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Titlebook: Topological Insulators; Dirac Equation in Co Shun-Qing Shen Book 2017Latest edition Springer Nature Singapore Pte Ltd. 2017 Su-Schrieffer-H

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书目名称Topological Insulators
副标题Dirac Equation in Co
编辑Shun-Qing Shen
视频video
概述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 d
丛书名称Springer Series in Solid-State Sciences
图书封面Titlebook: Topological Insulators; Dirac Equation in Co Shun-Qing Shen Book 2017Latest edition Springer Nature Singapore Pte Ltd. 2017 Su-Schrieffer-H
描述. .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. . .
出版日期Book 2017Latest edition
关键词Su-Schrieffer-Heeger Model; Topological Quantum Material; Topological Superconductor; Topological Weyl
版次2
doihttps://doi.org/10.1007/978-981-10-4606-3
isbn_softcover978-981-13-5179-2
isbn_ebook978-981-10-4606-3Series ISSN 0171-1873 Series E-ISSN 2197-4179
issn_series 0171-1873
copyrightSpringer Nature Singapore Pte Ltd. 2017
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Minimal Lattice Model for Topological Insulators,A lattice model can be mapped into a continuous model near the critical point of a topological quantum phase transition. The topology of a lattice model remains unchanged if no energy gap in the band structure closes and reopens.
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Three-Dimensional Topological Insulators,Three-dimensional topological insulators are characterized by surrounding surface states in which electrons are well described as two-dimensional Dirac fermions. A series of materials have been identified as topological insulators after being theoretically predicted.
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Majorana Fermions in Topological Insulators,A Majorana fermion is a particle that is its own antiparticle. This type of particle can appear as an end state in a one-dimensional topological superconductor or as a bound state induced by a half quantized vortex in a two-dimensional topological superconductor.
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Topological Anderson Insulator,A topological Anderson insulator is a distinct type of topological insulator, which is induced by disorders. Unlike conventional topological insulators, its Fermi energy lies within a so-called mobility gap instead of in a real band gap. The robustness of the edge or surface states is protected by the mobility gap.
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Summary: Symmetries and Topological Classification,For non-interacting electron systems, symmetry classification has already exhausted all possible topological insulators and superconductors: each dimension has five possible topological phases.
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