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We show that shaped topological insulator (TI) nanowires, i.e. such that their cross-section radius varies along the wire length, can be tuned into a number of different transport regimes when immersed in a homogeneous coaxial magnetic…

Mesoscale and Nanoscale Physics · Physics 2020-10-06 Ansgar Graf , Raphael Kozlovsky , Klaus Richter , Cosimo Gorini

We study the magnetotransport properties of patterned 3D topological insulator nanostructures with several leads, such as kinks or Y-junctions, near the Dirac point with analytical as well as numerical techniques. The interplay of the…

Mesoscale and Nanoscale Physics · Physics 2021-03-10 Kristof Moors , Peter Schüffelgen , Daniel Rosenbach , Tobias Schmitt , Thomas Schäpers , Thomas L. Schmidt

We study transport across a time-dependent magnetic barrier present on the surface of a three-dimensional topological insulator. We show that such a barrier can be implemented for Dirac electrons on the surface of a three-dimensional…

Mesoscale and Nanoscale Physics · Physics 2020-07-29 Adithi Udupa , K. Sengupta , Diptiman Sen

We study the magneto-transport properties on the disordered surface of a topological insulator attached with a ferromagnet/ferromagnet junction. Since, in the surface Dirac Hamiltonian, out-of-plane magnetization induces a mass gap, while…

Mesoscale and Nanoscale Physics · Physics 2015-08-07 Idea Matsuzaki , Kentaro Nomura

We study the electronic and transport properties of a topological insulator nanowire including selective magnetic doping of its surfaces. We use a model which is appropriate to describe materials like Bi$_2$Se$_3$ within a k.p approximation…

Mesoscale and Nanoscale Physics · Physics 2016-01-06 Sergio Acero , Luis Brey , William Herrera , Alfredo Levy Yeyati

Magnetotransport through cylindrical topological insulator (TI) nanowires is governed by the interplay between quantum confinement and geometric (Aharonov-Bohm and Berry) phases. Here, we argue that the much broader class of TI nanowires…

Mesoscale and Nanoscale Physics · Physics 2020-04-01 Raphael Kozlovsky , Ansgar Graf , Denis Kochan , Klaus Richter , Cosimo Gorini

The surface of a three dimensional topological insulator (TI) hosts surface states whose properties are determined by a Dirac-like equation. The electronic system on the surface of TI nanowires with polygonal cross-sectional shape adopts…

Mesoscale and Nanoscale Physics · Physics 2025-03-28 Hallmann Oskar Gestsson , Andrei Manolescu , Jens H. Bardarson , Sigurdur I. Erlingsson

Topological surface states of three-dimensional topological insulator nanoribbons and their distinct magnetoconductance properties are promising for topoelectronic applications and topological quantum computation. A crucial building block…

We consider multi-terminal transport through a flake of rectangular shape of a two-dimensional topological insulator in the presence of an in-plane magnetic field. This system has been shown to be a second-order topological insulator, thus…

Mesoscale and Nanoscale Physics · Physics 2024-02-21 Joseph Poata , Fabio Taddei , Michele Governale

In the two-dimensional case the transition between ordinary and topological insulator states can be described by a massive Dirac model with the mass term changing its sign at the transition point. We theoretically investigate how such a…

Mesoscale and Nanoscale Physics · Physics 2015-03-17 G. Tkachov , E. M. Hankiewicz

In this chapter we review our work on the theory of quantum transport in topological insulator nanowires. We discuss both normal state properties and superconducting proximity effects, including the effects of magnetic fields and disorder.…

Mesoscale and Nanoscale Physics · Physics 2019-06-13 Jens H. Bardarson , Roni Ilan

The possible realization of dissipationless chiral edge current in a topological insulator / magnetic insulator heterostructure is based on the condition that the magnetic proximity exchange coupling at the interface is dominated by the…

Mesoscale and Nanoscale Physics · Physics 2017-11-08 Mingda Li , Qichen Song , Weiwei Zhao , Joseph A Garlow , Te-Huan Liu , Lijun Wu , Yimei Zhu , Jagadeesh Moodera , Moses H W Chan , Gang Chen , Cui-Zu Chang

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

Magnetic topological insulators can host chiral 1D edge channels at zero magnetic field, when a magnetic gap opens at the Dirac point in the band structure of 2D topological surface states, leading to the quantum anomalous Hall effect in…

The non-trivial topology of the three-dimensional (3D) topological insulator (TI) dictates the appearance of gapless Dirac surface states. Intriguingly, when a 3D TI is made into a nanowire, a gap opens at the Dirac point due to the quantum…

Mesoscale and Nanoscale Physics · Physics 2021-05-05 Felix Münning , Oliver Breunig , Henry F. Legg , Stefan Roitsch , Dingxun Fan , Matthias Rößler , Achim Rosch , Yoichi Ando

Three-dimensional topological insulators are characterized by the presence of a bandgap in their bulk and gapless Dirac fermions at their surfaces. New physical phenomena originating from the presence of the Dirac fermions are predicted to…

Mesoscale and Nanoscale Physics · Physics 2011-12-12 B. Sacepe , J. B. Oostinga , J. Li , A. Ubaldini , N. J. G. Couto , E. Giannini , A. F. Morpurgo

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

We study the properties of Dirac fermions on the surface of a topological insulator in the presence of crossed electric and magnetic fields. We provide an exact solution to this problem and demonstrate that, in contrast to their…

Strongly Correlated Electrons · Physics 2013-05-29 S. Mondal , D. Sen , K. Sengupta , R. Shankar

We explore the scattering of Dirac electrons in a double-gated topological insulator in the presence of magnetic proximity effects and warped surface states. It is found that a magnetic field can shift the Dirac cone in momentum space and…

Mesoscale and Nanoscale Physics · Physics 2019-08-13 Masomeh Arabikhah , Alireza Saffarzadeh

We theoretically study the magnetoresistance (MR) of two-dimensional massless Dirac electrons as found on the surface of three-dimensional topological insulators (3D TIs) that is capped by a ferromagnetic insulator (FI). We calculate charge…

Mesoscale and Nanoscale Physics · Physics 2017-04-04 Takahiro Chiba , Saburo Takahashi , Gerrit E. W. Bauer
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