arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 1107.0153cond-mat.mes-hall
收藏

带隙石墨烯磁光性质的紧束缚研究

Tight-binding study of the magneto-optical properties of gapped graphene

Jesper Goor Pedersen, Thomas Garm Pedersen

摘要:

我们研究了带隙石墨烯在磁场作用下的光学性质。我们考虑一个模型的基础上的狄拉克方程,通过一个质量项,其中的对角线和霍尔光学电导率的解析表达式可以导出的间隙。讨论了质量项对电子-空穴对称性和$π$ - $π^*$对称性的影响及其对光学霍尔电导的影响。我们将这些结果与紧束缚模型进行了比较,紧束缚模型中的质量是通过交错势和磁场通过Peierls替换来模拟的。考虑反点晶格作为质量项的来源,我们专注于质量项占主导地位的回旋能量的限制。我们发现,一个大的间隙淬火的磁场的效果。相邻的$π$轨道之间的重叠的作用进行了研究,我们发现,重叠的光学霍尔电导率的狄拉克模型中错过了显着的后果。

英文摘要:

We study the optical properties of gapped graphene in presence of a magnetic field. We consider a model based on the Dirac equation, with a gap introduced via a mass term, for which analytical expressions for the diagonal and Hall optical conductivities can be derived. We discuss the effect of the mass term on electron-hole symmetry and $π$-$π^*$ symmetry and its implications for the optical Hall conductivity. We compare these results with those obtained using a tight-binding model, in which the mass is modeled via a staggered potential and a magnetic field is included via a Peierls substitution. Considering antidot lattices as the source of the mass term, we focus on the limit where the mass term dominates the cyclotron energy. We find that a large gap quenches the effect of the magnetic field. The role of overlap between neighboring $π$ orbitals is investigated, and we find that the overlap has pronounced consequences for the optical Hall conductivity that are missed in the Dirac model.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑