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arXiv 1610.04053cond-mat.mes-hall
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单层石墨烯中的电荷弛豫:快速非线性扩散与库仑效应

Relaxation of charge in monolayer graphene: fast non-linear diffusion vs Coulomb effects

Eugene B. Kolomeisky, Joseph P. Straley

摘要:

原始单层石墨烯表现出非常差的屏蔽,因为态密度在狄拉克点处消失。因此,电荷弛豫在很宽的参数范围内受零点运动的影响(而不是库仑相互作用)控制。结合石墨烯具有有限的固有电导率的事实,这导致由具有在零电荷密度处发散的扩散系数的非线性扩散方程描述的弛豫状态。这种快速扩散的一些后果是自相似的超扩散制度的松弛,在电子和空穴丰富的区域之间的界面处的电荷耗尽区域的发展,和有限的消光时间为周期性的电荷分布。

英文摘要:

Pristine monolayer graphene exhibits very poor screening because the density of states vanishes at the Dirac point. As a result, charge relaxation is controlled by the effects of zero-point motion (rather than by the Coulomb interaction) over a wide range of parameters. Combined with the fact that graphene possesses finite intrinsic conductivity, this leads to a regime of relaxation described by a non-linear diffusion equation with a diffusion coefficient that diverges at zero charge density. Some consequences of this fast diffusion are self-similar superdiffusive regimes of relaxation, the development of a charge depleted region at the interface between electron- and hole-rich regions, and finite extinction times for periodic charge profiles.

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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