Multiple localization transitions in a dimerized Kitaev superconductor model with random-dimer disorder

Recently, the reentrant localization has been theoretically and experimentally observed in a random-dimer disordered Su–Schrieffer–Heeger (SSH) lattice (Zuo et al., 2022; Xu et al., 2024). Here, We study the influence of random-dimer disorder in a one-dimensional dimerized Kitaev superconductor model, which is a generalized SSH model with $p$-wave superconducting pairing term. We show that the random-dimer disorder can lead to a topological Anderson insulator phase from a trivial phase, which can be confirmed by the real-space winding number together with Majorana zero modes in the energy spectrum. Furthermore, the inverse participation ratio, normalized participation ratio, and fractal dimension are calculated to characterize the localization properties of the system. The localization transition occurs two or three times with increasing the disorder strength. These results demonstrate that the disorder-induced topological phase transitions are not tied to the multiple localization–delocalization transitions.