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应变对Cr掺杂单层MoS的电子结构和光学性质的影响。

Effect of strain on the electronic structure and optical properties of Cr-doped monolayer MoS.

作者信息

Wei Ran, Liu Guili, Gao Xuewen, He Jianlin, Zhao Jingwei, Chen Yuling, Zhang Guoying

机构信息

College of Architecture and Civil Engineering, Shenyang University of Technology, Shenyang, People's Republic of China.

School of Physics, Shenyang Normal University, Shenyang, People's Republic of China.

出版信息

J Mol Model. 2023 Oct 3;29(11):331. doi: 10.1007/s00894-023-05735-w.

DOI:10.1007/s00894-023-05735-w
PMID:37787828
Abstract

CONTEXT

In this paper, the electronic and optical properties of Cr-doped monolayer MoS under uniaxial tensile strain are investigated by first-principle calculations. It is shown that uniaxial tensile strain can significantly change the electronic and optical properties of Cr-doped monolayer MoS, and the bandgap value of the intrinsic MoS system gradually decreases with the increase of tensile strain, while the bandgap value of the Cr-doped MoS system is relatively stable. However, when the stretching reaches a certain degree, both the intrinsic and doped systems become metallic. From the analysis of the density of states, it is found that new electronic states and energy levels appear in the intrinsic MoS system and all Cr-doped monolayer MoS systems with the increase of the tensile strain, but the changes in the density of states diagrams of the Cr-doped monolayer MoS system are relatively small, which is mainly attributed to the effect of the Cr-doped atoms. The analysis of optical properties displays that the stretched doped system differs from the intrinsic MoS system in terms of dielectric function, absorption and reflection, energy loss function, and refractive index. Our results suggest that uniaxial tensile strain can be used as an effective means to modulate the electronic structure and optical properties of Cr-doped monolayer MoS. These findings provide a theoretical basis for understanding the optoelectronic properties of MoS and its doped systems as well as their applications in optoelectronic devices.

METHODS

Based on the first principle of density functional theory framework and the CASTEP module in Materials Studio software (Perdew et al. in Phys Rev Lett 77(18):3865-3868, 1996). The structure of Cr atom-doped MoS systems and MoS systems were optimized using the generalized gradient approximation plane-wave pseudopotential method (GGA) and Perdew-Burke-Ernzerhof (PBE) generalized functions under 3%, 6%, and 9% tensile deformation, and the corresponding formation energy, bond length, electronic structure, and optical properties of the models were analyzed. The Grimme (J Comput Chem 27(15):1787-1799, 2006) vdW correction with 400 eV cutoff was used in Perdew-Burke-Ernzerhof (PBE) functional to optimize the geometry until the forces and energy converged to 0.02 eV/Å and 1.0e-5eV/atom, respectively. For each model structure optimization, the K-point grid was assumed to be 4×4×1, using the Monkhorst-Pack special K-point sampling method. After the MoS supercell convergence test, the plane-wave truncation energy was chosen to be 400 eV. Following geometric optimization, the iterative accuracy converged to no less than 1.0×10 eV/atom for total atomic energy and less than 0.02 eV/Å for all atomic forces. We created a vacuum layer of 18 Å along the Z-axis to prevent the impact of periodic boundary conditions and weak van der Waals forces between layers on the monolayer MoS. In this paper, a total of 27 atoms were used for the 3×3×1 supercell MoS system, which consists of 18 S atoms and 9 Mo atoms.

摘要

背景

本文通过第一性原理计算研究了单轴拉伸应变下Cr掺杂单层MoS的电子和光学性质。结果表明,单轴拉伸应变可显著改变Cr掺杂单层MoS的电子和光学性质,本征MoS体系的带隙值随拉伸应变的增加而逐渐减小,而Cr掺杂MoS体系的带隙值相对稳定。然而,当拉伸达到一定程度时,本征体系和掺杂体系均变为金属性。通过对态密度的分析发现,随着拉伸应变的增加,本征MoS体系以及所有Cr掺杂单层MoS体系中均出现了新的电子态和能级,但Cr掺杂单层MoS体系的态密度图变化相对较小,这主要归因于Cr掺杂原子的影响。光学性质分析表明,拉伸后的掺杂体系在介电函数、吸收和反射、能量损失函数以及折射率方面与本征MoS体系不同。我们的结果表明,单轴拉伸应变可作为调控Cr掺杂单层MoS电子结构和光学性质的有效手段。这些发现为理解MoS及其掺杂体系的光电性质以及它们在光电器件中的应用提供了理论基础。

方法

基于密度泛函理论框架的第一性原理以及Materials Studio软件中的CASTEP模块(Perdew等人,《物理评论快报》77(18):3865 - 3868, 1996)。采用广义梯度近似平面波赝势方法(GGA)和Perdew - Burke - Ernzerhof(PBE)广义函数,在3%、6%和9%的拉伸变形下对Cr原子掺杂的MoS体系和MoS体系的结构进行优化,并分析模型的相应形成能、键长、电子结构和光学性质。在Perdew - Burke - Ernzerhof(PBE)泛函中使用截断能量为400 eV的Grimme(《计算化学杂志》27(15):1787 - 1799, 2006)范德华修正来优化几何结构,直到力和能量分别收敛到0.02 eV/Å和1.0e - 5eV/原子。对于每个模型结构优化,假设K点网格为4×4×1,采用Monkhorst - Pack特殊K点采样方法。经过MoS超胞收敛测试后,选择平面波截断能量为400 eV。几何优化后,总原子能量的迭代精度收敛到不低于1.0×10 eV/原子,所有原子力收敛到小于0.0

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