exponential localization
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Soft Matter ◽  
2021 ◽  
Vol 17 (38) ◽  
pp. 8624-8641
Author(s):  
Harry Liu ◽  
Di Zhou ◽  
Leyou Zhang ◽  
David K. Lubensky ◽  
Xiaoming Mao

We find mechanical topological phases in models of epithelial tissues with active tension on cell edges, where soft modes and stress distribution exhibit exponential localization to edges and interfaces of tissues.


Science ◽  
2020 ◽  
Vol 368 (6488) ◽  
pp. 311-314 ◽  
Author(s):  
Sebastian Weidemann ◽  
Mark Kremer ◽  
Tobias Helbig ◽  
Tobias Hofmann ◽  
Alexander Stegmaier ◽  
...  

Dissipation is a general feature of non-Hermitian systems. But rather than being an unavoidable nuisance, non-Hermiticity can be precisely controlled and hence used for sophisticated applications, such as optical sensors with enhanced sensitivity. In our work, we implement a non-Hermitian photonic mesh lattice by tailoring the anisotropy of the nearest-neighbor coupling. The appearance of an interface results in a complete collapse of the entire eigenmode spectrum, leading to an exponential localization of all modes at the interface. As a consequence, any light field within the lattice travels toward this interface, irrespective of its shape and input position. On the basis of this topological phenomenon, called the “non-Hermitian skin effect,” we demonstrate a highly efficient funnel for light.


2018 ◽  
Vol 359 (2) ◽  
pp. 429-448 ◽  
Author(s):  
Evans M. Harrell ◽  
Anna V. Maltsev

2014 ◽  
Vol 61 (16) ◽  
pp. 1318-1323 ◽  
Author(s):  
Kashif Ammar Yasir ◽  
Muhammad Ayub ◽  
Farhan Saif

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