Coexistence of Multiple Distinct Corner-State Classes via Nearest-Neighbor Couplings Alone

Abstract

The coexistence of multiple classes of localized states, including different types of topological corner states, is highly desired; yet its realization typically requires sufficiently strong long-range couplings, bringing challenges to experimental realizations across a wide range of systems. Here, we demonstrate the emergence of multiple localized corner modes evolution under purely nearest-neighbor coupling conditions without long-range couplings, not even next-nearest-neighbour couplings, and experimentally confirm their coexistence in a single lattice. Our platform simultaneously hosts type-I and type-II corner states, corner localized bound states in the continuum, flat-band states, and edge states. We experimentally realize such lattice using topolectrical circuits, a system that can strictly exclude long-range coupling by design, enabling direct characterizations of both the energy-band spectrum and the spatial profiles of the localized eigenmode. This work demonstrates that solely modifying nearest-neighbor couplings can replace the role of long-range interactions in realizing multiple types of corner states, providing a deterministic and widely accessible route to multiple corner-state classes and rich localized states, with immediate potential for mode-division multiplexing and multimode topological devices.

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BibTeX RIS

BibTeX

@misc{su2026coexistence,
  title = {{Coexistence of Multiple Distinct Corner-State Classes via Nearest-Neighbor Couplings Alone}},
  author = {Luhong Su and Dongyi Wang and Shenglong Guo and Xinjiang Chen and Lei Zhou and Shaojie Ma and Mengyao Li},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.15727},
  eprint = {2610.15727},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.15727},
}

RIS

TY  - UNPB
TI  - Coexistence of Multiple Distinct Corner-State Classes via Nearest-Neighbor Couplings Alone
AU  - Luhong Su
AU  - Dongyi Wang
AU  - Shenglong Guo
AU  - Xinjiang Chen
AU  - Lei Zhou
AU  - Shaojie Ma
AU  - Mengyao Li
PY  - 2026
DA  - 2026/10/11
PB  - arXiv
DO  - 10.48550/arxiv.2610.15727
UR  - https://arxiv.org/abs/2610.15727
AB  - The coexistence of multiple classes of localized states, including different types of topological corner states, is highly desired; yet its realization typically requires sufficiently strong long-range couplings, bringing challenges to experimental realizations across a wide range of systems. Here, we demonstrate the emergence of multiple localized corner modes evolution under purely nearest-neighbor coupling conditions without long-range couplings, not even next-nearest-neighbour couplings, and experimentally confirm their coexistence in a single lattice. Our platform simultaneously hosts type-I and type-II corner states, corner localized bound states in the continuum, flat-band states, and edge states. We experimentally realize such lattice using topolectrical circuits, a system that can strictly exclude long-range coupling by design, enabling direct characterizations of both the energy-band spectrum and the spatial profiles of the localized eigenmode. This work demonstrates that solely modifying nearest-neighbor couplings can replace the role of long-range interactions in realizing multiple types of corner states, providing a deterministic and widely accessible route to multiple corner-state classes and rich localized states, with immediate potential for mode-division multiplexing and multimode topological devices.
ER  -

Abstract

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