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arXiv 1407.4441cond-mat.mes-hall
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屈曲Dirac材料中分数量子Hall态的可调谐性

Tunability of the Fractional Quantum Hall States in Buckled Dirac Materials

Vadym M. Apalkov, Tapash Chakraborty

摘要:

我们报告的分数量子霍尔状态的锗烯和硅烯,人们预计一个强大的自旋轨道相互作用。这种相互作用导致对应于系统的价带的朗道能级之一中的电子-电子相互作用强度的增强。这种增强表现为与石墨烯相比分数量子霍尔效应带隙的增加,并且是由于导带和价带的朗道能级的自旋轨道诱导耦合,其修改了相应的波函数和单个能级内的相互作用。由于该结构的存在,垂直电场提高了导带朗道能级的简并度,并强烈地改变了导带朗道能级的相互作用:在一个谷中,垂直电场增强了导带朗道能级的相互作用强度,而在另一个谷中,垂直电场强烈地抑制了导带朗道能级的相互作用。

英文摘要:

We report on the fractional quantum Hall states of germanene and silicene where one expects a strong spin-orbit interaction. This interaction causes an enhancement of the electron-electron interaction strength in one of the Landau levels corresponding to the valence band of the system. This enhancement manifests itself as an increase of the fractional quantum Hall effect gaps compared to that in graphene and is due to the spin-orbit induced coupling of the Landau levels of the conduction and valence bands, which modifies the corresponding wave functions and the interaction within a single level. Due to the buckled structure, a perpendicular electric field lifts the valley degeneracy and strongly modifies the interaction effects within a single Landau level: in one valley the perpendicular electric field enhances the interaction strength in the conduction band Landau level, while in another valley, the electric field strongly suppresses the interaction effects.

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。

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