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A short course on topological insulators[electronic resource] :band structure and edge states in one and two dimensions /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
杜威分類號:	515.39
書名/作者:	A short course on topological insulators : band structure and edge states in one and two dimensions // by Janos K. Asboth, Laszlo Oroszlany, Andras Palyi.
作者:	Asboth, Janos K.
其他作者:	Oroszlany, Laszlo.
出版者:	Cham : : Springer International Publishing :, 2016.
面頁冊數:	xiii, 166 p. : : ill., digital ;; 24 cm.
Contained By:	Springer eBooks
標題:	Topological dynamics.
標題:	Topology.
標題:	Physics.
標題:	Solid State Physics.
標題:	Mathematical Methods in Physics.
標題:	Magnetism, Magnetic Materials.
標題:	Semiconductors.
ISBN:	9783319256078
ISBN:	9783319256054
內容註:	The Su-Schrieffer-Heeger (SSH) model -- Berry phase, Chern Number -- Polarization and Berry Phase -- Adiabatic charge pumping, Rice-Mele model -- Current operator and particle pumping -- Two-dimensional Chern insulators - the Qi-Wu-Zhang model -- Continuum model of localized states at a domain wall -- Time-reversal symmetric two-dimensional topological insulators - the Bernevig-Hughes-Zhang model -- The Z2 invariant of two-dimensional topological insulators -- Electrical conduction of edge states.
摘要、提要註:	This course-based primer provides newcomers to the field with a concise introduction to some of the core topics in the emerging field of topological insulators. The aim is to provide a basic understanding of edge states, bulk topological invariants, and of the bulk--boundary correspondence with as simple mathematical tools as possible. The present approach uses noninteracting lattice models of topological insulators, building gradually on these to arrive from the simplest one-dimensional case (the Su-Schrieffer-Heeger model for polyacetylene) to two-dimensional time-reversal invariant topological insulators (the Bernevig-Hughes-Zhang model for HgTe). In each case the discussion of simple toy models is followed by the formulation of the general arguments regarding topological insulators. The only prerequisite for the reader is a working knowledge in quantum mechanics, the relevant solid state physics background is provided as part of this self-contained text, which is complemented by end-of-chapter problems.
電子資源:	http://dx.doi.org/10.1007/978-3-319-25607-8

A short course on topological insulators[electronic resource] :band structure and edge states in one and two dimensions /
Asboth, Janos K.

A short course on topological insulatorsband structure and edge states in one and two dimensions /[electronic resource] :by Janos K. Asboth, Laszlo Oroszlany, Andras Palyi. - Cham :Springer International Publishing :2016. - xiii, 166 p. :ill., digital ;24 cm. - Lecture notes in physics,v.9190075-8450 ;. - Lecture notes in physics ;v.830..

The Su-Schrieffer-Heeger (SSH) model -- Berry phase, Chern Number -- Polarization and Berry Phase -- Adiabatic charge pumping, Rice-Mele model -- Current operator and particle pumping -- Two-dimensional Chern insulators - the Qi-Wu-Zhang model -- Continuum model of localized states at a domain wall -- Time-reversal symmetric two-dimensional topological insulators - the Bernevig-Hughes-Zhang model -- The Z2 invariant of two-dimensional topological insulators -- Electrical conduction of edge states.

This course-based primer provides newcomers to the field with a concise introduction to some of the core topics in the emerging field of topological insulators. The aim is to provide a basic understanding of edge states, bulk topological invariants, and of the bulk--boundary correspondence with as simple mathematical tools as possible. The present approach uses noninteracting lattice models of topological insulators, building gradually on these to arrive from the simplest one-dimensional case (the Su-Schrieffer-Heeger model for polyacetylene) to two-dimensional time-reversal invariant topological insulators (the Bernevig-Hughes-Zhang model for HgTe). In each case the discussion of simple toy models is followed by the formulation of the general arguments regarding topological insulators. The only prerequisite for the reader is a working knowledge in quantum mechanics, the relevant solid state physics background is provided as part of this self-contained text, which is complemented by end-of-chapter problems.

ISBN: 9783319256078

Standard No.: 10.1007/978-3-319-25607-8doiSubjects--Topical Terms:

624944
Topological dynamics.

LC Class. No.: QA611.5

Dewey Class. No.: 515.39

A short course on topological insulators[electronic resource] :band structure and edge states in one and two dimensions /
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520 $a This course-based primer provides newcomers to the field with a concise introduction to some of the core topics in the emerging field of topological insulators. The aim is to provide a basic understanding of edge states, bulk topological invariants, and of the bulk--boundary correspondence with as simple mathematical tools as possible. The present approach uses noninteracting lattice models of topological insulators, building gradually on these to arrive from the simplest one-dimensional case (the Su-Schrieffer-Heeger model for polyacetylene) to two-dimensional time-reversal invariant topological insulators (the Bernevig-Hughes-Zhang model for HgTe). In each case the discussion of simple toy models is followed by the formulation of the general arguments regarding topological insulators. The only prerequisite for the reader is a working knowledge in quantum mechanics, the relevant solid state physics background is provided as part of this self-contained text, which is complemented by end-of-chapter problems.
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