共轭高聚物中极化子形成的自洽迭代收敛性

用自洽迭代的方法模拟了一维共轭高聚物链中极化子的形成,得出有机物链的初始晶格位形与自洽迭代收敛性的关系。对于初始晶格位形为键长有规律交错变化的一维晶格,闭链的收敛精度远高于开链的收敛精度,表明有机物链越长收敛越慢。对于闭链,降低晶格的对称性,有利于自洽迭代收敛于极化子。在有机物链中出现杂质的情况下,我们发现杂质所处的位置同收敛性密切相关,当掺杂发生在有机物链的中心附近区域时,自洽迭代单调收敛;而当掺杂发生在其它区域时,收敛过程出现波动性,导致收敛过程变慢。我们的研究表明,一维有机分子链中载流子的生成同初始晶格的位形与分子链所处的环境密切相关,这预示着在更复杂的有机物结构中,可能存在新型的复合载流子。     

长程电子关联对聚噻吩中极化子的影响

采用扩展的SSH模型,加上电子相互作用和长程电子关联,用自洽迭代的方法研究了聚噻吩链中的极化子问题,计算了电子相互作用和长程电子关联对极化子位形和电荷密度的影响,获得了长程电子关联使极化子位形变小,极化子区域变窄,电荷密度震荡减弱,对聚合物中电子的输运的影响不能忽略的有益结果.     

共轭高聚物中的杂质分布：晶格形态及高浓度掺杂效应

基于扩展Su-Shrieffer-Heeger (SSH)模型,通过自洽计算的数值方法,研究了共轭高聚物链表现为孤子态和大极化子态两种不同晶格形态时链内的杂质分布情况,计算结果显示,分立的畴壁可导致高聚物链中形成多个稳定的势阱,有利于杂质在链中聚集分布。此外,还研究了在较高浓度的掺杂条件下,共轭高聚物链内的杂质分布规律。结果显示,杂质倾向于在中心区形成高浓度分布,而在链端区,杂质更倾向于离散分布。该研究表明,高浓度掺杂下杂质分布具有稳定的特征,晶格形态对杂质分布具有显著的影响,这些结论可为实验上操控杂质在共轭高聚物中的分布提供一定的帮助。     

共轭高聚物中的杂质分布:晶格形态及高浓度掺杂效应

基于扩展Su-Shrieffer-Heeger(SSH)模型,通过自洽计算的数值方法,研究了共轭高聚物链表现为孤子态和大极化子态两种不同晶格形态时链内的杂质分布情况,计算结果显示,分立的畴壁可导致高聚物链中形成多个稳定的势阱,有利于杂质在链中聚集分布.此外,还研究了在较高浓度的掺杂条件下,共轭高聚物链内的杂质分布规律.结果显示,杂质倾向于在中心区形成高浓度分布,而在链端区,杂质更倾向于离散分布.该研究表明,高浓度掺杂下杂质分布具有稳定的特征,晶格形态对杂质分布具有显著的影响,这些结论可为实验上操控杂质在共轭高聚物中的分布提供一定的帮助.     

钙钛矿锰氧化物中的极化子研究

钙钛矿锰氧化物(以下简称锰氧化物,如La_1-xSr_xMnO₃等,x为掺杂浓度)因其优异的电、磁性质受到人们广泛的关注,但是对于其材料内部载流子性质的认识至今仍没有统一定论.本文基于锰氧化物内Mn—O链的特点,建立一维紧束缚模型,对锰氧化物载流子的性质展开研究.发现在掺杂浓度x=0.5时,系统处于铁磁态,自旋能级完全劈裂,价带和导带之间存在带隙,所有电子态呈现扩展行为.进一步掺杂,将出现局域电子态,同时伴随着晶格的局域畸变,形成所谓的极化子.伴随着极化子的出现,带隙中出现极化子深能级.极化子携带的电荷量越多,形成的晶格缺陷越深,局域能级也越深.当极化子的电荷量继续增加时,极化子解离,载流子倾向于形成能量更低的正反"孤子"对.     

共轭高聚物链中极化子生成的掺杂效应

在紧束缚近似下,用绝热动力学演化的方法研究了共轭高聚物链中低浓度掺杂对极化子生成位置的影响。研究发现,掺入杂质与注入电子的先后次序不同,极化子生成的位置会有很大差别,先注入电子后掺入杂质的情况下,在链端自由区与过渡区,极化子生成位置受杂质影响较小;而先杂质后电子的次序下,极化子的生成位置明显受到杂质的控制。该研究表明共轭高聚物链中极化子的生成位置可通过调节掺杂与电荷注入的次序加以控制,从而可达到间接改变载流子迁移率的目的。     

共轭高聚物链中极化子生成的掺杂效应

在紧束缚近似下,用绝热动力学演化的方法研究了共轭高聚物链中低浓度掺杂对极化子生成位置的影响.研究发现,掺入杂质与注入电子的先后次序不同,极化子生成的位置会有很大差别,先注入电子后掺入杂质的情况下,在链端自由区与过渡区,极化子生成位置受杂质影响较小;而先杂质后电子的次序下,极化子的生成位置明显受到杂质的控制.该研究表明共轭高聚物链中极化子的生成位置可通过调节掺杂与电荷注入的次序加以控制,从而可达到间接改变载流子迁移率的目的.     

一维分子链中的极化子

研究一维分子链中的极化子,考虑了晶格动力学矩阵非对角元对声子Hamiltonian的贡献,得出与原有文献形式不同的极化子解. 关键词：     

反式聚乙炔的极化子静态性质研究

在Su-Schrieffer-Heeger（SSH）模型基础上,考虑长程电子关联的影响,研究反式聚乙炔分子链中空穴极化子与电子极化子的稳态性质。比较不同关联强度下两类极化子的晶格位形、能级、电荷密度波、以及吸收谱线的变化。加深对分子链中极化子的认识,该理论方法也可推广到高分子链中其它元激发的静态性质研究中,为不同类型元激发动力学性质研究奠定基础。     

一维分子链中激子与声子的相互作用和呼吸子解

运用连续极限近似，求解声子与激子相互作用的运动方程，得到了简谐分子链和 非简谐分子链中晶格振动的孤子解，在考虑三次非简谐势的情况下，一维分子链晶格振动具 有扭结孤子解，在考虑具有四次非简谐势的情况下，得到一维分子链晶格振动具有呼吸子解 . 关键词： 一维分子链 激子 声子 孤子 呼吸子 非线性效应     

Dynamics of polaron in a polymer chain with impurities

In a polymer chain, an extra electron or hole distorts the chain to form a charged polaron, which is the charge carrier being responsible for conductivity. When an intermediate-strength electric field is applied, the polaron will be accelerated for a short time and then move at a constant velocity. The dynamical process of polaron in a polymer chain with impurities is simulated within a non-adiabatic evolution method, in which the electron wave function is described by the time-dependent Schrödinger equation while the polymer lattice is treated classically by a Newtonian equation of motion. We have considered two kinds of dynamical processes, one is the field-induced depinning of a charged polaron, which is initially bound by an attractive impurity; and the other is the scattering of a polaron from an impurity. In the former process, the charged polaron will depart from the attractive impurity only for the applied field with strength over a threshold, otherwise, the polaron will oscillate around the impurity. In the latter process, the charged polaron moves through the impurity in the presence of an electric field while it will be bounced back for a repulsive impurity or trapped to oscillate around an attractive impurity in the case that the applied electric field is weak and just be present for the polaron acceleration.Received: 4 June 2004, Published online: 14 December 2004PACS: 71.38.-k Polarons and electron-phonon interactions - 72.80.Le Polymers; organic compounds (including organic semiconductors)     

Reconciling charged polarons with the anomalously small Curie-law susceptibility in lightly doped trans-polyacetylene

Results of restricted and unrestricted Hartee-Fock calculations on finite (C₂H₂)_x clusters and of Koster-Slater calculations on the infinite trans-polyacetylene chain suggest the possibility of eliminating the objection that the formation of a charged polaron due to doping is not consistent with susceptibility measurements. Proper self-consistent inclusion of electron-electron interaction leads to localized electronic states in the gap which are spin paired.     

Polarons in quantum chains with XY exchange and Dzyaloshinsky-Moriya interaction

Excitations of the polaron types are investigated in the spin-1/2 quantum chain with XY exchange and Dzyaloshinsky-Moriya interaction, both coupled to acoustic vibrations of the substrate lattice. The study is carried out via Jordan-Wigner transformation with the help of which the spin chain is mapped onto a chain of spinless fermions. From the resulting effective fermion-lattice Hamiltonian, the discrete equations of motion are derived. These equations are solved in the continuum limit for self-trapped states near the bottom of the fermion spectrum interacting with long-wavelength acoustic lattice modes. The associate polaron solution, which has a pulse shape, is shown to propagate bound to the induced lattice kink distortion by translation along the chain at a constant velocity v. The pair can also experience an additional acceleration ϑ₀ when the free fermion charge is excited above its groundstate. The polaron binding energy is strongly reduced, depending quadratically on the ratio D/J of the Dzyaloshinsky-Moriya interaction strength D to the isotropic XY exchange interaction J. It is also found that polaron parameters depend only on the XY spin-lattice coupling but not on the Dzyaloshinsky-Moriya contribution.     

Bipolaron formation in the presence of magnetic impurities

The formation of bipolarons in the presence of magnetic impurities is studied theoretically. We use the extended Hubbard Su–Schrieffer–Heeger (SSH) model with Brazovskii–Kirova and Kondo interaction terms. Parameters are chosen suitably for cis-polyacetylene. A Quantum Monte Carlo (QMC) algorithm is used to study the equilibrium lattice structure and charge distribution as a function of doping level and Kondo exchange integral. The magnetic impurities can have a destructive effect on bipolaron stability, instead favouring the two polaron configuration. However by suitably adjusting the doping level, bipolarons can be stabilized over a wide range of impurity strength.     

链间耦合对聚乙炔多链体系中电子极化子再激发态的影响

采用拓展紧束缚Su-Schrieffer-Heeger(SSH)模型,研究了链间耦合对反式聚乙炔多链体系中电子极化子再激发态的晶格位形、净电荷密度、局域能级波函数和态密度的影响.结果发现:对于两条链体系,当链间耦合很小(t⊥≤0.01 e V)时,注入到系统中的电子只会在第一条链上诱发产生一个晶格缺陷,形成电子极化子再激发态,这和单链体系是一致,而第二条链仍是二聚化基态.随着链间耦合的增大,第一条链上缺陷的局域度减少而第二条链上的缺陷局域度相应增加,直至两条链上的位形相同;对于多条链(5条链和6条链)体系,当耦合很小(t⊥≤0.05 e V)时,电子极化子再激发态也只会存在于一条链上,当链间耦合较强时,极化子再激发态会在链间层次性地扩展开来,并不会出现多条链位形相同;从两条链的能级图上可以看到随着链间耦合t⊥的增大,体系的带隙不断的增大和电子态密度显示的是完全吻合的,体系的导电性减弱.通过分析两条链体系在t⊥=0 e V和t⊥=0.1 e V的能级态密度,发现链间耦合越强,则中间局域能级的态密度越小,最后没有中间局域态.