arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 1702.00862cond-mat.mes-hall
收藏

石墨烯霍尔条中的量子输运:侧栅效应

Quantum transport in graphene Hall bars: Effects of side gates

M. D. Petrović, F. M. Peeters

摘要:

研究了量子化外磁场作用下,侧栅石墨烯霍尔条中的量子电子输运.四个侧门的不对称势扭曲了相对论朗道能级的平坦能带,并在朗道谱中产生新的传播态(即蛇态)。这些新的状态的存在导致弯曲和霍尔电阻的一个有趣的修改,与新的量化高原出现在朗道水平附近。通过研究入射模和出射模的电流密度分布,可以理解该系统中的电子导引。从引导电子完全传输而没有任何反向散射(类似于边缘状态)的事实,我们能够分析预测量子化电阻的值,并且它们与我们用数值(紧束缚)方法获得的电阻数据相匹配。这些见解在电子引导将是有用的,在预测其他侧栅配置的电阻,并可能在其他系统的几何形状,只要有没有反向散射的引导状态。

英文摘要:

Quantum electron transport in side-gated graphene Hall bars is investigated in the presence of quantizing external magnetic fields. The asymmetric potential of four side-gates distorts the otherwise flat bands of the relativistic Landau levels, and creates new propagating states in the Landau spectrum (i.e. snake states). The existence of these new states leads to an interesting modification of the bend and Hall resistances, with new quantizing plateaus appearing in close proximity of the Landau levels. The electron guiding in this system can be understood by studying the current density profiles of the incoming and outgoing modes. From the fact that guided electrons fully transmit without any backscattering (similarly to edge states), we are able to analytically predict the values of quantized resistances, and they match the resistance data we obtain with our numerical (tight-binding) method. These insights in the electron guiding will be useful in predicting the resistances for other side-gate configurations, and possibly in other system geometries, as long as there is no backscattering of the guided states.

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。

↑