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arXiv 1507.00404cond-mat.mtrl-sci
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钙钛矿结构CH $_3$ NH $_3$ PbI $_3$中的非类氢激子

Non-hydrogenic excitons in perovskite CH$_3$NH$_3$PbI$_3$

E. Menéndez-Proupin, Carlos L. Beltrán Ríos, P. Wahnón

摘要:

采用有效质量近似方法研究了钙钛矿型化合物CH $_3$ NH $_3$ PbI $_3$正交相中的激子。电子-空穴相互作用被距离依赖的介电函数屏蔽,如Haken势或Pollmann-Büttner势所描述。计算了这两种情况下的能谱和本征函数。的有效质量,低和高频率的介电常数,和带间吸收矩阵元素,从广义密度泛函理论计算得到。结果表明,Pollmann-Büttner模型与实验结果吻合较好。激子光谱的离散部分由具有24 meV的结合能的基本状态和从未结合激子连续体开始的2 meV内的更高状态组成。光吸收主要由具有0.013的振子强度的基本线,其次是激子连续谱。计算过程中不需要对实验数据进行任何拟合,计算结果与最近的实验结果吻合较好。

英文摘要:

The excitons in the orthorhombic phase of the perovskite CH$_3$NH$_3$PbI$_3$ are studied using the effective mass approximation. The electron-hole interaction is screened by a distance-dependent dielectric function, as described by the Haken potential or the Pollmann-Büttner potential. The energy spectrum and the eigenfunctions are calculated for both cases. The effective masses, the low and high frequency dielectric constants, and the interband absorption matrix elements, are obtained from generalized density functional theory calculations. The results show that the Pollmann-Büttner model provides better agreement with the experimental results. The discrete part of the exciton spectrum is composed of a fundamental state with a binding energy of 24 meV, and higher states that are within 2 meV from the onset the unbound exciton continuum. Light absorption is dominated by the fundamental line with an oscillator strength of 0.013, followed by the exciton continuum. The calculations have been performed without fitting any parameter from experiments and are in close agreement with recent experimental results.

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