波纹石墨烯中的带隙态和电荷不均匀性
Midgap states and charge inhomogeneities in corrugated graphene
摘要：
我们研究了有效规范场对石墨烯低能电子结构的影响。我们表明，零能量朗道能级将形成，与石墨烯层的平滑变形相关联，当高度ε，$h$，和波纹的长度，$l$，是这样的$h^2 / (l a) \gtrsim 1$，其中$a$是晶格常数。局域能级的存在导致零能量下的大的可压缩性，并增强了电子-电子相互作用（包括电子相分离）引起的不稳定性。波纹和外部磁场的组合效应打破了石墨烯的谷对称性，导致谷选择的可能性。
英文摘要：
We study the changes induced by the effective gauge field due to ripples on the low energy electronic structure of graphene. We show that zero energy Landau levels will form, associated to the smooth deformation of the graphene layer, when the height corrugation, $h$, and the length of the ripple, $l$, are such that $h^2 / (l a) \gtrsim 1$, where $a$ is the lattice constant. The existence of localized levels gives rise to a large compressibility at zero energy, and to the enhancement of instabilities arising from electron-electron interactions including electronic phase separation. The combined effect of the ripples and an external magnetic field breaks the valley symmetry of graphene leading to the possibility of valley selection.
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