Transport features of topological corner states in honeycomb lattice with multihollow structure

Abstract

Higher-order topological phase in 2-dimensional (2D) systems is characterized by in-gap corner states, which are hard to detect and utilize. We numerically investigate transport properties of topological corner states in 2D honeycomb lattice, where the second-order topological phase is induced by an in-plane Zeeman field in the conventional Kane-Mele model. Through engineering multihollow structures with appropriate boundaries in honeycomb lattice, multiple corner states emerge, which greatly increases the probability to observe them. A typical two-probe setup is built to study the transport features of a diamond-shaped system with multihollow structures. Numerical results reveal the existence of global resonant states in bulk insulator, which corresponds to the resonant tunneling of multiple corner states and occupies the entire scattering region. Furthermore, based on the well separated energy levels of multiple corner states, a single-electron source is constructed.

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• Second-Order Topological Insulator in Two-Dimensional C2N and Its Derivatives
• Realization of valley-spin polarized current via parametric pump in monolayer $\mathrm{Mo}{\mathrm{S}}_2$
• Unified framework of the microscopic Landau-Lifshitz-Gilbert equation and its application to Skyrmion dynamics
• Bulk-boundary-transport correspondence of the second-order topological insulators
• Spin separation and filtering assisted by topological corner states in the Kekulé lattice
• Intrinsic higher-order topological states in 2D honeycomb Z_2 quantum spin Hall insulators