Interaction Induced Topological Charge Pump

Abstract

Based on a topological transition of the symmetry protected topological phase (SPT), an interaction induced topological charge pump (iTCP) is proposed with the symmetry breaking parameter as a synthetic dimension. It implies that the phase boundary of the SPT is the topological obstruction although iTCP and the gap closing singularity is stable for symmetry breaking perturbations. We have confirmed the bulk-edge correspondence for this iTCP using DMRG for the Rice-Mele model with nearest-neighbor interactions. As for a realization in optical lattices, an interaction sweeping pump protocol is proposed as well.

arXiv comment5+2 pages, 4+4 figures

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• Two-dimensional nonlinear Thouless pumping of matter waves
• Splitting of topological charge pumping in an interacting two-component fermionic Rice-Mele Hubbard model
• Interactions enable Thouless pumping in a nonsliding lattice
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• Charge pumps, boundary modes, and the necessity of unnecessary criticality
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• Absence of disordered Thouless pumps at finite frequency
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• Equivariant Parameter Families of Spin Chains: A Discrete MPS Formulation