Nonlinear conductivity of single-walled zigzag carbon nanotubes

Белоненко, М. Б.; Glazov, S. Yu.; Meshcheryakova, N. E.

doi:10.3103/s1062873809120120

Cited by 9 publications

(5 citation statements)

References 4 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The dimensionless frequency Ω of internal oscillations of the initial pulse (18) was varied in interval Ω ∈ (0.1; 0.9). As Ω decreases, the width of the pulse along the the ζ-axis decreases too, the shape variation being insignificant at Ω < 0.5.…”

Section: B System's Parametersmentioning

confidence: 99%

See 1 more Smart Citation

External light control of three-dimensional ultrashort far-infrared pulses in an inhomogeneous array of carbon nanotubes

Fedorov,

Zhukov,

Bouffanais

et al. 2021

Preprint

View full text Add to dashboard Cite

We present a study of the propagation of three-dimensional (3D) bipolar electromagnetic ultrashort pulses in an inhomogeneous array of semiconductor carbon nanotubes (CNTs) in the presence of a control high-frequency (HF) electric field. The inhomogeneity is present in the form of a layer with an increased concentration of conduction electrons, which acts as a barrier for the propagation of ultrashort electromagnetic pulses through the CNT array. The dynamics of the pulse is described by a nonlinear equation for the vector potential of the electromagnetic field (it takes the form of a 3D generalization of the sine-Gordon equation), derived from the Maxwell's equations and averaged over the period of the HF control field. By means of systematic simulations, we demonstrate that, depending on the amplitude and frequency of the HF control, the ultrashort pulse approaching the barrier layer either passes it or bounces back. The layer's transmissivity for the incident pulse is significantly affected by the amplitude and frequency of the HF control field, with the reflection coefficient nearly vanishing in intervals that make up a discrete set of transparency windows, which resembles the effect of the electromagnetically-induced transparency.Having passed the barrier, the ultrashort pulse continues to propagate, keeping its spatiotemporal integrity. The results may be used for the design of soliton valves, with the transmissivity of the soliton stream accurately controlled by the HF field.

show abstract

Section: B System's Parametersmentioning

confidence: 99%

“…e.g., Ref. [18]). This circumstance makes it possible to observe a number of unique physical phenomena in nanotube media, including nonlinear diffraction, self-focusing of laser beams, propagation of solitons, etc.…”

Section: Introductionmentioning

confidence: 99%

External light control of three-dimensional ultrashort far-infrared pulses in an inhomogeneous array of carbon nanotubes

Fedorov,

Zhukov,

Bouffanais

et al. 2021

Preprint

View full text Add to dashboard Cite

show abstract

“…The non-parabolicity of the dispersion law for the conduction electrons of nanotubes [1][2][3] (i.e. the energy dependency on the quasi-momentum) determines the essential nonlinearity of their response to the action of the electromagnetic field [4]. This circumstance provides the principal possibility of observing various unique electromagnetic phenomena in structures based on carbon nanotubes, including nonlinear diffraction and self-focusing of laser beams [5,6].…”

Section: Introductionmentioning

confidence: 99%

“…the electromagnetic field [4]. This circumstance provides the principal possibility of observing various unique electromagnetic phenomena in structures based on carbon nanotubes, including nonlinear diffraction and self-focusing of laser beams [5,6].…”

mentioning

confidence: 99%

Asymptotic dynamics of three-dimensional bipolar ultrashort electromagnetic pulses in an array of semiconductor carbon nanotubes

Fedorov¹,

Жуков²,

Bouffanais³

et al. 2019

Opt. Express

View full text Add to dashboard Cite

We study the propagation of three-dimensional bipolar ultrashort electromagnetic pulses in an array of semiconductor carbon nanotubes at times much longer than the pulse duration, yet still shorter than the relaxation time in the system. The interaction of the electromagnetic field with the electronic subsystem of the medium is described by means of Maxwell's equations, taking into account the field inhomogeneity along the nanotube axis beyond the approximation of slowly varying amplitudes and phases. A model is proposed for the analysis of the dynamics of an electromagnetic pulse in the form of an effective equation for the vector potential of the field. Our numerical analysis demonstrates the possibility of a satisfactory description of the evolution of the pulse field at large times by means of a three-dimensional generalization of the sine-Gordon and double sine-Gordon equations.

show abstract

“…[8,9]) are manifestations of a number of nonlinear electrodynamic properties similar to those in semiconductors with a superstructure, for instance, in quantum semiconductor superlattices [11,12]. Non-quadratic electron dispersion suggests a possibility of realization (in electric fields of moderate strength ∼ 10 3 -10 5 V/cm) of diverse nonlinear phenomena, such as nonlinear and absolute negative conductivity [13,14], phase transitions of the first kind induced by the applied external field [14], nonlinear diffraction and self-focusing of laser beams [15,16], electromagnetic solitary waves [17], etc.…”

Section: Introductionmentioning

confidence: 99%

Collisions of three-dimensional bipolar optical solitons in an array of carbon nanotubes

Zhukov,

Bouffanais,

Malomed

et al. 2016

Preprint

View full text Add to dashboard Cite

We study interactions of extremely short three-dimensional bipolar electromagnetic pulses propagating towards each other in an array of semiconductor carbon nanotubes, along any direction perpendicular to their axes. The analysis provides a full account of the effects of the nonuniformity of the pulses' fields along the axes. The evolution of the electromagnetic field and charge density in the sample is derived from the Maxwell's equations and the continuity equation, respectively. In particular, we focus on indirect interaction of the pulses via the action of their fields on the electronic subsystem of the nanotube array. Changes in the shape of pulses in the course of their propagation and interaction are analyzed by calculating and visualizing the distribution of the electric field in the system. The numerical analysis reveals a possibility of stable post-collision propagation of pulses over distances much greater than their sizes.

show abstract

Nonlinear conductivity of single-walled zigzag carbon nanotubes

Cited by 9 publications

References 4 publications

External light control of three-dimensional ultrashort far-infrared pulses in an inhomogeneous array of carbon nanotubes

External light control of three-dimensional ultrashort far-infrared pulses in an inhomogeneous array of carbon nanotubes

Asymptotic dynamics of three-dimensional bipolar ultrashort electromagnetic pulses in an array of semiconductor carbon nanotubes

Collisions of three-dimensional bipolar optical solitons in an array of carbon nanotubes

Contact Info

Product

Resources

About