Effective-mass theory for the anisotropic exciton in two-dimensional crystals: Application to phosphorene

Elsa Prada; J. V. Alvarez; K. L. Narasimha-Acharya; F. J. Bailen; J. J. Palacios

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Effective-mass theory for the anisotropic exciton in two-dimensional crystals: Application to phosphorene

机译：二维晶体中各向异性激子的有效质量理论：在磷中的应用

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We present a theoretical study of the exciton binding energy for anisotropic two-dimensional crystals. We obtain analytical expressions from variational wave functions in different limits of the screening length to exciton size ratio and compare them with numerical solutions, both variational and exact. As an example, we apply these results to phosphorene, a monolayer of black phosphorous. Aided by density-functional-theory calculations for the evaluation of the two-dimensional polarizability, our analytical solution for the exciton binding energy gives a result which compares well with numerical ones and, in turn, with experimental values, as recently reported.

机译：我们提出了各向异性二维晶体的激子结合能的理论研究。我们从筛选长度与激子尺寸比的不同限制范围内的变分波函数获得解析表达式，并将其与数值解（包括变分和精确）进行比较。例如，我们将这些结果应用于磷，即黑磷的单层。正如最近报道的那样，借助密度泛函理论计算来评估二维极化率，我们对激子结合能的解析解给出了与数值结果以及实验值相比较的结果。

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《Physical review》 |2015年第24期|245421.1-245421.8|共8页
作者
Elsa Prada; J. V. Alvarez; K. L. Narasimha-Acharya; F. J. Bailen; J. J. Palacios;
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Departamento de Fisica de la Materia Condensada, Universidad Autonoma de Madrid, Cantoblanco, 28049 Madrid, Spain ,Instituto de Ciencia de Materiales Nicolas Cabrera, Universidad Autonoma de Madrid, Cantoblanco, 28049 Madrid, Spain ,Condensed Matter Physics Center (IFIMAC), Universidad Autonoma de Madrid, Cantoblanco, 28049 Madrid, Spain;

Departamento de Fisica de la Materia Condensada, Universidad Autonoma de Madrid, Cantoblanco, 28049 Madrid, Spain ,Instituto de Ciencia de Materiales Nicolas Cabrera, Universidad Autonoma de Madrid, Cantoblanco, 28049 Madrid, Spain ,Condensed Matter Physics Center (IFIMAC), Universidad Autonoma de Madrid, Cantoblanco, 28049 Madrid, Spain;

Departamento de Fisica de la Materia Condensada, Universidad Autonoma de Madrid, Cantoblanco, 28049 Madrid, Spain;

Departamento de Fisica de la Materia Condensada, Universidad Autonoma de Madrid, Cantoblanco, 28049 Madrid, Spain;

Departamento de Fisica de la Materia Condensada, Universidad Autonoma de Madrid, Cantoblanco, 28049 Madrid, Spain ,Instituto de Ciencia de Materiales Nicolas Cabrera, Universidad Autonoma de Madrid, Cantoblanco, 28049 Madrid, Spain ,Condensed Matter Physics Center (IFIMAC), Universidad Autonoma de Madrid, Cantoblanco, 28049 Madrid, Spain;

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theory, models, and numerical simulation; electronic structure of nanoscale materials: clusters, nanoparticles, nanotubes, and nanocrystals;

机译：理论;模型和数值模拟;纳米级材料的电子结构：簇;纳米颗粒;纳米管和纳米晶体;

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7. Effective-mass theory for the anisotropic exciton in two-dimensional crystals: Application to phosphorene [O] . Prada, Elsa, Alvarez, J. V., Narasimha-Acharya, K. L., 2015

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Effective-mass theory for the anisotropic exciton in two-dimensional crystals: Application to phosphorene

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