论文标题
石墨烯中的Zitterbewegung效应具有空间调制电势
Zitterbewegung Effect in Graphene with Spacially Modulated Potential
论文作者
论文摘要
Zitterbewegung（ZB）效应在石墨烯中研究了原始狄拉克点（ODP）和额外的狄拉克点（EDP）附近的空间调节电位。我们的计算表明，要获得大型的ZB振荡，波数据包中心必须在零能量的EDP的角度$θ_0= 0 $，或ODP和EDP的$θ_0=π/2 $，在有限能量$ \ \ varepsilon =mπ$（$ m $ integer）上。通过改变高斯波数据包的定期潜力的参数（$ q_2，\ q_2，\ mathbb {v} $）和初始动量（$κ__0，θ_0$）的初始动量（$κ__0，θ_0$），发现ZB振荡的频率在范围内$ [10^{7} {7}〜} $ text $ {产生EDP的类型，幅度达到数百埃，但它们的衰减变得非常慢。对频率的更多分析显示了实验实现我们系统中ZB效应的可能性。
The Zitterbewegung (ZB) effect is investigated in graphene with spacially modulated potential near the original Dirac point (ODP) and extra Dirac points (EDPs). Our calculations show that to get the large ZB oscillations, the wave packet center must be at the angle $θ_0=0$ for EDPs located at zero-energy, or $θ_0=π/2$ for both ODP and EDPs at finite energy $\varepsilon=mπ$ ($m$ integer). By varying the parameters ($q_2, \mathbb{V}$) of the periodic potential and the initial momentum ($κ_0, θ_0$) of Gaussian wave packet, it is found that the frequency of the ZB oscillations is in the range $[10^{7}~\text{Hz}, 10^{13}~\text{Hz}$] depending on what type of EDP is generated and the amplitude reaches hundreds of angstroms but their attenuation becomes very slow. More analysis of the frequency shows the possibilities in experimentally realizing the ZB effect in our system.
