Evanescent channels and scattering in cylindrical nanowire heterostructures

Racec, Paul N.; Racec, E. R.; Neidhardt, Hagen

doi:10.1103/physrevb.79.155305

Cited by 27 publications

(57 citation statements)

References 34 publications

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“…the CSN in contact with the external leads, we use the scattering formalism based on the R-matrix method. This method has been used in similar transport problems in quantum dots connected to the leads via quantum point contacts [25], in planar nanotransistors [26,27], or in cylindrical bulk nanowires with radial constrictions, at zero magnetic field [28][29][30][31]. The approach consists of two parts.…”

Section: The Computational Methodsmentioning

confidence: 99%

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Conductance oscillations of core-shell nanowires in transversal magnetic fields

et al. 2016

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We analyze theoretically electronic transport through a core-shell nanowire in the presence of a transversal magnetic field. We calculate the conductance for a variable coupling between the nanowire and the attached leads and show how the snaking states, which are low-energy states localized along the lines of vanishing radial component of the magnetic field, manifest their existence. In the strong coupling regime they induce flux periodic, Aharonov-Bohm-like, conductance oscillations, which, by decreasing the coupling to the leads, evolve into well resolved peaks. The flux periodic oscillations arise due to interference of the snaking states, which is a consequence of backscattering at either the contacts with leads or magnetic/potential barriers in the wire.

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Section: The Computational Methodsmentioning

confidence: 99%

“…In the scattering region they are obtained with Eq. (3), using the coefficients α a expressed with the S matrix [28],…”

Section: We Energy Spectra and Wave Functionsmentioning

confidence: 99%

Conductance oscillations of core-shell nanowires in transversal magnetic fields

et al. 2016

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“…Over the years there has been a considerable interest in transport of photons and electrons in optical waveguides and quantum wires [1]. Varying the diameter of a wire one can achieve resonance and non-resonance tunnelling conditions.…”

Section: Introductionmentioning

confidence: 99%

Statistics of resonance and nonresonance tunneling of fermionized cold atoms

Sokolovski

Baskin

2014

Phys. Rev. A

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We show that a short-range strong repulsive (contact) interaction between the particles in the barrier may change the statistics of two-particle tunnelling. In the case of a resonance of a width Γ, the effect would be observed if the time between the two impacts is of order ofh/Γ. The statistics of non-resonance tunnelling across a broad potential barrier remain unaffected, which suggests that there is no appreciable delay in the classically forbidden region.

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“…By comparing T in both cases, we find that a slightly asymmetric Fano dip going to zero appears at the energy just below the threshold energy ǫ 1 in the transmission spectra for the helical nanotube, however, this doesn't happen in the bent cylindrical nanotube. This dip is due to the quasibound state splitting off from a higher evanescent channel [45]. It is rather clear when we focus on T 0,1 − in Fig.…”

Section: Fano Resonancementioning

confidence: 82%

Coherent electron transport in a helical nanotube

Liang

Wang

et al. 2016

Physica E: Low-dimensional Systems and Nanostructures

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The quantum dynamics of carriers bound to helical tube surfaces is investigated in a thin-layer quantization scheme. By numerically solving the open-boundary Schrödinger equation in curvilinear coordinates, geometric effect on the coherent transmission spectra is analysed in the case of single propagating mode as well as multimode. It is shown that, the coiling endows the helical nanotube with different transport properties from a bent cylindrical surface. Fano resonance appears as a purely geometric effect in the conductance, the corresponding energy of quasibound state is obviously influenced by the torsion and length of the nanotube. We also find new plateaus in the conductance. The transport of double-degenerate mode in this geometry is reminiscent of the Zeeman coupling between the magnetic field and spin angular momentum in quasi-one-dimensional structure.

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Evanescent channels and scattering in cylindrical nanowire heterostructures

Cited by 27 publications

References 34 publications

Conductance oscillations of core-shell nanowires in transversal magnetic fields

Conductance oscillations of core-shell nanowires in transversal magnetic fields

Statistics of resonance and nonresonance tunneling of fermionized cold atoms

Coherent electron transport in a helical nanotube

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