Splitting of topological charge pumping in an interacting two-component fermionic Rice-Mele Hubbard model

Abstract

A Thouless pump transports an integer amount of charge when pumping adiabatically around a singularity. We study the splitting of such a critical point into two separate critical points by adding a Hubbard interaction. Furthermore, we consider extensions to a spinful Rice-Mele model, namely a staggered magnetic field or an Ising-type spin coupling, further reducing the spin symmetry. The resulting models additionally allow for the transport of a single charge in a two-component system of spinful fermions, whereas in the absence of interactions, zero or two charges are pumped. In the SU(2)-symmetric case, the ionic Hubbard model is visited once along pump cycles that enclose a single singularity. Adding a staggered magnetic field additionally transports an integer amount of spin while the Ising term realizes a pure charge pump. We employ real-time simulations in finite and infinite systems to calculate the adiabatic charge and spin transport, complemented by the analysis of gaps and the many-body polarization to confirm the adiabatic nature of the pump. The resulting charge pumps are expected to be measurable in finite-pumping speed experiments in ultra-cold atomic gases, for which the SU(2) invariant version is the most promising path. We discuss the implications of our results for a related quantum-gas experiment by Walter et al. [arXiv:2204.06561].

arXiv comment12 pages, 7 figures. Revised version essentially as published. Data is partially available as ancillary files

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• Reversal of quantised Hall drifts at non-interacting and interacting topological boundaries
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• Thouless pumping in Josephson junction arrays
• Topological charge pumping with subwavelength Raman lattices
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• Repulsion driven metallic phase in the ground state of the half-filled $t-t^{\prime }$ ionic Hubbard chain
• Rate Function Modelling of Quantum Many-Body Adiabaticity
• Anisotropy-driven topological quantum phase transition in magnetic impurities