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A topological pump enables robust transport of quantized particles when the system parameters are varied in a cyclic process. In previous studies, topological pump was achieved inhomogeneous systems guaranteed by a topological invariant of the bulk band structure when time is included as an additional synthetic dimension. Recently, bulk-boundary correspondence has been generalized to the bulk-disclination correspondence, describing the emergence of topological bounded states in the crystallographic defects protected by the bulk topology. Here we show the topological pumping can happen between different disclination states with different chiralities in an inhomogeneous structure. Based on a generalized understanding of the charge pumping process, we explain the topological disclination pump by tracing the motion of Wannier centers in each unit cell. Besides, by constructing two disclination structures and introducing a symmetry-breaking perturbation, we achieve a topological pumping between different dislocation cores. Our result opens a route to study the topological pumping in inhomogeneous topological crystalline systems and provides a flexible platform for robust energy transport.
We explore adiabatic pumping in the presence of periodic drive, finding a new phase in which the topologically quantized pumped quantity is energy rather than charge. The topological invariant is given by the winding number of the micromotion with re
A seminal gedankenexperiment by Laughlin describes the charge transport in quantum Hall systems via the pumping of flux. Here, we propose an optical scheme which probes and manipulates quantum Hall systems in a similar way: When light containing orbi
Robust fractional charge localized at disclination defects has been recently found as a topological response in $C_{6}$ symmetric 2D topological crystalline insulators (TCIs). In this article, we thoroughly investigate the fractional charge on discli
The recently discovered three dimensional or bulk topological insulators are expected to exhibit exotic quantum phenomena. It is believed that a trivial insulator can be twisted into a topological state by modulating the spin-orbit interaction or the crystal lattice via odd number of band
We investigate the fate of topological states on fractal lattices. Focusing on a spinless chiral p-wave paired superconductor, we find that this model supports two qualitatively distinct phases when defined on a Sierpinski gasket. While the trivial p