Kinks and antikinks of the classical ${\phi }^4$ field model are topological solutions connecting its two distinct ground states. Here we establish an analogy between the excitations of a long graphene nanoribbon buckled in the transverse direction and ${\phi }^4$ model results. Using molecular dynamics simulations, we investigated the dynamics of a buckled graphene nanoribbon with a single kink and with a kink-antikink pair. Several features of the ${\phi }^4$ model have been observed including the kink-antikink capture at low energies, kink-antikink reflection at high energies, and a bounce resonance. Our results pave the way towards the experimental observation of a rich variety of ${\phi }^4$ model predictions based on graphene.

中文翻译：

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屈曲石墨烯的纽结和反纽结：φ4场模型的试验场

古典的纠结和反纠结 ${\phi }^4$现场模型是连接其两个不同基态的拓扑解决方案。在这里，我们建立了一个在横向弯曲的长石墨烯纳米带的激发之间的类比。${\phi }^4$模型结果。使用分子动力学模拟，我们研究了具有单个扭结和一对扭结-抗扭结对的带扣石墨烯纳米带的动力学。的几个特点${\phi }^4$观察到的模型包括低能量的扭结-抗扭结捕获，高能量的扭结-抗扭结反射和反弹共振。我们的结果为实验观察多种多样的方法铺平了道路。${\phi }^4$ 基于石墨烯的模型预测。