# and spin transport phenomena in quantum materials and devices. 2D insulators (hexagonal boron nitride), layered topological insulators

A topological insulator is a material that behaves as an insulator in its interior but whose surface contains conducting states, meaning that electrons can only move along the surface of the material. Topological insulators have non-trivial symmetry-protected topological order; however, having a con

2019-02-28 2019-02-28 2020-07-30 Topological insulator materials also exhibit a number of excellent optical properties, including ultrahigh bulk refractive index values, near-infrared frequency transparency, unusual 2021-04-01 A topological insulator is a material that behaves as an insulator in its interior but whose surface contains conducting states, meaning that electrons can only move along the surface of the material. Topological insulators have non-trivial symmetry-protected topological order; however, having a conducting surface is not unique to topological insulators, since ordinary band insulators can also support conductive surface states. What is special about topological insulators is that 2013-04-21 · Topological insulators represent a new quantum state of matter which is characterized by peculiar edge or surface states that show up due to a topological character of the bulk wave functions. This review presents a pedagogical account on topological insulator materials with an emphasis on basic theory and materials properties. Topological insulators are materials that are electrically insulating in the bulk but can conduct electricity due to topologically protected electronic edge or surface states. Since 2013, the German Research Foundation (DFG) has been supporting the Priority Program “Topological Insulators: Materials – Fundamental Properties – Devices” (SPP 1666). Topological Insulator Materials.

2013-04-21 Topological Insulator Materials. Topological insulators represent a new quantum state of matter which is characterized by peculiar edge or surface states that show up due to a topological character of the bulk wave functions. This review presents a pedagogical account on topological insulator materials with an emphasis on basic theory and materials 2013-01-01 The discovery of topological insulators as a new state of matter has generated immense interest in this new class of materials. Three-dimensional (3D) topological insulators are characterized by the presence of an odd number of families of Dirac fermions—ideally one- at each of their surfaces. 2012-03-23 Topological quantum materials are a class of compounds featuring electronic band structures, which are topologically distinct from common metals and insulators. These materials have emerged as exceptionally fertile ground for materials science research. Focus on Topological Insulator Materials.

## Abstract [en]. Topological insulators and topological crystalline insulators are materials that have a bulk band structure that is gapped, but that also have

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### material.’Topological’invariants’take’the’form’of the simplest 2D topological insulator – the quantum spinHall state (figure 1c). This was first predicted in 2005, and occurs when the spin-up and spin-down elec-trons, which feel equal and opposite spin–orbit “mag-

This review presents a pedagogical account on topological insulator materials with an emphasis on basic theory and materials properties. Topological insulators Topological insulators are insulating materials that conduct electricity on their surface via special surface electronic states The surface states of topological insulators are topologically protected, which means that unlike ordinary surface states they cannot be destroyed by impurities or imperfections Topological insulators represent a new quantum state of matter which is characterized by peculiar edge or surface states that show up due to a topological character of the bulk wave functions.

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solotronics near the surface of a semiconductor and a topological insulator.

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Topological insulators have attracted much interest recently from Condensed Matter Physics as well as the wider scientific community. They are characterized by having bulk electronic states like that of a standard band gap insulator but with spin-momentum locked conduction channels only at the surface of the material.

This review presents a pedagogical account on topological insulator materials with an emphasis on basic theory and materials properties. Topological insulators (TIs) are new states of quantum matter with a full insulating gap in the bulk of the material and gapless Dirac fermion states on the surface (1–3). The compounds identified so far to be TIs, such as HgTe, Bi 1− x Sb x , and Bi 2 Te 3 , are band insulators with band inversion driven by spin-orbit coupling ( 4 ). 2 topological invariant governs the effect, in three dimensions there are 4 invariants distinguishing 16 phases with two general classes: weak (WTI) and strong (STI) topological insulators.

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### Topological insulators represent a new quantum state of matter which is characterized by peculiar edge or surface states that show up due to a topological character of the bulk wave functions. This review presents a pedagogical account on topological insulator materials with an emphasis on basic theory and materials properties.

2013, DOI: 10.1038/nmat3570). “In other words, this protection survives 2021-04-02 2011-03-22 2019-02-28 Topological crystalline insulators are new states of matter in which the topological nature of electronic structures arises from crystal symmetries. Here we predict the first material realization of topological crystalline insulator in the semiconductor SnTe by identifying its non-zero topological i … Topological insulators represent a new quantum state of matter which is characterized by peculiar edge or surface states that show up due to a topological character of the bulk wave functions. This review presents a pedagogical account on topological insulator materials with an emphasis on basic theory and materials properties.

## Topological insulators are materials that are electrically insulating in the bulk but can conduct electricity due to topologically protected electronic edge or surface states.

netic ﬁeld gave rise to the discovery of topological insulators [3].

2020-09-09 · Topological magnets are a new family of quantum materials providing great potential to realize emergent phenomena, such as quantum anomalous Hall effect and axion-insulator state. Here we present our discovery that stoichiometric ferromagnet MnBi8Te13 with natural heterostructure MnBi2Te4-(Bi2Te3)3 is an unprecedented half-magnetic topological insulator, with the magnetization existing at the Topological insulators represent a new quantum state of matter which is characterized by peculiar edge or surface states that show up due to a topological character of the bulk wave functions.