The Nobel Prize in Physics 2016 was awarded for the application of topology to physics. An experimental realisation of this is a new type of material called a 'topological insulator' (an insulator constrained by a feature of its topology). The simplest example of a topological insulator is a one-dimensional model called the SSH model. In our project, we studied an alternative model called the CDW model and found surprising new results [1]. Specifically, we studied the effects of introducing disorders to these models. A level of disorder may be present in materials due to things such as crystal defects in the material or caused by an external field; hence, the presence of this disorder is inevitable in physical realisations, and it is essential to understand their effects. Come to our talk to discover more.