Aharonov–Bohm oscillations in a quasi-ballistic three-dimensional topological insulator nanowire

Cho, Sungjae; Dellabetta, Brian; Zhong, Ruidan; Schneeloch, John; Liu, Tiansheng; Gu, Genda; Gilbert, Matthew J.; Mason, Nadya

doi:10.1038/ncomms8634

Cited by 116 publications

(145 citation statements)

References 30 publications

(80 reference statements)

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“…Surprisingly, a phase-shift takes place in the range from 1 to 2 T. The conductance peaks are at the integer quantum flux (Φ=h/e, 2h/e) before the shift, while the conductance peaks are stable at the half-integer quantum flux (Φ=(5+1/2)h/e, (6+1/2)h/e,…) after the phase-shift regime (Fig.7d). The half-integer conductance peak behavior is very similar to that observed in topological insulators, which was ascribed to the π Berry phase of the surface states [58][59][60][61][62] . We propose that the degeneracy lifting of the two Dirac nodes under an external magnetic field will provide an additional Berry phase π for the surface states, leading to the observed phase-shift.…”

Section: Aharonov-bohm Oscillations In Dirac Semimetal CD 3 As 2 Nanosupporting

confidence: 56%

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Topological transport in Dirac electronic systems: A concise review

Song¹,

Sheng²,

Wang³

et al. 2017

Chinese Phys. B

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Various novel physical properties have emerged in Dirac electronic systems, especially the topological characters protected by symmetry. Current studies on these systems have been greatly promoted by the intuitive concepts of Berry phase and Berry curvature, which provide precise definitions of the topological orders. In this topical review, transport properties of topological insulator (Bi 2 Se 3 ), topological Dirac semimetal (Cd 3 As 2 ) and topological insulator-graphene heterojunction are presented and discussed. Perspectives about transport properties of two-dimensional topological nontrivial systems, including topological edge transport, topological valley transport and topological Weyl semimetals, are provided.

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Section: Aharonov-bohm Oscillations In Dirac Semimetal CD 3 As 2 Nanosupporting

confidence: 56%

“…The oscillating period is described by the Φ/Φ 0 , where Φ is the magnetic flux threading the nanowire cross section and Φ 0 =h/e. The A-B oscillations have been reported in topological insulator nanoribbons and nanowires [58][59][60][61][62] .…”

Section: Aharonov-bohm Oscillations In Dirac Semimetal CD 3 As 2 Nanomentioning

confidence: 99%

Topological transport in Dirac electronic systems: A concise review

Song¹,

Sheng²,

Wang³

et al. 2017

Chinese Phys. B

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“…This model successfully explain the π-AB oscillations observed in the TI nanostructures [29][30][31].…”

mentioning

confidence: 53%

“…But notice that in metallic cylinders the h/e period AB oscillations cannot be observed due to the ensemble averaging of different slices of the metal cylinder [24,25]. The AB oscillations observed in topological nanoribbons are believed to originate from the quantum confinement and the circumferential interference of the surface states [26][27][28][29][30][31]. Moreover, the spin-helical nature of the topological surface states would introduce an additional Berry phase π as the carriers cycle along the perimeter [16,19,[32][33][34][35][36][37][38].…”

mentioning

confidence: 99%

Gate-tuned Aharonov-Bohm interference of surface states in a quasiballistic Dirac semimetal nanowire

Lin

Wang

et al. 2017

Phys. Rev. B

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Dirac semimetals [1], such as Cd 3 As 2 or Na 3 Bi [2][3][4][5][6][7][8][9][10], show a linear electronic dispersion in three dimensions described by two copies of the Weyl equation. Applying a magnetic field can break the time reversal symmetry, and the Dirac semimetal is transformed into a Weyl semimetal with the two Weyl nodes separated in the momentum space [10,11]. Chiral charge pumping between the Weyl nodes with different chirality is predicted, which brings the Weyl fermions into the experimental realm. Recently, anomalous transport properties signaled by a pronounced negative magnetoresistance are observed as the evidence for the chiral anomaly effect [10,12].Besides this, the surface dispersion-relation of a Weyl semimetal is topologically equivalent to a non-compact Riemann surface without equal-energy contour that encloses the projection of the Weyl point [13], leading to the emergence of surface Fermi arcs [14]. Lots of angle-resolved photoemission spectroscopy (ARPES) experiments [7,[15][16][17][18] [16,19,[32][33][34][35][36][37][38]. Although the one-dimensional helical transport has been demonstrated in topological insulator nanowires through measuring the AB oscillations is the flux quantum and , where is the measured magnetic field periodicity ( in this case) and S is the cross-sectional area.From the magnetic field periodicity, we can deduce the cross-sectional area to be , which is consistent with the nanowire diameter ~58 nm. In To further clearly present the conductance oscillations, we plot the mapping of ∆G versus gate voltage and magnetic field in Fig. 1d. Clearly there are two kinds of phase modulations on the interference. One is tuned by gate voltage, and the other is influenced by the magnetic field. At a fixed gate voltage, if the conductance reaches the minimum at zero magnetic field, the conductance will be the maximum at half integer multiple of ; if the conductance is maximum at zero magnetic field, the conductance will be the maximum at integer multiple of . The phase of the AB interference is strongly dependent on gate voltage. while when the chirality is -1, the energy dispersion has a similar form with a sign 6 change. This physics picture is depicted in Fig. 2. At zero magnetic field, that is =0, the original linear energy dispersion becomes gapped with a series of sub-bands, as shown in Fig. 2a. The red and blue lines represent the chirality to be +1 and -1, respectively. According to the surface band splitting, there should emerge a periodic oscillation when the Fermi level crosses the sub-bands continuously. This is what happens in our Cd 3 As 2 nanowires, as shown in Fig. 1b.When a magnetic field is applied, the corresponding AB oscillation term should be considered. The surface energy band diagrams at the magnetic flux and are depicted in Fig. 2b, where the letter L and R denote the chirality of Weyl nodes to be +1 or −1. Apparently, when the magnetic flux is half integer of Ф 0 , the linear energy band with specified chirality emerges. The quantum transport can be...

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“…In these systems the surface state contribution could be more easily extracted in transport experiments, as demonstrated by the observation of conductance oscillations associated to an Aharonov-Bohm flux piercing the nanowire [14,16] and by magnetoresistance measurements [17]. The possibility to induce a magnetization of the surface states of a TI nanowire by selective magnetic doping has generated a number of theoretical studies [11,13,18].…”

Section: Introductionmentioning

confidence: 99%

Transport in selectively magnetically doped topological insulator wires

2015

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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 and consider nanowires with a rectangular geometry. Within this model the magnetic doping at the (111) surfaces induces a Zeeman field which opens a gap at the Dirac cones corresponding to the surface states. For obtaining the transport properties in a two terminal configuration we use a recursive Green's function method based on a tight-binding model which is obtained by discretizing the original continuous model. For the case of uniform magnetization of two opposite nanowire (111) surfaces we show that the conductance can switch from a quantized value of e 2 /h (when the magnetizations are equal) to a very small value (when they are opposite). We also analyze the case of nonuniform magnetizations in which the Zeeman field on the two opposite surfaces change sign at the middle of the wire. For this case we find that conduction by resonant tunneling through a chiral state bound at the middle of the wire is possible. The resonant level position can be tuned by imposing an Aharonov-Bohm flux through the nanowire cross section.

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Aharonov–Bohm oscillations in a quasi-ballistic three-dimensional topological insulator nanowire

Cited by 116 publications

References 30 publications

Topological transport in Dirac electronic systems: A concise review

Topological transport in Dirac electronic systems: A concise review

Gate-tuned Aharonov-Bohm interference of surface states in a quasiballistic Dirac semimetal nanowire

Transport in selectively magnetically doped topological insulator wires

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