论文标题
在电场中转基准乙烯中移动孤子的稳定性
Stability of moving solitons in trans-polyacetylene in an electric field
论文作者
论文摘要
在这项工作中，我们研究了反乙二醇（TPA）中带电孤子的动力学和稳定性，并在与聚合物平行应用的外部电场的效果下重新审视这些非线性激发的稳定性问题。使用Su-Schrieffer-Heeger（SSH）模型的形式主义，我们在平均场水平和低外部电场$ e $的机制下解决了电子和经典核的耦合动力学方程，其中移动Soliton的动力学是绝热的。分析实际空间和频率空间中可观察到的数量，我们确定了触发孤子动力学不稳定性的微观机制。此外，我们提出了对其稳定性的适当定量度量的定义，据我们所知，这个问题仍然是一个悬而未决的问题。除了从基本角度来看，我们的工作可能与基于孤子介导的运输的新型有机电子设备的设计有关。
In this work we study the dynamics and stability of charged solitons in trans-polyacetylene (tPA), and revisit the issue of the stability of these non-linear excitations under the effect of an external electric field applied parallel to the polymer. Using the formalism of the Su-Schrieffer-Heeger (SSH) model, we solve the coupled dynamical equations for electrons and classical nuclei at the mean-field level and in the regime of low external electric field $E$, where the dynamics of the moving soliton is adiabatic. Analyzing observable quantities in real space and frequency space, we identify the microscopic mechanisms triggering the dynamical instabilities of the soliton. In addition, we put forward the definition of a proper quantitative measure of its stability, an issue which to the best of our knowledge has remained an open question. Besides its intrinsic interest from the fundamental point of view, our work might be relevant for the design of novel organic electronic devices based on soliton-mediated transport.
