PIRSA:20060020

Engineering and measuring higher-order topology

Piekhanov, K. (2020). Engineering and measuring higher-order topology. Perimeter Institute. https://pirsa.org/20060020

Piekhanov, Kirill. Engineering and measuring higher-order topology. Perimeter Institute, Jun. 09, 2020, https://pirsa.org/20060020 

          @misc{ pirsa_PIRSA:20060020,
            doi = {10.48660/20060020},
            url = {https://pirsa.org/20060020},
            author = {Piekhanov, Kirill},
            keywords = {Condensed Matter},
            language = {en},
            title = {Engineering and measuring higher-order topology},
            publisher = {Perimeter Institute},
            year = {2020},
            month = {jun},
            note = {PIRSA:20060020 see, \url{https://pirsa.org}}
          }

Kirill Piekhanov Universität Basel

DOI 10.48660/20060020
Collection
Talk Type Scientific Series
Subject

Abstract

Recently, a lot of attention has been dedicated to a novel class of topological systems, called higher-order topological insulators (TIs). The reason is that, while a conventional d-dimensional TI exhibits (d-1)-dimensional gapless boundary modes, a d-dimensional nth-order TI hosts gapless modes at its (d-n)-dimensional boundaries only, generalizing in this way the notion of bulk-boundary correspondence. In this talk I will show the results of our recent study of such systems in two and three dimensions. I will briefly describe a few specific proposals to engineer such systems in practice. I will also present a simple method which can be used to read out the resulting topological phase diagrams experimentally. I will conclude by saying why the higher-order TIs are promising to study the interplay of topology and interactions and how Machine learning can help us to better understand these novel topological states.