Bulletin of the American Physical Society
APS March Meeting 2022
Volume 67, Number 3
Monday–Friday, March 14–18, 2022; Chicago
Session N26: Nanostructures and Metamaterials II
11:30 AM–2:30 PM,
Wednesday, March 16, 2022
Room: McCormick Place W-187B
Sponsoring
Units:
DMP DCMP
Chair: Leena Singh, Los Alamos National Laboratory
Abstract: N26.00002 : Systematic design of topological metamaterials by symmetry relaxation*
11:42 AM–11:54 AM
Presenter:
Cyrill Bösch
(ETH Zurich)
Authors:
Cyrill Bösch
(ETH Zurich)
Frank Schindler
(Princeton University)
Andreas Fichtner
(ETH Zurich)
Tena Dubcek
(ETH Zurich)
Marc Serra Garcia
(AMOLF)
The robustness of metamaterial properties that have a topological origin is both theoretically interesting as well as a promising feature for practical applications. However, it represents a challenge when looking for a new topological configuration of the metamaterial: small perturbations cannot be used to identify the direction of change of the topological indices. The method we present overcomes this challenge by breaking the symmetries which protect the topology. This causes the topological indices to become smooth, i.e. non-quantized and differentiable functions of the system parameters. Exploiting the differentiability, we compute gradients that indicate the direction of growth of the smoothed topological index. Following the gradients, we are able to identify the topological configuration.
We successively apply the method to conventional and higher order topological systems as well as to tight binding and continuously parametrized models.
*ERC (Grant Agreements No. 694407 and No. 714069)ETH Zurich Postdoctoral Fellowship programSwiss National Science Foundation (Grant No. 200021_169061)
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