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Title: 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}
}

Works referenced in this record:

Z2 Topological Order and the Quantum Spin Hall Effect
journal, September 2005


Topological Insulators in Three Dimensions
journal, March 2007


Topological invariants of time-reversal-invariant band structures
journal, March 2007


Colloquium: Topological insulators
journal, November 2010