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首页> 外文期刊>Journal of Computational Electronics >Time evolution of current density in conducting single-walled carbon nanotubes
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Time evolution of current density in conducting single-walled carbon nanotubes

机译：导电单壁碳纳米管中电流密度的时间演化

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In the present work, we study the trembling motion known as Zitterbewegung in a conducting single-walled carbon nanotube by using the long-wave approximation. The Heisenberg representation is used to derive an analytical expression for the current density operator along the axial and spiral direction, which describes the current induced by the motion of the electronic wave packet in the carbon nanotubes. We have considered a number of parameters to describe the Gaussian wave packet, such as: the values of the initial pseudo-spin polarization, the initial carrier wave vector and the width of the localized packet along the axial and spiral coordinates. As a result, we show that the oscillation in current density can be controlled not only by the initial parameters of the wave packet, but mainly by choosing the up and low components of the localized quantum state. The analysis of the interference between the conduction and valence bands of quantum states is emphasized as the possibility of the emergence of the transient or aperiodic temporal oscillations in the average value for the current density in the conducting single-walled carbon nanotubes.
机译：在当前的工作中，我们通过使用长波逼近来研究被称为Zitterbewegung的颤动运动，该颤动在导电的单壁碳纳米管中发生。海森堡表示法用于导出沿轴向和螺旋方向的电流密度算符的解析表达式，该表达式描述了由碳纳米管中电子波包的运动引起的电流。我们已经考虑了许多参数来描述高斯波包，例如：初始伪自旋极化的值，初始载波矢量以及沿轴向和螺旋坐标的局部包的宽度。结果表明，不仅可以通过波包的初始参数来控制电流密度的振荡，而且还可以主要通过选择局部量子态的上下分量来控制电流密度的振荡。强调分析量子态的导带和价带之间的干扰，因为导电单壁碳纳米管中电流密度的平均值中可能会出现瞬时或非周期性的时间振荡。

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