Universality of the Topological Phase Transition in the Interacting Haldane Model

Explore the mathematical physics of topological phase transitions in this 45-minute conference lecture examining the interacting Haldane model on a hexagonal lattice. Delve into the rigorous analysis of electrons hopping under a transverse dipolar magnetic field, focusing on the critical transition between trivial and topological insulating phases. Learn how the transverse conductivity becomes quantized at half-integer multiples of e²/h at the dressed critical line, representing the average of Hall conductivity values from adjacent insulating phases. Discover the proof techniques combining constructive renormalization group methods with exact lattice Ward identities that establish the universality of phase transitions between different Hall plateaus with respect to many-body interactions. Gain insights into collaborative research spanning quantum many-body systems, condensed matter theory, and mathematical rigor in describing topological quantum states.