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We consider weak topological insulators with a twofold rotation symmetry around the dark direction, and show that these systems can be endowed with the topological crystalline structure of a higher-order topological insulator protected by…

介观与纳米尺度物理 · 物理学 2020-08-04 Sander H. Kooi , Guido van Miert , Carmine Ortix

Three-dimensional topological insulators are classified into "strong" (STI) and "weak" (WTI) according to the nature of their surface states. While the surface states of the STI are topologically protected from localization, this does not…

材料科学 · 物理学 2012-07-04 Zohar Ringel , Yaacov E. Kraus , Ady Stern

We report the experimental realization of two-dimensional (2D) weak topological insulator (WTI) in spinless Su-Schrieffer-Heeger circuits with parity-time and chiral symmetries. Strong and weak $\mathbb{Z}_2$ topological indexes are adopted…

介观与纳米尺度物理 · 物理学 2022-04-01 Huanhuan Yang , Lingling Song , Yunshan Cao , Peng Yan

A three-dimensional weak topological insulator (WTI) can be regarded as stacked layers of two-dimensional quantum spin-Hall insulators, each of which accommodates a one-dimensional helical edge mode. Massless Dirac electrons emerge on a…

介观与纳米尺度物理 · 物理学 2016-03-23 Takashi Arita , Yositake Takane

In a typical situation, gapless surface states of a three-dimensional (3D) weak topological insulator (WTI) appear only on sides, leaving the top and bottom surfaces gapped. To describe massless Dirac electrons emergent on such side…

介观与纳米尺度物理 · 物理学 2015-06-23 Takashi Arita , Yositake Takane

Weak topological insulators have an even number of Dirac cones in their surface spectrum and are thought to be unstable to disorder, which leads to an insulating surface. Here we argue that the presence of disorder alone will not localize…

介观与纳米尺度物理 · 物理学 2012-02-17 Roger S. K. Mong , Jens H. Bardarson , Joel E. Moore

In $strong$ topological insulators protected surface states are always manifest, while in $weak$ topological insulators (WTI) the corresponding metallic surface states are either manifest or hidden, depending on the orientation of the…

介观与纳米尺度物理 · 物理学 2015-12-02 Akihiko Matsumoto , Takashi Arita , Yositake Takane , Yukinori Yoshimura , Ken-Ichiro Imura

The concept of topological insulator (TI) has introduced a new point of view to condensed-matter physics, relating a priori unrelated subfields such as quantum (spin, anomalous) Hall effects, spin-orbit coupled materials, some classes of…

介观与纳米尺度物理 · 物理学 2015-01-20 Yukinori Yoshimura , Koji Kobayashi , Tomi Ohtsuki , Ken-Ichiro Imura

A three-dimensional weak topological insulator (WTI), being equivalent to stacked layers of two-dimensional quantum spin-Hall insulators, accommodates massless Dirac electrons on its side surface. A notable feature of WTIs is that surface…

介观与纳米尺度物理 · 物理学 2015-08-26 Yositake Takane

The low-energy theory of the surface of the topological crystalline insulator (TCI) is characterized by four Dirac cones anisotropic into the $x$ and $y$ directions. Recent experiments have shown that the band gap can be introduced in these…

介观与纳米尺度物理 · 物理学 2014-06-03 Motohiko Ezawa

While strong topological insulators (STI) have been experimentally realized soon after their theoretical predictions, a weak topological insulator (WTI) has yet to be unambiguously confirmed. A major obstacle is the lack of distinct natural…

介观与纳米尺度物理 · 物理学 2016-02-11 Cheng-Cheng Liu , Jin-Jian Zhou , Yugui Yao , Fan Zhang

The spectrum of massless Dirac electrons on the side surface of a three-dimensional weak topological insulator is significantly affected by whether the number of unit atomic layers constituting the sample is even or odd; it has a…

介观与纳米尺度物理 · 物理学 2015-06-23 Yositake Takane

Strong topological insulators may have nonzero weak indices. The nonzero weak indices allow for the existence of topologically protected helical states along line defects of the lattice. If the lattice admits line defects that connect…

介观与纳米尺度物理 · 物理学 2016-04-20 Björn Sbierski , Martin Schneider , Piet W. Brouwer

A quantum spin Hall insulator hosts topological states at the one-dimensional edge, along which backscattering by nonmagnetic impurities is strictly prohibited and dissipationless current flows. Its 3D analogue, a weak topological insulator…

The paradigm of classifying three-dimensional (3D) topological insulators into strong and weak ones (STI and WTI) opens the door for the discovery of various topological phases of matter protected by different symmetries and defined in…

Based on first-principles calculations, we predict Bi2TeI, a stoichiometric compound synthesized, to be a weak topological insulator (TI) in layered subvalent bismuth telluroiodides. Within a bulk energy gap of 80 meV, two Dirac-cone-like…

材料科学 · 物理学 2015-08-17 Peizhe Tang , Binghai Yan , Wendong Cao , Shu-Chun Wu , Claudia Felser , Wenhui Duan

Three-dimensional topological insulators host surface states with linear dispersion, which manifest as a Dirac cone. Nanoscale transport measurements provide direct access to the transport properties of the Dirac cone in real space and…

Weak topological insulators possess a symmetry related set of Dirac-Weyl cones in the surface Brillouin zone, implying misorientation between the principle axis of the low energy manifold of the bulk and the surface normal. We show that…

材料科学 · 物理学 2020-06-20 N. Klier , F. Rost , R. Gupta , S. Sharma , O. Pankratov , S. Shallcross

Superconductivity of a single two-dimensional Dirac fermion offers a natural route to topological superconductivity. While usually considered extrinsic -- arising from proximity to a conventional superconductor -- we investigate when a…

超导电性 · 物理学 2026-04-09 Omid Tavakol , Thomas Scaffidi

We propose a different route to time-reversal invariant Weyl semimetals employing multilayer heterostructures comprising ordinary "trivial" insulators and nontrivial insulators with \textit{pairs} of protected Dirac cones on the surface. We…

介观与纳米尺度物理 · 物理学 2017-09-13 Alexander Lau , Carmine Ortix
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