Abstract

A generic tight-binding model for 2p_z electrons in bilayer graphene (BLG) systems is used to derive the expression of effective Hamiltonians for low-energy states around the K-points of hexagonal Brillouin zone. The obtained effective Hamiltonians are validated for two kinds of AA-like and AB-like slid bilayer graphene (SBG). It is shown that, for the former case, the electronic structure is characterized by a gauge vector field which couples to the sliding vector to deform the band structure of the AA-stacked configuration as a perturbation. For the latter case, since the A–B interlayer coupling is the most dominant, it allows separating the energy bands and lowering the 4 × 4 Hamiltonian into a 2 × 2 effective model. A gauge vector field also appears, but different from the AA-like SBGs, it plays the role similar to an in-plane magnetic field.

Graphical abstract

中文翻译：

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滑动双层石墨烯的电子性能：低能量范围内的有效模型

摘要

2 p _z的通用紧约束模型双层石墨烯（BLG）系统中的电子用于导出六边形布里渊区K点附近的低能态的有效哈密顿量表示。对于两种类AA和类AB滑动双层石墨烯（SBG）验证了获得的有效哈密顿量。结果表明，在前一种情况下，电子结构的特征是轨距矢量场，该轨距矢量场耦合到滑动矢量，从而使AA堆叠结构的能带结构发生微扰。对于后一种情况，由于A–B层间耦合是最主要的，因此它允许分离能带并将4×4哈密顿量降低为2×2有效模型。量规矢量场也出现了，但不同于类AA的SBG，它的作用类似于面内磁场。

图形概要