Topological Insulators by Topology Optimization

Rasmus E. Christiansen*, Fengwen Wang, Ole Sigmund

*Corresponding author for this work

Research output: Contribution to journalJournal articleResearchpeer-review

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Abstract

An acoustic topological insulator (TI) is synthesized using topology optimization, a free material inverse design method. The TI appears spontaneously from the optimization process without imposing explicit requirements on the existence of pseudospin-1/2 states at the TI interface edge, or the Chern number of the topological phases. The resulting TI is passive, consisting of acoustically hard members placed in an air background and has an operational bandwidth of ≈12.5% showing high transmission. Further analysis demonstrates confinement of more than 99% of the total field intensity in the TI within at most six lattice constants from the TI interface. The proposed design hereby outperforms a reference from recent literature regarding energy transmission, field confinement, and operational bandwidth.
Original languageEnglish
Article number234502
JournalPhysical Review Letters
Volume122
Issue number23
Number of pages6
ISSN0031-9007
DOIs
Publication statusPublished - 2019

Cite this

@article{9196459b3acd4ad6a803b90892bd4aa4,
title = "Topological Insulators by Topology Optimization",
abstract = "An acoustic topological insulator (TI) is synthesized using topology optimization, a free material inverse design method. The TI appears spontaneously from the optimization process without imposing explicit requirements on the existence of pseudospin-1/2 states at the TI interface edge, or the Chern number of the topological phases. The resulting TI is passive, consisting of acoustically hard members placed in an air background and has an operational bandwidth of ≈12.5{\%} showing high transmission. Further analysis demonstrates confinement of more than 99{\%} of the total field intensity in the TI within at most six lattice constants from the TI interface. The proposed design hereby outperforms a reference from recent literature regarding energy transmission, field confinement, and operational bandwidth.",
author = "Christiansen, {Rasmus E.} and Fengwen Wang and Ole Sigmund",
year = "2019",
doi = "10.1103/PhysRevLett.122.234502",
language = "English",
volume = "122",
journal = "Physical Review Letters",
issn = "0031-9007",
publisher = "American Physical Society",
number = "23",

}

Topological Insulators by Topology Optimization. / Christiansen, Rasmus E.; Wang, Fengwen; Sigmund, Ole.

In: Physical Review Letters, Vol. 122, No. 23, 234502, 2019.

Research output: Contribution to journalJournal articleResearchpeer-review

TY - JOUR

T1 - Topological Insulators by Topology Optimization

AU - Christiansen, Rasmus E.

AU - Wang, Fengwen

AU - Sigmund, Ole

PY - 2019

Y1 - 2019

N2 - An acoustic topological insulator (TI) is synthesized using topology optimization, a free material inverse design method. The TI appears spontaneously from the optimization process without imposing explicit requirements on the existence of pseudospin-1/2 states at the TI interface edge, or the Chern number of the topological phases. The resulting TI is passive, consisting of acoustically hard members placed in an air background and has an operational bandwidth of ≈12.5% showing high transmission. Further analysis demonstrates confinement of more than 99% of the total field intensity in the TI within at most six lattice constants from the TI interface. The proposed design hereby outperforms a reference from recent literature regarding energy transmission, field confinement, and operational bandwidth.

AB - An acoustic topological insulator (TI) is synthesized using topology optimization, a free material inverse design method. The TI appears spontaneously from the optimization process without imposing explicit requirements on the existence of pseudospin-1/2 states at the TI interface edge, or the Chern number of the topological phases. The resulting TI is passive, consisting of acoustically hard members placed in an air background and has an operational bandwidth of ≈12.5% showing high transmission. Further analysis demonstrates confinement of more than 99% of the total field intensity in the TI within at most six lattice constants from the TI interface. The proposed design hereby outperforms a reference from recent literature regarding energy transmission, field confinement, and operational bandwidth.

U2 - 10.1103/PhysRevLett.122.234502

DO - 10.1103/PhysRevLett.122.234502

M3 - Journal article

VL - 122

JO - Physical Review Letters

JF - Physical Review Letters

SN - 0031-9007

IS - 23

M1 - 234502

ER -