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Localized collective excitations in doped graphene in strong magnetic fields

机译：强磁场中掺杂石墨烯的局部集体激发

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摘要

We consider collective excitations in graphene with rilled Landau levels (LL's) in the presence of an external potential due to a single charged donor D~+ or acceptor A~- impurity. We show that localized collective modes split off the magnetoplasmon continuum and, in addition, quasibound states are formed within the continuum. A study of the evolution of the strengths and energies of magneto-optical transitions is performed for integer filling factors v= 1,2,3,4 of the lowest LL. We predict impurity absorption peaks above as well as below the cyclotron resonance. We find that the single-particle electron-hole symmetry of graphene leads to a duality between the spectra of collective modes for the D~+ and A~-. The duality shows up as a set of the D~+ and A~-magnetoabsorption peaks having the same energies but active in different circular polarizations.
机译：我们考虑到由于单个带电的施主D〜+或受体A〜-杂质而在外部电势存在的情况下，石墨烯中的朗道能级（LL's）出现了集体激发。我们表明，局部集体模式分裂了磁等离子体连续体，此外，在该连续体中形成了准结合态。对于最低LL的整数填充因子v = 1,2,3,4，进行了磁光跃迁强度和能量演化的研究。我们预测回旋共振上方和下方的杂质吸收峰。我们发现，石墨烯的单粒子电子-空穴对称性导致D〜+和A〜-的集体模态光谱之间的对偶。双重性表现为一组具有相同能量但在不同圆极化中具有活性的D〜+和A〜磁吸收峰。

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