Scholars@Duke

EDGE STATE DYNAMICS ALONG CURVED INTERFACES

Publication ,  Journal Article
Bal, G; Becker, S; Drouot, A; Kammerer, CF; Lu, J; Watson, AB
Published in: SIAM Journal on Mathematical Analysis
January 1, 2023
Published version (DOI)

We study the propagation of wavepackets along weakly curved interfaces between topologically distinct media. Our Hamiltonian is an adiabatic modulation of Dirac operators omnipresent in the topological insulators literature. Using explicit formulas for straight edges, we construct a family of solutions that propagates, for long times, unidirectionally and dispersion-free along the curved edge. We illustrate our results through various numerical simulations.

Duke Scholars

Jianfeng Lu
Author Jianfeng Lu Mathematics

Published In

SIAM Journal on Mathematical Analysis

DOI

10.1137/22M1489708

EISSN

1095-7154

ISSN

0036-1410

Publication Date

January 1, 2023

Volume

55

Issue

5

Start / End Page

4219 / 4254

Related Subject Headings

  • Applied Mathematics
  • 4904 Pure mathematics
  • 4901 Applied mathematics
  • 0102 Applied Mathematics
  • 0101 Pure Mathematics
 

Citation

APA
Chicago
ICMJE
MLA
NLM
Bal, G., Becker, S., Drouot, A., Kammerer, C. F., Lu, J., & Watson, A. B. (2023). EDGE STATE DYNAMICS ALONG CURVED INTERFACES. SIAM Journal on Mathematical Analysis, 55(5), 4219–4254. https://doi.org/10.1137/22M1489708
Bal, G., S. Becker, A. Drouot, C. F. Kammerer, J. Lu, and A. B. Watson. “EDGE STATE DYNAMICS ALONG CURVED INTERFACES.” SIAM Journal on Mathematical Analysis 55, no. 5 (January 1, 2023): 4219–54. https://doi.org/10.1137/22M1489708.
Bal G, Becker S, Drouot A, Kammerer CF, Lu J, Watson AB. EDGE STATE DYNAMICS ALONG CURVED INTERFACES. SIAM Journal on Mathematical Analysis. 2023 Jan 1;55(5):4219–54.
Bal, G., et al. “EDGE STATE DYNAMICS ALONG CURVED INTERFACES.” SIAM Journal on Mathematical Analysis, vol. 55, no. 5, Jan. 2023, pp. 4219–54. Scopus, doi:10.1137/22M1489708.
Bal G, Becker S, Drouot A, Kammerer CF, Lu J, Watson AB. EDGE STATE DYNAMICS ALONG CURVED INTERFACES. SIAM Journal on Mathematical Analysis. 2023 Jan 1;55(5):4219–4254.

Published In

SIAM Journal on Mathematical Analysis

DOI

10.1137/22M1489708

EISSN

1095-7154

ISSN

0036-1410

Publication Date

January 1, 2023

Volume

55

Issue

5

Start / End Page

4219 / 4254

Related Subject Headings

  • Applied Mathematics
  • 4904 Pure mathematics
  • 4901 Applied mathematics
  • 0102 Applied Mathematics
  • 0101 Pure Mathematics