论文标题

石墨烯片的变形:费米与声子的相互作用

Deformation of graphene sheet: Interaction of fermions with phonons

论文作者

Sedrakyan, Ara, Sinner, Andreas, Ziegler, Klaus

论文摘要

我们构建了一种有效的低能哈密顿量,它描述了居住在变形的蜂窝晶格上的费米子,并具有脱位和脱节,并具有相应的紧密结合模型的任意跳跃参数。它描述了费米与2D重力的相互作用,还具有局部旋转组的局部SU(2)量规不变性。我们将模型与晶格的变形的相互作用重新制定为形成声子场的晶格的变形。我们计算Fermion电流对外部变形或声子场的响应,这是Z_2异常的结果。这可以通过实验检测到。

We construct an effective low energy Hamiltonian which describes fermions dwelling on a deformed honeycomb lattice with dislocations and disclinations, and with an arbitrary hopping parameters of the corresponding tight binding model. It describes the interaction of fermions with a 2d gravity and has also a local SU(2) gauge invariance of the group of rotations. We reformulate the model as interaction of fermions with the deformation of the lattice, which forms a phonon field. We calculate the response of fermion currents to the external deformation or phonon field, which is a result of a Z_2 anomaly. This can be detected experimentally.

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