Topological Patterns

Prodan, Emil

Title:

Topological Patterns

dc.contributor.author	Prodan, Emil
dc.contributor.corporatename	Georgia Institute of Technology. Center for the Science and Technology of Advanced Materials and Interfaces	en_US
dc.contributor.corporatename	Yeshiva University	en_US
dc.date.accessioned	2018-06-20T19:37:47Z
dc.date.available	2018-06-20T19:37:47Z
dc.date.issued	2018-05-14
dc.description	Presented at the Workshop on Topological Protection in Messy Matter on May 14, 2018 at 11:00 a.m.-11:40 a.m. in the Marcus Nanotechnology Building, Rooms 1116-1118, Georgia Tech.	en_US
dc.description	Chair: Zeb Rocklin	en_US
dc.description	Emil Prodan is with Yeshiva University.	en_US
dc.description	Runtime: 43:46 minutes	en_US
dc.description.abstract	The research in topological materials and meta-materials reached maturity and is now gradually entering the phase of practical applications and devices. However, scaling down the experimental demonstrations definitely presents a challenge. In this work, we study coupled identical resonators whose collective dynamics is fully determined by the pattern in which the resonators are arranged. We call a pattern topological if boundary resonant modes fully fill all existing spectral gaps whenever the pattern is halved. This is a characteristic of the pattern and is entirely independent of the structure of the resonators and the details of the couplings. Existence of such patterns is proven using $K$-theory and exemplified using a novel experimental platform based on magnetically coupled spinners. Topological meta-materials built on these principles can be easily engineered at any scale, providing a practical platform for applications and devices.	en_US
dc.format.extent	43:46 minutes
dc.identifier.uri	http://hdl.handle.net/1853/60033
dc.language.iso	en_US	en_US
dc.publisher	Georgia Institute of Technology	en_US
dc.relation.ispartofseries	Workshop on Topological Protection in Messy Matter	en_US
dc.subject	Resonators	en_US
dc.subject	Topology	en_US
dc.title	Topological Patterns	en_US
dc.type	Moving Image
dc.type.genre	Lecture
dspace.entity.type	Publication
local.contributor.corporatename	Community for Research on Active Surfaces and Interfaces
local.contributor.corporatename	Center for the Science and Technology of Advanced Materials and Interfaces
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relation.isOrgUnitOfPublication	a21b130a-9b72-4c0c-b82d-22f981aa1d12