Abstract

Motivated by the recent experimental and theoretical progresses in the exploration of the effect of disorder in interacting system, we examine the effect of two types of correlated disorder, the quasi-periodic potential and speckle disorder potential, on one- and two-particle problem with exact diagonalization (ED) method. We give the phase diagram for single particle in the presence of quasi-periodic potential and also analyse the effect of strong interaction on the phase diagram for ground state in two dimensions. For the speckle disorder potential case, we examine both the effect of correlation length and disorder strength on single particle ground state energy and two-particle binding energy. Comparison of certain results between these two correlated disorder is also discussed. The transport property for different interaction strength under speckle disorder potential is also calculated and discussed at last.

Graphic abstract

中文翻译：

---

与潜在障碍相关的一粒子和两粒子问题

摘要

根据探索相互作用系统中无序效应的最新实验和理论进展的动机，我们研究了两种相关的无序效应，准周期势和散斑无序势，对一维和两维问题的影响。精确对角化（ED）方法。我们给出了存在准周期电势时单个粒子的相图，并在二维中分析了强相互作用对基态相图的影响。对于散斑潜在疾病，我们研究了相关长度和无序强度对单粒子基态能量和两粒子结合能的影响。还讨论了这两种相关疾病之间某些结果的比较。

图形摘要