Wave‐Packet Dynamics in Chains with Disorder‐Type Ornstein–Uhlenbeck and Static Electric Field,Physica Status Solidi (B) - Basic Solid State Physics

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Wave‐Packet Dynamics in Chains with Disorder‐Type Ornstein–Uhlenbeck and Static Electric Field
Physica Status Solidi (B) - Basic Solid State Physics ( IF 1.5 ) Pub Date : 2020-05-09 , DOI: 10.1002/pssb.202000096
Jose Luis S. Soares ₁ , Adhemar Ranciaro Neto _{2,

3} , Messias O. Sales ₄ , Francisco A. B. F. de Moura ₁

Affiliation

Herein, the electronic dynamics in a 1D model with correlated disorder and under the influence of a static electric field is considered. In the framework, the diagonal disorder is obtained from an Ornstein–Uhlenbeck (OU) process. The Schrödinger equation considering an initial Gaussian wave packet with width l located at the center of chain will be solved. To understand the competition between the OU‐like disorder and the electric field, the time evolution of the electronic mean position is calculated. The results suggest that chains with diagonal disorder generated from OU process with small viscosity coefficient seem to exhibit apparent Bloch oscillations (BO) with dominant frequency roughly ω ≈ E. In addition, the stability of these apparent BO along the time is investigated.

中文翻译：

具有无序型Ornstein–Uhlenbeck和静电场的链中的波包动力学

在此，考虑具有相关的无序性并且在静电场的影响下的一维模型中的电子动力学。在框架中，对角线紊乱是从Ornstein-Uhlenbeck（OU）过程获得的。将求解考虑初始高斯波包且链宽为1的初始高斯波包的Schrödinger方程。为了了解类OU紊乱与电场之间的竞争，计算了电子平均位置的时间演化。结果表明，与来自具有小粘度系数OU过程中产生的对角无序链似乎表现出明显的布洛赫振荡（BO）与主频率大致ω 听，说： ë。另外，研究了这些表观BO随时间的稳定性。

更新日期：2020-05-09

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