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arXiv 2103.03148cond-mat.mes-hall
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带隙石墨烯中替代谷霍尔效应的轨道霍尔效应

Orbital Hall effect as an alternative to valley Hall effect in gapped graphene

Sayantika Bhowal, Giovanni Vignale

摘要:

已提出带间隙的石墨烯是观察谷霍尔效应的良好平台,谷霍尔效应是一种涉及电子流动的传输现象,其特征在于不同的谷指数。在目前的工作中,我们表明,这种现象是更好地描述为一个实例的轨道霍尔效应,其中模糊的“谷”指数被替换为一个物理量,轨道磁矩,它可以被定义为均匀的整个布里渊区。这种描述消除了谷霍尔电导率中谷限制积分的任意截止选择的任意性,因为轨道霍尔效应中的电导率现在被定义为一个新量的布里渊区积分,称为轨道贝里曲率。这方面的OHE重新提供了直接的解释,在样品的边缘,在以前的克尔旋转测量观察到的积累相反的轨道时刻。

英文摘要:

Gapped graphene has been proposed to be a good platform to observe the valley Hall effect, a transport phenomenon involving the flow of electrons that are characterized by different valley indices. In the present work, we show that this phenomenon is better described as an instance of the orbital Hall effect, where the ambiguous "valley" indices are replaced by a physical quantity, the orbital magnetic moment, which can be defined uniformly over the entire Brillouin zone. This description removes the arbitrariness in the choice of arbitrary cut-off for the valley-restricted integrals in the valley Hall conductivity, as the conductivity in the orbital Hall effect is now defined as the Brillouin zone integral of a new quantity, called the orbital Berry curvature. This reformulation in terms of OHE provides the direct explanation to the accumulated opposite orbital moments at the edges of the sample, observed in previous Kerr rotation measurements.

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