# Boundary edge networks induced by bulk topology

## Abstract

We introduce an effective edge network theory to characterize the boundary topology of coupled edge states generated from various types of topological insulators. Two examples studied are a two-dimensional second-order topological insulator and three-dimensional topological fullerenes, which involve multileg junctions. As a consequence of bulk-edge correspondence, these edge networks can faithfully predict properties such as the energy and fractional charge related to the bound states (edge solitons) in the aforementioned systems, including several aspects that were previously complicated or obscure.

- Authors:

- Publication Date:

- Research Org.:
- Energy Frontier Research Centers (EFRC) (United States). Center for Novel Pathways to Quantum Coherence in Materials (NPQC); Univ. of California, Oakland, CA (United States)

- Sponsoring Org.:
- USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22)

- OSTI Identifier:
- 1566690

- DOE Contract Number:
- AC02-05CH11231

- Resource Type:
- Journal Article

- Journal Name:
- Physical Review B

- Additional Journal Information:
- Journal Volume: 99; Journal Issue: 15; Journal ID: ISSN 2469-9950

- Publisher:
- American Physical Society (APS)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- optics, defects, charge transport, superconductivity, magnetism and spin physics, quantum information science

### Citation Formats

```
Wang, Yan-Qi, and Moore, Joel E.
```*Boundary edge networks induced by bulk topology*. United States: N. p., 2019.
Web. doi:10.1103/physrevb.99.155102.

```
Wang, Yan-Qi, & Moore, Joel E.
```*Boundary edge networks induced by bulk topology*. United States. doi:10.1103/physrevb.99.155102.

```
Wang, Yan-Qi, and Moore, Joel E. Mon .
"Boundary edge networks induced by bulk topology". United States. doi:10.1103/physrevb.99.155102.
```

```
@article{osti_1566690,
```

title = {Boundary edge networks induced by bulk topology},

author = {Wang, Yan-Qi and Moore, Joel E.},

abstractNote = {We introduce an effective edge network theory to characterize the boundary topology of coupled edge states generated from various types of topological insulators. Two examples studied are a two-dimensional second-order topological insulator and three-dimensional topological fullerenes, which involve multileg junctions. As a consequence of bulk-edge correspondence, these edge networks can faithfully predict properties such as the energy and fractional charge related to the bound states (edge solitons) in the aforementioned systems, including several aspects that were previously complicated or obscure.},

doi = {10.1103/physrevb.99.155102},

journal = {Physical Review B},

issn = {2469-9950},

number = 15,

volume = 99,

place = {United States},

year = {2019},

month = {4}

}

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Works referenced in this record:

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