Exploring the Polaron Landscape in Germanium Halide Perovskites: CsGeCl ₃ , CsGeBr ₃ , and CsGeI ₃

The unique electronic properties of CsGe<i>X</i>₃ perovskites (<i>X</i> = Cl, Br, I) make them promising candidates for nonlinear optical applications. Understanding charge localization is needed to fully understand their physical and electronic behavior. Here, we perform a theoretical investigation of electron and hole polaron formation, and self-trapped exciton binding in CsGe<i>X</i>₃ using hybrid density functional theory. We find that polaron stability decreases from Cl to I. In particular, single-electron polarons form highly favorably in CsGeCl₃ and CsGeBr₃, whereas single-hole polarons can only be formed in CsGeCl₃. Double electron polarons are energetically favorable across the series. In addition, CsGeCl₃ and CsGeBr₃ exhibit stable self-trapped exciton configurations. These findings constitute a basis for understanding polaronic effects on the electronic properties of CsGe<i>X</i>₃ perovskites and open up access to their optimization in nonlinear optical applications.