Topological phase transition in nonchiral Rice-Mele model with bond disorder

Abstract: The Rice-Mele model consists of a one-dimensional lattice with two sublattice sites in each unit cell subjected to a staggered sublattice potential. The onsite potential constitutes a mass term that breaks chiral symmetry. In this paper, we show that a topological phase transition is induced in this model by disordering intracell and intercell hopping energies unequally, by means of a symmetry-independent global invariant. For small enough mass, the phase transition is accompanied by anomalous localization, which is accounted for in terms of geometric means of random variables. The specific disorder strength at which anomalous localization occurs is independent of mass. In contrast, the critical disorder strength at which the phase transition takes place decreases as mass increases, and eventually becomes invariable for large enough mass. For large enough mass, we show that the phase transition is characterized by arithmetic means instead of geometric means.