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A direct signature of electron transport at the metallic surface of a topological insulator is the Aharonov-Bohm oscillation observed in a recent study of Bi_2Se_3 nanowires [Peng et al., Nature Mater. 9, 225 (2010)] where conductance was…

Mesoscale and Nanoscale Physics · Physics 2010-10-11 J. H. Bardarson , P. W. Brouwer , J. E. Moore

We study transport properties of a topological insulator nanowire when a magnetic field is applied along its length. We predict that with strong surface disorder, a characteristic signature of the band topology is revealed in Aharonov Bohm…

Mesoscale and Nanoscale Physics · Physics 2011-06-15 Yi Zhang , Ashvin Vishwanath

We study the magnetoconductance of topological insulator nanowires in a longitudinal magnetic field, including Aharonov-Bohm, Altshuler-Aronov-Spivak, perfectly conducting channel, and universal conductance fluctuation effects. Our focus is…

Mesoscale and Nanoscale Physics · Physics 2018-01-26 Vincent E. Sacksteder , Quansheng Wu

A topological insulator (TI) nanowire (NW), where the core is insulating and the 2D spin-helical Dirac fermion topological surface states (TSS) are circumferentially quantized into a series of 1D sub-bands, promises novel topological…

Mesoscale and Nanoscale Physics · Physics 2017-06-22 Luis A. Jauregui , Michael T. Pettes , Leonid P. Rokhinson , Li Shi , Yong P. Chen

We present low-temperature magnetotransport measurements on selectively-grown Sb$_2$Te$_3$-based topological insulator ring structures. These topological insulator ring geometries display clear Aharonov-Bohm oscillations in the conductance…

Topological insulator nanowires with uniform cross section, combined with a magnetic flux, can host both a perfectly transmitted mode and Majorana zero modes. Here we consider nanowires with rippled surfaces---specifically, wires with a…

Mesoscale and Nanoscale Physics · Physics 2020-01-10 Emmanouil Xypakis , Jun-Won Rhim , Jens H. Bardarson , Roni Ilan

In three-dimensional topological insulators (3D TI) nanowires, transport occurs via gapless surface states where the spin is fixed perpendicular to the momentum[1-6]. Carriers encircling the surface thus acquire a \pi Berry phase, which is…

Mesoscale and Nanoscale Physics · Physics 2019-05-22 S. Cho , B. Dellabetta , R. D. Zhong , J. Schneeloch , T. S. Liu , G. Gu , Matthew J. Gilbert , Nadya Mason

Magnetic oscillations of Dirac surface states of topological insulators are expected to be associated with the formation of Landau levels or the Aharonov-Bohm effect. We instead study the conductance of Dirac surface states subjected to an…

We report phase coherent electron transport in PbTe nanowire networks with a loop geometry. Magneto-conductance shows Aharonov-Bohm (AB) oscillations with periods of $h/e$ and $h/2e$ in flux. The amplitude of $h/2e$ oscillations is enhanced…

We study the Aharonov-Bohm effect in an openended tube made of a graphene sheet whose dimensions are much larger than the interatomic distance in graphene. An external magnetic field vanishes on and in the vicinity of the graphene sheet and…

Mathematical Physics · Physics 2020-09-28 Mikhail I. Katsnelson , Vladimir Nazaikinskii

The Aharonov-Bohm (AB) effect was convincingly demonstrated using a micro-sized toroidal magnet but it is almost always explained using an infinitely-long solenoid or an infinitely-long flux line. The main reason for this is that the formal…

Quantum Physics · Physics 2022-06-02 Ricardo Heras

One of the key features of the Majorana bound states emerging in topological superconducting (SC) wires is increasing oscillations of their energy under the growth of magnetic field or chemical potential due to concomitant enhancement of…

Mesoscale and Nanoscale Physics · Physics 2022-04-25 S. V. Aksenov

We report the observation of a dependence of the low temperature resistance of individual single-crystal bismuth nanowires on the Aharonov-Bohm phase of the magnetic flux threading the wire. 55 and 75-nm wires were investigated in magnetic…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 A. Nikolaeva , D. Gitsu , L. Konopko , M. J. Graf , T. E. Huber

Crystalline topological insulator nanowires with a magnetic flux threaded through their cross section display Aharanov-Bohm conductance oscillations. A characteristic of these oscillations is the perfectly transmitted mode present at…

Mesoscale and Nanoscale Physics · Physics 2026-02-18 Miguel F. Martínez , Adolfo G. Grushin , Jens H. Bardarson

We study the Aharonov-Bohm effect in a coupled 2$\times$2 quantum dot array with two-terminals. A striking conductance dip arising from the Fano interference is found as the energy levels of the intermediate dots are mismatched, which is…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Z. Y. Zeng , F. Claro , Alejandro Pérez

Hinge states are the hallmark of the 3D higher-order topological insulator(HOTI). Here, we show that chiral hinge states can be identified by the magnetic field induced Aharonov-Bohm(AB) oscillation of the electron conductance in the…

Mesoscale and Nanoscale Physics · Physics 2021-08-27 Kun Luo , Hao Geng , Li Sheng , Wei Chen , D. Y. Xing

The Aharonov-Bohm effect is the prime example of a zero-field-strength configuration where a non-trivial vector potential acquires physical significance, a typical quantum mechanical effect. We consider an extension of the traditional A-B…

Superconductivity · Physics 2010-02-16 Fabio Franchini , Alfred Scharff Goldhaber

We find a fine structure in the Aharonov-Bohm effect, characterized by the appearence of a new type of periodic oscillations having smaller fractional period and an amplitude, which may compare with the amplitude of the conventional…

Condensed Matter · Physics 2009-10-22 F. V. Kusmartsev , Minoru Takahashi

Topological insulators represent novel phases of quantum matter with an insulating bulk gap and gapless edges or surface states. The two-dimensional topological insulator phase was predicted in HgTe quantum wells and confirmed by transport…

Mesoscale and Nanoscale Physics · Physics 2015-05-14 Hailin Peng , Keji Lai , Desheng Kong , Stefan Meister , Yulin Chen , Xiao-Liang Qi , Shou-Cheng Zhang , Zhi-Xun Shen , Yi Cui

Recent experiments on amorphous materials have established the existence of surface states similar to those of crystalline three-dimensional topological insulators (TIs). Amorphous topological insulators are also independently of interest…

Mesoscale and Nanoscale Physics · Physics 2024-11-18 Siddhant Mal , Elizabeth J. Dresselhaus , Joel E. Moore
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