Quantized Thouless pumps with paths containing the noninteracting singularity

Determine whether quantized Thouless pumps can be observed in interacting one-dimensional systems even when the closed adiabatic path includes the noninteracting topological singularity at (J'/J = 1, Δ = 0) of the Rice–Mele limit.

Background

Thouless pumps provide a dynamical probe of topology in one-dimensional systems, typically realized in the noninteracting Rice–Mele model by adiabatically encircling the singular point (J'/J = 1, Δ = 0) while maintaining a finite gap through symmetry breaking. Interactions are known to modify or even break quantized pumping, for instance via emergent Mott physics, although interaction-enabled or quasiquantized pumps have also been reported under certain conditions.

Previous works have considered displaced paths that avoid the noninteracting singularity or rely on finite-size gaps. The question of whether quantized pumping can persist when the periodic path actually contains the noninteracting singularity—particularly in the thermodynamic limit—had not been explicitly settled.