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 in amplitude, the center of the Gaussian wave packet, characterized by the initial momentum κ₀ and angle θ₀, must be at θ₀ = 0 for EDPs located at zero-energy, or θ₀ = π/2 for both ODP and EDPs at finite energy. By varying the potential height $\mathbb{V}$, the distance q₂ of central region of an unit cell, κ₀ and θ₀, it is found that the frequency of the ZB oscillations is in the range [10⁷ Hz, 10¹³ 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.

在石墨烯中研究了Zitterbewegung（ZB）效应，该石墨烯具有在原始Dirac点（ODP）和额外Dirac点（EDP）附近的空间调制电位。我们的计算表明，以获得大ZB振荡振幅，高斯波包的中心，其特征在于所述初始动量κ ₀和角度θ ₀，必须是在θ ₀  = 0对于位于零能量，或EDP​​S θ对于ODP和EDP，在有限能量下均为₀  =  π / 2。通过改变潜在的高度$\mathbb{V}$时，距离q ₂，一个单元电池的中央区域的，κ ₀和θ ₀，它被发现ZB振荡的频率的范围是[10 ⁷ 赫兹，10 ¹³ 赫兹]取决于产生什么EDP的类型振幅达到数百埃，但衰减变得非常慢。对频率的更多分析显示了在我们的系统中通过实验实现ZB效果的可能性。