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].

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

References in corpus (11)

• Many-Body Physics with Ultracold Gases
• Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
• The density-matrix renormalization group in the age of matrix product states
• The iTEBD algorithm beyond unitary evolution
• Interaction-induced topological bound states and Thouless pumping in a one-dimensional optical lattice
• Quantized pumping and phase diagram topology of interacting bosons
• Fractional charge pumping of interacting bosons in one-dimensional superlattice
• Effect of disorder on topological charge pumping in the Rice-Mele model
• Probing the bond order wave phase transitions of the ionic Hubbard model by superlattice modulation spectroscopy
• Topological pumping in the one-dimensional Bose-Hubbard model
• Ground state properties of the bond alternating spin-$\frac{1}{2}$ anisotropic Heisenberg chain

Cited by in corpus (21)

• Thouless pumping and topology
• Quantisation and its breakdown in a Hubbard-Thouless pump
• Interactions enable Thouless pumping in a nonsliding lattice
• Topological invariants based on generalized position operators and application to the interacting Rice-Mele model
• Reversal of quantised Hall drifts at non-interacting and interacting topological boundaries
• Stabilization of Hubbard-Thouless pumps through nonlocal fermionic repulsion
• Phonon-induced breakdown of Thouless pumping in the Rice-Mele-Holstein model
• Interaction driven topological phase transitions of hardcore bosons on a two-leg ladder
• Quantized Thouless pumps protected by interactions in dimerized Rydberg tweezer arrays
• Phase diagram and topology of the XXZ chain with alternating bonds and staggered magnetic field
• Charge and spin gaps of the ionic Hubbard model with density-dependent hopping
• Anomalous bulk-edge correspondence of nonlinear Rice-Mele model
• Non-Adiabatic Effect in Topological and Interacting Charge Pumping
• Thouless pumping in Josephson junction arrays
• Topological charge pumping with subwavelength Raman lattices
• Absence of disordered Thouless pumps at finite frequency
• Reentrant topology and reverse pumping in a quasiperiodic flux ladder
• Quantum theory of fractional topological pumping of lattice solitons
• 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