- Minimal lattice model for topological insulator.- Topological invariants.- Topological phases in one dimension.- Quantum spin Hall effect.- Three dimensional topological insulators.- Impurities and defects in topological insulators.- Topological superconductors and superfluids.- Majorana fermions in topological insulators.- Topological Anderson Insulator.- Summary: Symmetry and Topological Classification.

Erscheint lt. Verlag 11.1.2013
Reihe/Serie Springer Series in Solid-State Sciences
Springer Series in Solid-State Sciences
Zusatzinfo XIII, 225 p.
Verlagsort Berlin
Sprache englisch
Themenwelt Naturwissenschaften Physik / Astronomie Atom- / Kern- / Molekularphysik
Technik Elektrotechnik / Energietechnik
Technik Maschinenbau
Schlagworte Marjorana Fermions • Modified Dirac Equation • Quantum Spin Hall Effect • The Dirac Equation • The Hall Effect • The Surface States • Topological Field Theory • Topological Insulator • Topological Superconductivity
ISBN-10 3-642-32858-X / 364232858X
ISBN-13 978-3-642-32858-9 / 9783642328589
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