Topological Insulators
Dirac Equation in Condensed Matter
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Beschreibung
This new edition presents a unified description of these insulators from one to three dimensions based on the modified Dirac equation. It derives a series of solutions of the bound states near the boundary, and describes the current status of these solutions. Readers are introduced to topological invariants and their applications to a variety of systems from one-dimensional polyacetylene, to two-dimensional quantum spin Hall effect and p-wave superconductors, three-dimensional topological insulators and superconductors or superfluids, and topological Weyl semimetals, helping them to better understand this fascinating field.
To reflect research advances in topological insulators, several parts of the book have been updated for the second edition, including: Spin-Triplet Superconductors, Superconductivity in Doped Topological Insulators, Detection of Majorana Fermions and so on. In particular, the book features a new chapter on Weyl semimetals, a topic thathas attracted considerable attention and has already become a new hotpot of research in the community.
This new edition presents a unified description of these insulators from one to three dimensions based on the modified Dirac equation. It derives a series of solutions of the bound states near the boundary, and describes the current status of these solutions. Readers are introduced to topological invariants and their applications to a variety of systems from one-dimensional polyacetylene, to two-dimensional quantum spin Hall effect and p-wave superconductors, three-dimensional topological insulators and superconductors or superfluids, and topological Weyl semimetals, helping them to better understand this fascinating field.
To reflect research advances in topological insulators, several parts of the book have been updated for the second edition, including: Spin-Triplet Superconductors, Superconductivity in Doped Topological Insulators, Detection of Majorana Fermions and so on. In particular, the book features a new chapter on Weyl semimetals, a topic that has attracted considerable attention and has already become a new hotpot of research in the community.
Gives an up-to-date overview of the studies in the hot field of topological insulators Presents a unified description of topological insulators, superconductors and Weyl semimetals from one to three dimensions based on the modified Dirac equation Serves as a starting point for newcomers or students to enter the field of topological insulators Includes supplementary material: sn.pub/extras Includes supplementary material: sn.pub/extras
Autor*in
Shun-Qing Shen
Themen in »Topological Insulators«
Su-Schrieffer-Heeger Model Topological Quantum Material Topological Superconductor Topological Weyl Semimetal Majorana Fermions in Topological Insulators Quantum Spin Hall Effect Weyl semimetals
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“The book presents a comprehensive study of topological insulators and is an interesting attempt to generalize all-possible approaches and methods, developed in this area of condensed matter physics. It can be very useful to graduate students and specialists, studying modern physical problems.” (Ivan A. Parinov, zbMATH 1388.82001, 2018)
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