Robustness of the pumping charge to dynamic disorder

Abstract

We investigate the effect of disorder on a gapped crystalline system by introducing a class of local quantities for an energy band, which is referred as to band correlation function (BCF) and is the sum of correlation functions for all eigenstates of the band. We show that the BCFs are robust in the presence of disorder if the band gap is not collapse. The eigenstate set of an energy band can be almost completely mapped onto the perturbated eigenstate set, referred as to quasi-closed mapping, when it is sufficiently isolated from other bands. Some features relate to translational symmetry may emerge in a randomly perturbed system. We demonstrate this by simulating numerically the pumping process for a 1D Rice-Mele (RM) model with disorders on the hopping strength and on-site potential. It is shown that the quantized pumping charge is robust against with the dynamic disorder. This result indicates the possibility of measuring the topological invariant in experimental system with imperfection.

References in corpus (34)

• Topological Insulators
• Topological insulators and superconductors
• Quantum Spin Hall Effect in Graphene
• Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells
• Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
• Berry Phase Effects on Electronic Properties
• Unpaired Majorana fermions in quantum wires
• Topological Insulators in Three Dimensions
• Weyl and Dirac Semimetals in Three Dimensional Solids
• Topological Insulators with Inversion Symmetry
• Classification of topological insulators and superconductors in three spatial dimensions
• Classification of topological quantum matter with symmetries
• Discovery of a Three-dimensional Topological Dirac Semimetal, Na3Bi
• Topological insulators and superconductors: ten-fold way and dimensional hierarchy
• Weyl Semimetal in a Topological Insulator Multilayer
• Dirac semimetal and topological phase transitions in A3Bi (A=Na, K, Rb)
• Dirac semimetal in three dimensions
• Three Dimensional Dirac Semimetal and Quantum Transports in Cd3As2
• Chern semi-metal and Quantized Anomalous Hall Effect in HgCr2Se4
• Weyl semimetal phase in non-centrosymmetric transition metal monophosphides
• Experimental observation of Weyl points
• Direct Measurement of the Zak phase in Topological Bloch Bands
• Creating, moving and merging Dirac points with a Fermi gas in a tunable honeycomb lattice
• Topological Origin of Zero-Energy Edge States in Particle-Hole Symmetric Systems
• Spin Hall Insulator
• The strong side of weak topological insulators
• Topological Insulators in Random Lattices
• Anomalous Topological Phases and Unpaired Dirac Cones in Photonic Floquet Topological Insulators
• Lattice models with exactly solvable topological hinge and corner states
• Statistical Topological Insulators
• Majorana Modes in Driven-Dissipative Atomic Superfluids With Zero Chern Number
• Bulk-edge correspondence in topological pumping
• Dynamical topological invariant for non-Hermitian Rice-Mele model
• Dynamical bulk-edge correspondence for nodal lines in parameter space

Cited by in corpus (9)

• Thouless pumping and topology
• Effect of disorder on topological charge pumping in the Rice-Mele model
• Splitting of topological charge pumping in an interacting two-component fermionic Rice-Mele Hubbard model
• Phonon-induced breakdown of Thouless pumping in the Rice-Mele-Holstein model
• Quantum mold casting for topological insulating and edge states
• Thouless pumping in Josephson junction arrays
• Characterizing quantum gases in time-controlled disorder realizations using cross-correlations of density distributions
• Absence of disordered Thouless pumps at finite frequency
• A symmetry-protected topological optical lattice clock