Quantum interference effect in the nonlinear conductance of metallic single-wall nanotubes

Namiranian, A.

doi:10.1103/physrevb.70.073402

Cited by 10 publications

(10 citation statements)

References 14 publications

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“…In this work, we have developed a toy model presented in [31] to a more realistic one so as to investigate the electron scattering processes in MSWCNTs. More precisely, this paper addresses the following: how the band structure of an MSWCNT affects the QI induced by electronic waves scattered by not-charged substitutional impurities.…”

Section: Introductionmentioning

confidence: 99%

Effects of band structure and quantum interference on the differential conductance of infinite metallic single-wall carbon nanotubes

Bagheri¹,

Namiranian²

2007

J. Phys.: Condens. Matter

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Using a π-orbital tight-binding (TB) model within a perturbative formalism, the effects of substitutional impurities on the conductance of infinite metallic single-wall carbon nanotubes (MSWCNTs) are studied. The perturbative scheme is based on the energy dissipation of electrons travelling through the nanotube. A general expression for the differential conductance (DC) is presented, and scattering processes are investigated. It is demonstrated how the DC depends sensitively on the nature of the electronic band structure and velocity of carriers moving in the nanotube. We have shown that the quantum interference (QI) of electronic waves scattered by impurities plays a meaningful role. In particular, for the case of a couple of impurities the DC exhibits periodic oscillations comprising both positive and negative values. The negative differential conductance (NDC) stemming from the QI and rotational symmetry selection rule is very sensitive to the relative distance and symmetry of two impurities. This signature is absent for the case of a single impurity. In fact, the NDC can be attributed to the zero-temperature/elastic weak-localization correction to the conductance. As a result, the faster/higher and slower/shorter oscillations can then effectively be achieved by metallic zigzag and armchair nanotubes, respectively. A corrigendum for this article has been published in 2007 J. Phys.: Condens. Matter 19 469001

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Section: Introductionmentioning

confidence: 99%

Effects of band structure and quantum interference on the differential conductance of infinite metallic single-wall carbon nanotubes

Bagheri¹,

Namiranian²

2007

J. Phys.: Condens. Matter

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“…In order to neglect the effect of the open ends of the nanotubes on the electrical resistance, we assume that the nanotube length is much longer than its diameter. Under this approximation, the electrical field inside the tube and far from its two ends is negligible and the energy of passing electron depends only on the sign of the electron velocity along the contact axis [13,14]. In this work, using second quantized representation for Hamiltonian, the total Hamiltonian of the entire system can be described in a general form, as follows:…”

Section: The Modelmentioning

confidence: 98%

“…Thus, the change in the electric current due to the presence of electron-phonon interaction can be determined as [14,20]: Finally change of electrical current is represented by:…”

Section: The Modelmentioning

confidence: 99%

Differential conductance of armchair single-wall carbon nanotubes due to presence of electron–phonon interaction

Tajik

Namiranian

2016

Physica E: Low-dimensional Systems and Nanostructures

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“…In the following, we investigate the influence of e−ph coupling on the changes of current in the central part of a nanotube. The total Hamiltonian of the system can be described by 46,47…”

Section: Conductance Calculationmentioning

confidence: 99%

Effect of electron-RBM phonon interaction on conductance of metallic zigzag carbon nanotubes

Taj¹,

Namiranian²

2018

Physica E: Low-dimensional Systems and Nanostructures

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We use the energy analysis as a perturbative method to study the effect of electron-radial breathing mode (RBM) phonon interaction on the electrical conductance of long metallic zigzag carbon nanotubes (CNTs). The band structure of zigzag CNTs is calculated by exerting zone-folding method on relations derived by using the nearest neighbor approximation of tight-binding expression for the π bands of graphene. The small hollow cylinder model, with two different approximations, is used to obtain the RBM frequency in our calculation. As the result, we have calculated the effects of electron−RBM phonon interaction on the conductance of zigzag CNTs. It has been observed that current is a step−like function of bias voltage due to the absorption or emission by electron injection in the system. Moreover, the dependence of the conductance to the temperature in low bias and high bias voltages has been studied. In this paper, we propose a simple and useful method for phonon spectroscopy. Also, since RBM mode determines the geometry and structure of CNT, this approach can be used for characterization of CNTs.

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Quantum interference effect in the nonlinear conductance of metallic single-wall nanotubes

Cited by 10 publications

References 14 publications

Effects of band structure and quantum interference on the differential conductance of infinite metallic single-wall carbon nanotubes

Effects of band structure and quantum interference on the differential conductance of infinite metallic single-wall carbon nanotubes

Differential conductance of armchair single-wall carbon nanotubes due to presence of electron–phonon interaction

Effect of electron-RBM phonon interaction on conductance of metallic zigzag carbon nanotubes

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