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arXiv 1607.01667cond-mat.mes-hall
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色散律极值环二维材料中的反常屏蔽

Anomalous screening in two-dimensional materials with an extremum ring in the dispersion law

Eugene B. Kolomeisky, Joseph P. Straley

摘要:

各种二维材料具有能带结构,其能量极值脊沿着动量空间中的环。例子是偏置的双层石墨烯,以及具有Rashba自旋轨道相互作用的表面和界面,其中在低掺杂下,载流子填充环形。这种拓扑特征导致了一种反常的屏蔽行为,我们用量子力学的费米理论对此进行了研究。具体地说,减少掺杂的预测,以提高线性屏蔽响应,而在零掺杂的库仑杂质周围的屏蔽云的大小被发现增加的杂质电荷的立方根。

英文摘要:

A variety of two-dimensional materials possess a band structure with an energy extremal ridge along a ring in momentum space. Examples are biased bilayer graphene, and surfaces and interfaces with a Rashba spin-orbit interaction where at low doping the carriers fill an annulus. This topological feature causes an anomalous screening behavior, which we study using the Thomas-Fermi theory. Specifically, reducing the doping is predicted to enhance the linear screening response, while at zero doping the size of the screening cloud surrounding a Coulomb impurity is found to increase as the cube root of the impurity charge.

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