Higher-order topological insulators and superconductors and beyond

CFM Seminars

Luka Trifunovic, University of Zurich, Switzerland
Centro de Fisica de Materiales, Auditorium
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Higher-order topological insulators and superconductors and beyond Not so long ago, the concept of higher-order topological insulators and superconductors was mentioned for the first time in print (see Viewpoint [1]). Since then, the concept of higher-order topology has been recognized to be key for the description of boundary phenomenology of topological crystalline insulators and superconductors. Although higher-order boundary phenomenology can exist without a topologically nontrivial bulk band structure, recent excitement stems from the observation that it can also be a consequence of (and protected by) nontrivial bulk topology if additional crystalline symmetries are present. In this picture, higher-order topological phases are not a new kind of topological phases, rather they are a new type of boundary manifestation of nontrivial bulk topology. In this talk, I will introduce extrinsic and intrinsic higher-order boundary phenomenology and discuss both bulk and boundary topological classification. A new type of bulk-boundary correspondence that naturally includes a higher- order boundary phenomenology will be also discussed [2]. [1] https://physics.aps.org/articles/v10/132 [2] L Trifunovic, PW Brouwer, physica status solidi (b) 258 (1), 2000090 (2021) Host: Ivo Souza