Spectrum of Entanglement as a Dimensional Reduction Tool for Studying Topological Insulators

Explore a 42-minute conference talk from the Workshop on Strong Electron Correlations in Quantum Materials, focusing on the spectrum of entanglement as a dimensional reduction tool for studying topological insulators. Delve into the key concepts presented by Eduardo Novais from Universidade Federal do ABC, including topological phases of matter, interactions in topological insulators, and the Haldane model. Examine the speaker's approach to introducing interactions, the general "N-body" solution to boundary operators, and the spectrum of entanglement in relation to the ground state of full wave functions. Gain insights into the Kane and Mele model and understand how the presentation comes full circle in its exploration of strong electron correlations in quantum materials.

Workshop on Strong Electron Correlations in
Happy birthday, Eduardo!
The original motivation to this work
Topological phases of matter
What about interactions or disorder?
Key concept of the talk
Introducing interactions in Topological insulators
Another name for the seminar: "A Haldane's Tale"
Hard Wall Boundary
General "N-body" solution to boundary operators
The spectrum of entanglement - ground state of full wave function
The Haldane Model
Kane and Mele model
Conclusions / Summary
I came full circle...