▎ 摘 要
The Zitterbewegung (ZB) effect is investigated in graphene with spacially modulated potential near the original Dirac point (OOP) and extra Dirac points (EOPs). Our calculations show that to get the large ZB oscillations in amplitude, the center of the Gaussian wave packet, characterized by the initial momentum kappa(0) and angle theta(0), must be at theta(0) = 0 for EOPs located at zero-energy, or theta(0) = pi/2 for both OOP and EOPs at finite energy. By varying the potential height V, the distance q(2) of central region of an unit cell, kappa(0) and theta(0), it is found that the frequency of the ZB oscillations is in the range [10(7) Hz, 10(13) 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.