论文标题

低温高频单层石墨烯电导率作为Zitterbewegung的表现

Low temperature high-frequency monolayer graphene conductivity as a manifestation of Zitterbewegung

论文作者

Firsova, Natalie E., Ktitorov, Sergey A.

论文摘要

我们将单层石墨烯中狄拉克电子的Zitterbewegung视为E.Schrödinger对自由空间中相对论电子预测的现象的非派系性类似物。因此,我们证明了单层石墨烯的狄拉克电子振荡烯,即,在平均值周围的电子位置的快速波动以相当高的频率而言,但远小于自由空间中的相对论电子。我们还研究了由费米 - 迪拉克分布形成的电导率电子波数据包的Zitterbewegung与单层石墨烯的高频复合电导率形成的。因此,我们发现单层石墨烯的电磁共振性能可以通过等效振荡电路进行模拟。这对于赋予电磁过程的说明是有用的,这对于将石墨烯掺入电子系统尤为重要。

We consider the Zitterbewegung of Dirac electrons in the monolayer graphene as the nonrelativistic analog of the phenomenon predicted by E. Schrödinger for the relativistic electrons in the free space. So we show that the Dirac electrons of monolayer graphene oscillate, i.e. produce fast fluctuation of an electron position around the mean value with rather high frequency but much less than the relativistic electrons in the free space. We also study relation between the Zitterbewegung of the conductivity electrons wave packet formed by the Fermi-Dirac distribution and the high-frequency complex conductivity of the monolayer graphene. Thus we find that the electromagnetic resonance properties of the monolayer graphene can be simulated by the set of the equivalent oscillatory circuits. This is useful in order to impart illustrativeness to electromagnetic processes that is particularly important for incorporation of graphene into electronic systems.

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