论文标题
二维材料厚度和周围介电介质对库仑相互作用和激子的影响
Effects of Two-Dimensional Material Thickness and Surrounding Dielectric Medium on Coulomb Interactions and Excitons
论文作者
论文摘要
我们检查了量子限制对溶液中二维半导体纳米片中两个电荷之间相互作用势的影响。由此产生的有效电位取决于两个长度的尺度，即厚度$ d $和出现的长度比例$ d^* \equivεd /ε_ {\ text {sol}} $，其中$ε$是纳米片的介绍性和$ε_{\ε_{\ fext {sol}} $ sol sol sol的率。尤其是，量子限制而非静电剂是导致小于$ d $的有效分离潜力的对数行为，而不是单距离距离的散装库仑相互作用。最后，我们证实了激子的结合能也取决于二维激烈的bohr半径$ a_0 $，除了长度尺度$ d $ $ d $和$ d^*$，并分析了这种依赖性的后果。
We examine the impact of quantum confinement on the interaction potential between two charges in two-dimensional semiconductor nanosheets in solution. The resulting effective potential depends on two length scales, namely the thickness $d$ and an emergent length scale $d^* \equiv εd / ε_{\text{sol}}$, where $ε$ is the permittivity of the nanosheet and $ε_{\text{sol}}$ is the permittivity of the solvent. In particular, quantum confinement, and not electrostatics, is responsible for the logarithmic behavior of the effective potential for separations smaller than $d$, instead of the one-over-distance bulk Coulomb interaction. Finally, we corroborate that the exciton binding energy also depends on the two-dimensional exciton Bohr radius $a_0$ in addition to the length scales $d$ and $d^*$ and analyze the consequences of this dependence.
