Correlation-Assisted Quantized Charge Pumping

Abstract

We investigate charge pumping in the vicinity of order-obstructed topological phases, i.e. symmetry protected topological phases masked by spontaneous symmetry breaking in the presence of strong correlations. To explore this, we study a prototypical Su-Schrieffer-Heeger model with finite-range interaction that gives rise to orbital charge density wave order, and characterize the impact of this order on the model's topological properties. In the ordered phase, where the many-body topological invariant loses quantization, we find that not only is quantized charge pumping still possible, but it is even assisted by the collective nature of the orbital charge density wave order. Remarkably, we show that the Thouless pump scenario may be used to uncover the underlying topology of order-obstructed phases.

arXiv comment5 pages + supplemental material

References in corpus (42)

• Topological Insulators
• Topological insulators and superconductors
• Quantum Spin Hall Insulator State in HgTe Quantum Wells
• Experimental Observation of the Quantum Anomalous Hall Effect in a Magnetic Topological Insulator
• Topological Field Theory of Time-Reversal Invariant Insulators
• The density-matrix renormalization group
• Novel Symmetry Classes in Mesoscopic Normal-Superconducting Hybrid Structures
• Entanglement Spectrum as a Generalization of Entanglement Entropy: Identification of Topological Order in Non-Abelian Fractional Quantum Hall Effect States
• Entanglement spectrum of a topological phase in one dimension
• Symmetry protected topological orders and the group cohomology of their symmetry group
• Time Reversal Polarization and a Z_2 Adiabatic Spin Pump
• Zoo of quantum-topological phases of matter
• Topological phases of fermions in one dimension
• The Quantum-Mechanical Position Operator in Extended Systems
• Topological Quantum Matter with Ultracold Gases in Optical Lattices
• A Thouless Quantum Pump with Ultracold Bosonic Atoms in an Optical Superlattice
• Topological Thouless Pumping of Ultracold Fermions
• Tunable gauge potential for neutral and spinless particles in driven lattices
• Experimental reconstruction of the Berry curvature in a topological Bloch band
• Correlation Effects in Quantum Spin-Hall Insulators: A Quantum Monte Carlo Study
• Entanglement entropy and the Berry phase in solid states
• Exploring Interacting Topological Insulators with Ultracold Atoms: the Synthetic Creutz-Hubbard Model
• First order character and observable signatures of topological quantum phase transitions
• Probing the topology of density matrices
• Topology of one dimensional quantum systems out of equilibrium
• Semi-synthetic zigzag optical lattice for ultracold bosons
• Topological charge pumping in the interacting bosonic Rice-Mele model
• Fluctuation-induced Topological Quantum Phase Transitions in Quantum Spin Hall and Quantum Anomalous Hall Insulators
• Interacting Weyl semimetals: characterization via the topological Hamiltonian and its breakdown
• Flux insertion, entanglement, and quantized responses
• Symmetry-Breaking Topological Insulators in the ${\mathbb{Z}}_2$ Bose-Hubbard Model
• Fractional quantization of the topological charge pumping in a one-dimensional superlattice
• Multihole edge states in Su-Schrieffer-Heeger chains with interactions
• Intertwined Topological Phases induced by Emergent Symmetry Protection
• Finite-size corrections to quantized particle transport in topological charge pumps
• Topological polarons, quasiparticle invariants and their detection in 1D symmetry-protected phases
• Loading Ultracold Gases in Topological Floquet Bands: Current and Center-of-Mass Responses
• Topological invariants for the Haldane phase of interacting SSH chains -- a functional RG approach
• SSH model with long-range hoppings: topology, driving and disorder
• Spontaneous Parity Violation in a Quantum Spin Chain
• Interaction driven polarization shift in the $t-V-V^{\prime }$ lattice fermion model at half filling: emergent Haldane phase
• Dynamical Equilibration of Topological Properties

Cited by in corpus (7)

• Effect of disorder on topological charge pumping in the Rice-Mele model
• Quantized Topological Anderson-Thouless Pump
• Stabilization of Hubbard-Thouless pumps through nonlocal fermionic repulsion
• Topological invariants for interacting systems: from twisted boundary condition to center-of-mass momentum
• Quantized Thouless pumps protected by interactions in dimerized Rydberg tweezer arrays
• Finite-temperature topological invariant for higher-order topological insulators
• Dynamical signatures of symmetry protected topology following symmetry breaking