- Letter
- Open Access
Selective branching and converting of topological modes
Phys. Rev. Research 3, L032035 – Published 6 August, 2021
DOI: https://doi.org/10.1103/PhysRevResearch.3.L032035
Abstract
The existence of surface states is a salient feature of topological phases and many of the widely studied physical properties are directly tied to it. Although less explored, a variety of topological phases can be similarly distinguished by their response to localized flux defects, resulting in the binding of modes whose stability can be traced back to that of conventional edge states. The reduced dimensionality of these objects offers the possibility of arranging them in distinct geometries, such as arrays that branch or terminate in the bulk. We show that the prospect of hybridizing the modes in these kinds of channels results in new opportunities in a dynamical context. In particular, we find that certain branches of junctions of such extended defect arrays can be actively biased by manipulating initial conditions. Discussing these physical effects within a generally applicable framework that relates to a variety of established artificial topological materials, such as spring-mass setups and LC circuits, our results offer an avenue to explore and manipulate new transport effects that are rooted in the topological characterization of the underlying system.
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- This intensity is almost local energy. However, in the system described by Eq. (2), the elastic or charging energy is stored on the bonds rather than the sites. We introduce Eq. (2) for conceptual simplicity, since it only requires information from a single site.
- See Supplemental Materials at http://link.aps.org/supplemental/10.1103/PhysRevResearch.3.L032035 for the numerical details, the derivation of an effective model, the phase shift effects, the introduction of the quench and termination setup, a detailed treatment of the robustness of the effects, and an analytical treatment of the coupling of edge and branch modes.
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