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双语推荐:紧束缚模型

基于一维紧束缚SSH 模型和扩展的 Hubbard模型,采用非绝热分子动力学方法,在非限制性 Har-tree-Fock(HF)平均场近似下,研究了三粒子复合体 trion的静态性质.trion比极化子、双极化子具有更大的束缚能、稳定性和有效质量;电子声子耦合和电子间相互作用均增强 trion的局域度,并导致其有效质量增大,稳定性增强.
Based on the one-dimensional tight-binding Su-Schrieffer-Heeger (SSH ) model and the ex-tended Hubbard model(EHM ) ,using an nonadiabatic molecular dynamics method ,the static properties of trions in conjugated polymers at the unrestricted hartree-fock(UHF) level was investigated .Trion posses-ses the larger binding energy ,stability and effective mass than those of both the polaron and the bipolaron . The electron-electron and electron-phonon interactions all strengthen the localization ,effective mass and stability of the trion .

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基于扩展的Su-Schrieffer-Heeger紧束缚模型,利用非绝热动力学方法研究了链内无序效应对共轭聚合物中极化子输运机制的影响。研究发现,极化子的输运由外加电场和链内无序效应共同作用的结果所决定。在一般情况下,链内无序效应不利于极化子的输运,但随着电场强度的增大,无序对极化子输运的影响减小。
Polaron transport process in conjugated polymer with intrachain disorder is simulated using a nonadiabatic evolution method. The simulations are performed within the framework of an extended version of the Su-Schrieffer-Heeger model modified to include intrachin disorder and an external electric field. It is found that the polaron transport mechanism is determined by both the electric field and the intrachain disorder. The effects of intrachin disorder are negative in most cases, but with the increase of the electric field, the influence of intrachin disorder on polaron transport decreases.

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基于一维紧束缚的Su-Schreiffer-Heeger模型,采用非绝热动力学方法,研究了链间耦合对聚合物中极化子对非弹性散射性质的影响:激子的产生依赖于链间耦合,随着耦合强度的增加,正负极化子对的电子波函数交叠增强,利于提高激子的产率;当耦合区域是极化子的宽度时,正负极化子对波函数的耦合最充分、耦合最强,电荷跃迁更容易,激子产率最大.
@@@@Within an one-dimensional tight-binding Su-Schreiffer-Heeger model, we investigate the effect of interchain coupling on inelastic scattering of oppositely charged polarons in conjugated polymer by using a nonadiabatic evolution method. It is found that the yield of the neutral exciton depends sensitively on the interchain coupling. The yield of the neutral exciton increases with the enhancement of overlapping which can make the wave functions of oppositely charged polarons more largely overlapped. The formation yield of excitons also increases with the number of overlapping sites increasing to its maximum value, where the length of overlapping sites is almost of the same order of magnitude as the width of the polaron, the reason is that the number of overlapping sites can affect the overlap of oppositely charged polaron wave functions. In turn, the charge transfer between them depends on the overlap of their wave functions. Therefore, when the size of overlapping sites is almost of

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文章利用紧束缚模型计算了二维正方、三角、六角格子色散关系。对于正方和三角格子,主要考虑电子在最近邻格点上的跳跃情况。对于六角格子,以石墨烯为例,考虑电子只在最近邻格点上跳跃以及同时考虑电子在最近邻和次近邻格点上跳跃两种情况。对于以上3种格子的色散关系,利用Matlab软件进行图形化,并用Fortran软件编程计算相应的态密度,计算结果对理解不同晶格的电学性质提供理论基础。
In this paper,we calculated the dispersion relations of two-dimensional square,triangular and hex?agonal lattice by tight binding model.For the square and triangular lattice,we mainly considered the electrons hops between the nearest neighbors,while for the hexagonal lattice,taking graphene as example,we consid?ered the electrons not only hops between the nearest neighbors but also between the next nearest neighbors. For the dispersion relations of above three kinds of lattices,we use Matlab software to draw the figures.Be?sides,the corresponding density of states (DOS) was calculated by Fortran software.These results provide a theoretical basis for understanding the electronic properties of different lattices.

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将两种全局结构搜索方法(压缩液态法、遗传算法)与锗的紧束缚模型相互结合,对Ge65, Ge70, Ge75的稳定结构进行了大规模的搜寻,提出能量较低的可能结构,然后进一步利用第一性原理方法对这些低能结构进行精确的优化计算,确定出了这三种尺寸团簇的基态结构。发现这三种团簇各具有两种稳定的并且能量相近的异构体:类球形和类椭球形,这与实验上报道的大尺寸团簇Gen (65 n 80)的结构特征相符合。简要地分析了这三种团簇基态结构的电子性质。
The low-lying candidates of Ge65, Ge70 and Ge75 are extensively investigated through combining the tight-binding potential of germanium with two kinds of global minima search strategies:compressing liquid and genetic algorithm. Then, we perform accurate ab initio calculations to optimize the atomic structures of these low-lying candidates and identify the ground state structures. Our calculations predict that there exist two kinds of stable isomers characterizing the sphere-and ellipsoid-like structural features for each sized cluster, and the two kinds of isomers are energetically competitive. This is consistent with the observation for the large sized clusters Gen (65 n 80) in experiment. Meanwhile, we also briefly analyze the electronic properties of these three kinds of clusters.

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基于扩展的一维SSH紧束缚模型结合非绝热的分子动力学方法,理论研究了共轭聚合物分子(PPV)在光脉冲作用下受激吸收和受激辐射的量子动力学过程.首先,设定分子初始处于基态,讨论了受激吸收过程中不同的电子受激跃迁模式与光激发脉冲的关系.通过对终态的分析,发现分子受激后只能产生电子-空穴的束缚态,包括:激子、双激子和高能激子.计算了各种激发态的产率,特别是,给出了各种激发态产率与光激发能量的定量关系.此外,基于实验,分别讨论了光激发强度对高能激子和双激子产率的影响,并与实验结果进行了比较.最后,设定分子初始分别处于激子和双激子态,研究了分子内定域能级之间的受激辐射过程,并简单讨论了激子和双激子受激辐射与光激发能量及强度的关系.
By applying a femtosecond electric pump pulse to a poly(p-phenylene vinylene) (PPV) molecule, we theoretically investigate the dynamical processes for its stimulated absorption and emission. The simulations are performed within the framework of an extended version of one-dimensional Su-Schrieffer-Heeger tight-binding model combined with a nonadiabatic evolution method. Firstly, we set the molecule initially lying in the ground state, by which we give the relation between different stimulated transition modes and the photoexciting pulse. Analysis of the final states shows that we can only obtain some electron-hole binding states by an external optical excitation for the molecule, which includes exciton, biexciton, and high-energy exciton. We have calculated their yields and find that they are determined by the optical excitation energy. In addition, based on the experimental observations, we separately investigate the effect of the optical excitation intensity on the yields of

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采用紧束缚模型分别描述单层、双层石墨烯的能带结构,利用光子-电子相互作用的二阶微扰理论分别计算单光子和双光子吸收系数.计算结果表明:单层石墨烯单光子吸收系数为常数,约为6.8×107m 1,即单层石墨烯对入射光的吸收率约为2.3%;双层石墨烯的单光子吸收比单层石墨烯的单光子吸收强,且随入射光波长呈分段性变化.单层石墨烯的双光子吸收系数与波长λ4成正比;双层石墨烯双光子吸收系数在红外波段(~3100 nm处)有一个很强的共振吸收峰.研究结果可为石墨烯材料在光电子器件的研究和制作方面提供指导.
We theoretically simulate one-photon and two-photon absorption spectra for monolayer and bilayer graphene employing the second-order perturbation theory of the electron-photon interaction. The tight-binding model is used to describe the band structure of graphene. The results show that one-photon absorption coefficient of monolayer graphene is a constant about 6.8 × 107 m?1, demon-strating that the absorptivity of incident light in monolayer graphene approximates to 2.3%. The one-photon absorption coefficient of bilayer graphene changes sectionally with the wavelength and is greater than that of monolayer graphene. The two-photon absorption coefficient of monolayer graphene is proportional toλ4 . The two-photon absorption coefficient of bilayer graphene exhibits a giant resonance absorption peak in the infrared (~3100 nm) region. Our results will provide theoretical guidance for the application of graphene in the research field of optoelectronic devices.

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根据π电子的紧束缚模型,通过有限系统的Bloch定理方法,解析计算了有限尺寸石墨烯的电子态和能带.研究发现,其电子态有且只有两类,分别是驻波态和边缘态.驻波态时,波函数形式是两个方向都是正弦函数;边缘态时,波函数形式是Armchair边界的方向是双曲正弦函数, Zigzag边界的方向是正弦函数.其能带由总碳原子数N个离散的本征值组成,推导了定量计算边缘态的本征值个数的表达式,并通过态密度来分析边缘态的存在和与无限大情况的一致性.所有的分析中数值结果与解析理论都完全一致,当两个受限方向都变成无限长时,可以得到与无限大石墨烯相同的结果.
@@@@The limited graphene means that two directions of graphene are limited, one is zigzag type boundary and the other is armchair type boundary. Based on the tight-binding model, the electronic state and band of the limited graphene are given analytically. The results show that there are only two kinds of electronic states, i.e., the standing wave state and edge state. For the standing wave state, the wave function is in the form of sine function in two directions;for the edge state, the wave function is in the form of hyperbolic sine function in the direction of armchair boundary and in the form of sine function in the direction of zigzag boundary. The band is composited of total carbon atom number N discrete eigenvalues. The expression of quantitativly calculating the number of eigenvalues of edge state is deduced. Through the density of states of the limited graphene we analyze the existence of the edge state and the consistency in the infinity case. The results from the analitical

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基于紧束缚近似哈密顿模型,运用波包动力学方法,数值模拟研究了石墨烯电子穿越线缺陷的输运性质和相应的透射率,着重探讨线缺陷对于电子Valley赝自旋的滤波特性.模拟结果表明:(1)石墨烯线缺陷对于电子valley赝自旋具有半透性;(2)电子的透射率与入射角度和能量都有关;(3)在某个临界角度θc,透射率出现峰值,其大小随着能量的增加而增大,而|θc|的绝对值却随能量的增加而减小;(4)当入射角|θ|大于|θc|时,透射率将急剧地降为0.进一步的理论分析指出,这是由于透射率能量关系中的非线性项所造成的.最后,我们的数值模拟结果进一步地证明了石墨烯线缺陷未来作为valley赝自旋滤波器件的实用可能性.
Graphene is a promising nanostructure material used in the field of materials science,electronics and nanotechnology because of its unique geometric structure and amazing physical and chemical properties.In addition to the conventional spatial and spin degrees of freedom,the electrons in graphene have another degree of freedom,called as the valley pseudospin,making it possible to develop the specific valleytronics devices by the graphene,which are very similar to those in the spintronics.However,the pristine graphene is a zero-gap semiconductor,which brings a great difficulty to the control of graphene electron and limits its potential applications in the field of nano-electronic devices.In order to solve this problem,the method to produce some defects in the grapheme is often used.Recently,the topological defects in graphene, such as the grain boundary and line defect,have been observed in experiments,which will have a big effect on its electronic transport properties,e.g.,changing th

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本文运用紧束缚模型对介观尺寸原子链的等离激发进行了系统的研究,通过量子响应理论和相无规近似得到了等离激元的本征频率方程,通过该方程计算了系统中等离子体的激发能量,并分别对体系的本征振荡以及外电场作用在原子链上发生共振的情况进行了研究.结果表明,体系在外场作用下发生共振时,偶极矩的峰值与等离子体的激发态相对应,说明外场此时激发了等离激元;体系处在共振情况下,电荷振荡的幅度远远大于非共振的情况,相对来说体系的电荷虚部的共振更为明显.对于体系的本征等离振荡频率,同等长度时等离子体的激发能量总是大于同级的单电子激发能量;等离激元的能谱与原子链的长度和电子密度以及系统的库仑关联强度都有很大关系;在原子链长度保持不变的情况下,等离子体的激发能量随电子数目的变化以半满为中心呈对称关系.
Plasmonic excitations in mesoscopic-sized atomic chains are investigated by employing the tight-binding model. Based on the quantum response theory and random phase approximation, a plasma oscillation eigen-frequency equation is derived for calculation of the plasmon energy spectrum. The plasmon energy spectrum has been numerically calculated, and the eigen-oscillation of the system and the resonance behavior under the external electric field applied on the atom chain are investigated, respectively. Dependence of plasmonic excitation energy on the length of systems and electron density has been discussed. Results suggest that in the case of resonance, the resonant peak of dipole moment is corresponding to the plasmonic excitation, and this indicates that the external electric field excites the plasmon of the system. In resonance the oscillation amplitude of the charge is much larger than that in the case of non-resonance, especially the imaginary part of the charge has a more obvious e

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