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arXiv 1004.2387cond-mat.mtrl-sci
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计算超低维晶体光学性质的精确微观理论方法

Exact Microtheoretical Approach to Calculation of Optical Properties of Ultralow Dimensional Crystals

Jovan P. Šetrajčić

摘要:

强约束结构理论分析中的主要问题是,标准的数学工具:微分方程和傅立叶变换不再适用。在本文中,我们已经证明,格林函数的方法可以成功地用于低维晶体样品,由于量子尺寸效应。我们可以通过主要的立方结构分子晶体:体相和非晶膜来说明修正模型。我们的分析从标准激子哈密顿量开始,定义了交换格林函数和运动方程。给出了计算格林函数的详细过程,并进一步计算了体样品的色散规律、态分布和相对介电常数。在此之后,我们已经遵循相同的程序,以获得激子在超薄膜的属性。结果已用图表表示。除了修正的格林函数方法外,我们还证明了激子能谱在薄膜结构中是离散的(能级数等于薄膜的原子平面数)。与体结构相比,薄膜结构具有连续的吸收区,存在共振吸收峰。随着薄膜厚度的增加,本体和薄膜之间的差异消失。

英文摘要:

The main problem in theoretical analysis of structures with strong confinement is the fact that standard mathematical tools: differential equations and Fourier's transformations are no longer applicable. In this paper we have demonstrated that method of Green's functions can be successfully used on low-dimension crystal samples, as a consequence of quantum size effects. We can illustrate modified model through the prime cubic structure molecular crystal: bulk and ultrathin film. Our analysis starts with standard exciton Hamiltonian with definition of commutative Green's function and equation of motion. We have presented detailed procedure of calculations of Green's functions, and further dispersion law, distribution of states and relative permittivity for bulk samples. After this, we have followed the same procedures for obtaining the properties of excitons in ultra-thin films. The results have been presented graphically. Besides modified method of Green's functions we have shown that the exciton energy spectrum is discrete in film structures (with number of energy levels equal to the number of atomic planes of the film). Compared to the bulk structures, with continual absorption zone, in film structures exist resonant absorption peaks. With increased film thickness differences between bulk and film vanish.

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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