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Colloquium – Enrico Rossi – Quantum Metric and Correlated States in Two-dimensional System
October 5, 2022 @ 3:30 pm - 5:00 pm
Speaker: Dr. Enrico Rossi (William and Mary)
Title: Quantum Metric and Correlated States in Two-dimensional System
In the past two decades some of the most interesting developments in condensed matter physics have resulted from the careful treatment of the effects of the Berry curvature in many-body systems. Exemplary is the discovery of topological insulators. The Berry curvature can be thought as the imaginary part of a complex tensor. The real part of this tensor is the quantum metric, the metric that can be used to measure the distance between quantum states belonging to a single electronic band. In this talk I will introduce the concept of quantum metric and show how it is related to properties of correlated electronic states. In particular, I will discuss how the quantum metric contributes to the superfluid density of superconductors, and exciton condensates. I will then show the importance played by the quantum metric in determining the superconducting properties of systems like twisted bilayer-graphene.