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The twig edge states in graphene‐like structures are viewed as the fourth states complementary to their zigzag, bearded, and armchair counterparts. In this work, a rod‐in‐plasma system in a honeycomb lattice with twig edge truncation under external magnetic fields and lattice scaling is studied and it is shown that twig edge states can exist in different phases of the system, such as quantum Hall (QH) phase, quantum spin Hall (QSH) phase, and insulating phase. The twig edge states in the negative permittivity background exhibit robust one‐way transmission properties immune to backscattering and thus provide a novel avenue for solving the plasma communication blackout problem. Moreover, it is demonstrated that corner and edge states can exist within the shrunken structure by modulating the on‐site potential of the twig edges. Especially, helical edge states with the unique feature of pseudospin‐momentum locking that can be excited by chiral sources are demonstrated at the twig edges. These results show that the twig edges and interface engineering can bring new opportunities for more flexible manipulation of electromagnetic waves. [ABSTRACT FROM AUTHOR]

The fabrication of devices that integrate two or more topological states simultaneously and achieve precise control over their edge state and interface states holds paramount importance. We report the quantized edge-channel transport and spin-polarized interface states in folded graphene ribbons under a magnetic field and predict that fully spin-polarized states can be generated at the interface. Our results also suggest that the system has the potential to exhibit the quantum spin Hall phase, the quantum Hall phase, and a coexistence of both phases. These phases can be manipulated by applying a bias potential and Zeeman splitting. Furthermore, the quantized conductance demonstrates a plateau at 3e2/h, which can be attributed to the presence of fully spin-polarized states. These outcomes provide a foundation for future explorations and manipulations of this novel form of edge-channel transport.

The fabrication of devices that integrate two or more topological states simultaneously and achieve precise control over their edge state and interface states holds paramount importance. We report the quantized edge-channel transport and spin-polarized interface states in folded graphene ribbons under a magnetic field and predict that fully spin-polarized states can be generated at the interface. Our results also suggest that the system has the potential to exhibit the quantum spin Hall phase, the quantum Hall phase, and a coexistence of both phases. These phases can be manipulated by applying a bias potential and Zeeman splitting. Furthermore, the quantized conductance demonstrates a plateau at 3 e 2 / h , which can be attributed to the presence of fully spin-polarized states. These outcomes provide a foundation for future explorations and manipulations of this novel form of edge-channel transport. [ABSTRACT FROM AUTHOR]