Linear conductance of an interacting carbon nanotube ring

Eroms, Matthis; Mayrhofer, Leonhard; Grifoni, Milena

doi:10.1103/physrevb.78.075403

Cited by 5 publications

(7 citation statements)

References 37 publications

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“…Equa tions (35) and (36) reveal coexisting of two types of oscillations: the AB oscillations with φ and AC oscilla tions with δ. Importantly, AC oscillations of tunneling conductance exist even in the case of zero external field.…”

Section: Noninteracting Ring With Spin-orbit Couplingmentioning

confidence: 97%

“…(8). The expressions for the full transmis sion coefficient and the spin polarization become (35) where .…”

Section: Noninteracting Ring With Spin-orbit Couplingmentioning

confidence: 99%

“…The peak arises each time when one of the flux depen dent energy levels in the ring crosses the Fermi energy (AB resonances are also affected by the Coulomb blockade [34,35]). Based on this physical picture, one could expect the suppression of the resonance struc ture at T ӷ Δ, where Δ is the level spacing in the ring.…”

Section: Introductionmentioning

confidence: 99%

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High-temperature Aharonov-Bohm effect in transport through a single-channel quantum ring

et al. 2015

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We overview transport properties of an Aharonov-Bohm interferometer made of a single channel quantum ring. Remarkably, in this setup, essentially quantum effects survive thermal averaging: the high temperature tunneling conductance G of a ring shows sharp dips (antiresonances) as a function of magnetic flux. We dis cuss effects of the electron-electron interaction, disorder, and spin-orbit coupling on the Aharonov-Bohm transport through the ring. The interaction splits the dip into series of dips broadened by dephasing. The physics behind this behavior is the persistent current blockade: the current through the ring is blocked by the circular current inside the ring. Dephasing is then dominated by tunneling induced fluctuations of the circu lar current. The short range disorder broadens antiresonances, while the long range one induces additional dips. In the presence of a spin-orbit coupling, G exhibits two types of sharp antiresonances: Aharonov-Bohm and Aharonov-Casher ones. In the vicinity of the antiresonances, the tunneling electrons acquire spin polar ization, so that the ring serves as a spin polarizer. Fig. 1. Single channel quantum ring and its energy levels.

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Section: Noninteracting Ring With Spin-orbit Couplingmentioning

confidence: 97%

“…(8). The expressions for the full transmis sion coefficient and the spin polarization become (35) where .…”

Section: Noninteracting Ring With Spin-orbit Couplingmentioning

confidence: 99%

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High-temperature Aharonov-Bohm effect in transport through a single-channel quantum ring

et al. 2015

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“…The peak arises each time when one of the field-dependent energy levels in the ring crosses the Fermi energy E F . Hence, the positions of the AB resonances depend on E F 21 (AB resonances are also affected by the Coulomb blockade 27,28 ). Based on this physical picture one could expect the suppression of the resonance structure at T ≫ ∆, where ∆ is the level spacing in the ring.…”

Section: 2mentioning

confidence: 99%

Aharonov-Bohm conductance of a disordered single-channel quantum ring

2013

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We study the effect of weak disorder on tunneling conductance of a single-channel quantum ring threaded by magnetic flux. We assume that temperature is higher than the level spacing in the ring and smaller than the Fermi energy. In the absence of disorder, the conductance shows sharp dips (antiresonances) as a function of magnetic flux. We discuss different types of disorder and find that the short-range disorder broadens antiresonances, while the long-range one leads to arising of additional resonant dips. We demonstrate that the resonant dips have essentially non-Lorentzian shape. The results are generalized to account for the spin-orbit interaction which leads to splitting of the disorder-broadened resonant dips, and consequently to coexisting of two types of oscillations (both having the form of sharp dips): Aharonov-Bohm oscillations with magnetic flux and AharonovCasher oscillations with the strength of the spin-orbit coupling. We also discuss the effect of the Zeeman coupling.

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“…The unique topographical structure of CNT nanorings has prompted significant interest in studying their various physical properties and applications. The electrical conductance transport in CNT rings has been investigated39–41 and their applications in electromagnetic devices, such as interferometer logic gates42 and transistors,43–45 have been proposed. Because CNTs are considered one of the strongest and most flexible molecular materials due to the hybridized sp 2 CC covalent bonding and seamless hexagonal network architecture, it is reasonable to speculate that CNT rings can be used as load‐bearing structural components for a number of applications, such as novel nanomechanical and nanoelectromechanical systems.…”

Section: Introductionmentioning

confidence: 99%

Elastic Deformation of Carbon‐Nanotube Nanorings

Zheng

2010

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A combined experimental-theoretical study of the mechanical deformation of carbon-nanotube (CNT) nanorings is presented. The CNT ring employed is formed by folding a long and thin single-walled-CNT bundle. The mechanical deformations of the CNT ring when it is pushed against and pulled away from a flat substrate are experimentally characterized in situ, inside a high-resolution scanning electron microscope through nanomanipulation. The experimental measurements clearly reveal that the CNT ring displays a purely elastic behavior during multiple repeated large-displacement deformation processes. A theoretical model based on nonlinear elastica theory is used to quantitatively study the mechanical behavior of the CNT ring and to interpret the experimental results. This work shows for the first time that van der Waals interactions between the CNT ring and the substrate have significant effects on the ring's elastic deformation, including a bifurcation in its force-displacement profile. The results suggest that CNT nanorings can be used as ultrasensitive force sensors and flexible and stretchable structural components in novel nanoscale mechanical and electromechanical systems.

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Linear conductance of an interacting carbon nanotube ring

Cited by 5 publications

References 37 publications

High-temperature Aharonov-Bohm effect in transport through a single-channel quantum ring

High-temperature Aharonov-Bohm effect in transport through a single-channel quantum ring

Aharonov-Bohm conductance of a disordered single-channel quantum ring

Elastic Deformation of Carbon‐Nanotube Nanorings

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