Giandomenico Palumbo

Universite’ Libre de Bruxelles

Novel aspects of topological matter: from Floquet-engineering nodal lines and nodal surfaces to higher-order topological insulators for doublons

In this talk, I will present some new results in topological matter, which has emerged as a novel paradigm in condensed matter physics during the last decades.

In the first part of the talk, I will describe a Floquet scheme by which nodal rings and nodal spheres can be realized in three-dimensional quantum matter through well-defined periodic-driving protocols. As a central result in this approach, I will characterize these topological defects through the quantum metric, which is a gauge-invariant and measurable quantity associated with the geometry of quantum states.

In the second part of the talk, I will introduce a novel framework by which genuine interaction-induced topological effects can be realized in quantum-engineered systems. This approach builds on the design of effective lattices for the center-of-mass motion of two-body bound states (doublons). This general scenario will be illustrated on several examples, where higher-order topological corner modes emerge from genuine interaction effects.