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Topological insulators : Dirac equation in condensed matters / Shun-Qing Shen.

By: Material type: TextTextSeries: Springer series in solid-state sciences ; 174Publication details: Berlin : Springer-Verlag, c2012.Description: xiii, 225 p. : ill. (some col.) ; 24 cmISBN:
  • 9783642328572 (alk. paper)
Subject(s): DDC classification:
  • 621.31937 23 Sh546
Contents:
1. Introduction -- 2. Starting from the Dirac Equation -- 3. Minimal Lattice Model for Topological Insulator -- 4. Topological Invariants -- 5. Topological Phases in One Dimension -- 6. Quantum Spin Hall Effect -- 7. Three-Dimensional Topological Insulators -- 8. Impurities and Defects in Topological Insulators -- 9. Topological Superconductors and Superfluids -- 10. Majorana Fermions in Topological Insulators -- 11. Topological Anderson Insulator -- 12. Summary: Symmetry and Topological Classification-- References-- A Derivation of two formulae-- B Time reversal symmetry-- Index.
Summary: 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 soluti.
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Holdings
Item type Current library Call number Status Date due Barcode Item holds
Books ISI Library, Kolkata 621.31937 Sh546 (Browse shelf(Opens below)) Available 135685
Total holds: 0

Includes bibliographical references and index.

1. Introduction --
2. Starting from the Dirac Equation --
3. Minimal Lattice Model for Topological Insulator --
4. Topological Invariants --
5. Topological Phases in One Dimension --
6. Quantum Spin Hall Effect --
7. Three-Dimensional Topological Insulators --
8. Impurities and Defects in Topological Insulators --
9. Topological Superconductors and Superfluids --
10. Majorana Fermions in Topological Insulators --
11. Topological Anderson Insulator --
12. Summary: Symmetry and Topological Classification--
References--
A Derivation of two formulae--
B Time reversal symmetry--
Index.

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 soluti.

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