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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…

Mesoscale and Nanoscale Physics · Physics 2015-06-23 Yositake Takane

We study the stability against disorder of surface states of weak $\mathbb{Z}_2$ topological insulators (superconductors) which are stacks of strong $\mathbb{Z}_2$ topological insulators (superconductors), considering representative Dirac…

Mesoscale and Nanoscale Physics · Physics 2014-01-21 Takahiro Morimoto , Akira Furusaki

Three-dimensional topological insulators feature Dirac-like surface states which are topologically protected against the influence of weak quenched disorder. Here we investigate the effect of surface disorder beyond the weak-disorder limit…

Strongly Correlated Electrons · Physics 2012-05-30 Gerald Schubert , Holger Fehske , Lars Fritz , Matthias Vojta

A global phase diagram of disordered weak and strong topological insulators is established numerically. As expected, the location of the phase boundaries is renormalized by disorder, a feature recognized in the study of the so-called…

Mesoscale and Nanoscale Physics · Physics 2013-06-14 Koji Kobayashi , Tomi Ohtsuki , Ken-Ichiro Imura

Topological insulators have an insulating bulk but a metallic surface. In the simplest case, the surface electronic structure of a 3D topological insulator is described by a single 2D Dirac cone. A single 2D Dirac fermion cannot be realized…

Mesoscale and Nanoscale Physics · Physics 2013-04-08 Jens H. Bardarson , Joel E. Moore

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…

Mesoscale and Nanoscale Physics · Physics 2020-08-04 Sander H. Kooi , Guido van Miert , Carmine Ortix

A weak topological insulator (WTI) bears, generally, an even number of Dirac cones on its surface; they are susceptible of doubling, while on the surface of a certain orientation it shows no Dirac cone. On this "dark" surface of a WTI, we…

Mesoscale and Nanoscale Physics · Physics 2013-07-10 Yukinori Yoshimura , Akihiko Matsumoto , Yositake Takane , Ken-Ichiro Imura

To harness the true potential of topological insulators as quantum materials for information processing, it is imperative to maximise topological surface state conduction, while simulateneously improving their quantum coherence. However,…

Mesoscale and Nanoscale Physics · Physics 2018-08-21 Abhishek Banerjee , R. Ganesan , P. S. Anil Kumar

The electronic transport experiments on topological insulators exhibit a dilemma. A negative cusp in magnetoconductivity is widely believed as a quantum transport signature of the topological surface states, which are immune from…

Mesoscale and Nanoscale Physics · Physics 2014-04-09 Hai-Zhou Lu , Shun-Qing Shen

A workable model for describing dislocation lines introduced into a three-dimensional topological insulator is proposed. We show how fragile surface Dirac cones of a weak topological insulator evolve into protected gapless helical modes…

Mesoscale and Nanoscale Physics · Physics 2015-03-19 Ken-Ichiro Imura , Yositake Takane , Akihiro Tanaka

Low-field magnetotransport measurements of topological insulators such as Bi$_2$Se$_3$ are important for revealing the nature of topological surface states by quantum corrections to the conductivity, such as weak-antilocalization. Recently,…

Recent theories and experiments have suggested that strong spin-orbit coupling effects in certain band insulators can give rise to a new phase of quantum matter, the so-called topological insulator, which can show macroscopic entanglement…

Mesoscale and Nanoscale Physics · Physics 2009-08-26 Y. Xia , D. Qian , D. Hsieh , L. Wray , A. Pal , H. Lin , A. Bansil , D. Grauer , Y. S. Hor , R. J. Cava , M. Z. Hasan

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…

Topological insulators are crystalline materials that have revolutionized our ability to control wave transport. They provide us with unidirectional channels that are immune to obstacles, defects or local disorder, and can even survive some…

Applied Physics · Physics 2022-12-12 Zhe Zhang , Pierre Delplace , Romain Fleury

A magnetoconductivity formula is presented for the surface states of a magnetically doped topological insulator. It reveals a competing effect of weak localization and weak antilocalization in quantum transport when an energy gap is opened…

Mesoscale and Nanoscale Physics · Physics 2015-03-18 Hai-Zhou Lu , Junren Shi , Shun-Qing Shen

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…

Mesoscale and Nanoscale Physics · Physics 2016-04-20 Björn Sbierski , Martin Schneider , Piet W. Brouwer

We consider the transport properties of topological insulators surface states in the presence of uncorrelated point-like disorder, both in the classical and quantum regimes. The transport properties of those two-dimensional surface states…

Mesoscale and Nanoscale Physics · Physics 2012-05-24 Pierre Adroguer , David Carpentier , Jérôme Cayssol , Edmond Orignac

Weak localization and weak anti-localization are quantum interference effects in quantum transport in a disordered electron system. Weak anti-localization enhances the conductivity and weak localization suppresses the conductivity with…

Mesoscale and Nanoscale Physics · Physics 2014-09-05 Hai-Zhou Lu , Shun-Qing Shen

The two-dimensional (2D) surface state of the three-dimensional strong topological insulator (STI) is fundamentally distinct from other 2D electron systems in that the Fermi arc encircles an odd number of Dirac points. The TI surface is in…

Mesoscale and Nanoscale Physics · Physics 2013-06-28 Dohun Kim , Paul Syers , Nicholas P. Butch , Johnpierre Paglione , Michael S. Fuhrer

This paper presents a fast algorithm for computing transport properties of two-dimensional Dirac operators with linear domain walls, which model the macroscopic behavior of the robust and asymmetric transport observed at an interface…

Mathematical Physics · Physics 2023-05-17 Guillaume Bal , Jeremy G Hoskins , Zhongjian Wang
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