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arXiv 0810.0419cond-mat.mes-hall
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石墨烯量子点的束缚态和磁场诱导的谷分裂

Bound states and magnetic field-induced valley splitting in gate-tunable graphene quantum dots

Patrik Recher, Johan Nilsson, Guido Burkard, Bjoern Trauzettel

摘要:

基于Dirac方程,研究了静电门带隙单层和双层石墨烯量子点的能级与磁场的关系.由于在这些类型的QD中没有尖锐边缘,谷自由度是良好的量子数。我们表明,它的简并性是有效的,可控地打破了垂直于石墨烯平面施加的磁场。这为在石墨烯量子点中创建定义良好且控制良好的自旋和谷量子位开辟了一条可行的路线。我们还指出了单层和双层石墨烯量子点之间的光谱的相似性和差异。在双层石墨烯的情况下引人注目的是穿过间隙的异常体朗道能级(LL),这导致在大磁场下QD态与该体LL的交叉,这与不存在该LL的单层情况形成鲜明对比。在双层的情况下的间隙的可调性,使我们能够观察到直接相关的形成一个明显的“墨西哥帽”在散装能带结构的不同制度的水平间距。我们讨论了这种量子点的适用性,以控制和测量的谷同位旋和他们的潜在用途托管和控制自旋量子比特。

英文摘要:

The magnetic field dependence of energy levels in gapped single- and bilayer graphene quantum dots (QDs) defined by electrostatic gates is studied analytically in terms of the Dirac equation. Due to the absence of sharp edges in these types of QDs, the valley degree of freedom is a good quantum number. We show that its degeneracy is efficiently and controllably broken by a magnetic field applied perpendicular to the graphene plane. This opens up a feasible route to create well-defined and well controlled spin- and valley-qubits in graphene QDs. We also point out the similarities and differences in the spectrum between single- and bilayer graphene quantum dots. Striking in the case of bilayer graphene is the anomalous bulk Landau level (LL) that crosses the gap which results in crossings of QD states with this bulk LL at large magnetic fields in stark contrast to the single-layer case where this LL is absent. The tunability of the gap in the bilayer case allows us to observe different regimes of level spacings directly related to the formation of a pronounced ``Mexican hat'' in the bulk bandstructure. We discuss the applicability of such QDs to control and measure the valley isospin and their potential use for hosting and controlling spin qubits.

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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