Instituto de Física, Universidade Federal de Alagoas, Maceió AL 57072-970, Brazil.
Faculdade de Economia, Administração e Contabilidade, Universidade Federal de Alagoas, Maceió AL 57072-970, Brazil.
Phys Rev E. 2017 May;95(5-1):052217. doi: 10.1103/PhysRevE.95.052217. Epub 2017 May 30.
We consider interacting electrons moving in a nonlinear Morse lattice. We set the initial conditions as follows: electrons were initially localized at the center of the chain and a solitonic deformation was produced by an impulse excitation on the center of the chain. By solving quantum and classical equations for this system numerically, we found that a fraction of electronic wave function was trapped by the solitonic excitation, and trapping specificities depend on the degree of interaction among electrons. Also, there is evidence that the effective electron velocity depends on Coulomb interaction and electron-phonon coupling in a nontrivial way. This association is explained in detail along this work. In addition, we briefly discuss the dependence of our results with the type of initial condition we choose for the electrons and lattice.
我们考虑在非线性 Morse 晶格中运动的相互作用电子。我们设置初始条件如下：电子最初被局域在链的中心，并且通过在链中心的脉冲激励产生孤子变形。通过数值求解该系统的量子和经典方程，我们发现一部分电子波函数被孤子激发所捕获，并且捕获的特性取决于电子之间相互作用的程度。此外，有证据表明，有效电子速度取决于库仑相互作用和电子-声子耦合，这种关联在本工作中得到了详细的解释。此外，我们还简要讨论了我们的结果与我们为电子和晶格选择的初始条件类型的依赖性。
