Generalized Peierls substitution for Wannier Obstructions: response to disorder and interaction

Date

Nov 11, 2025

Time

11:00 AM - 12:00 PM

Speaker

Dr. Shuai Chen

Affiliation

Max Planck Institute for the Physics of Complex Systems (MPI PKS) Dresden

Language

en

Main Topic

Materialien

Host

Grit Rötzer

Description

I will explore the interplay between quantum geometry, interactions, and external fields in complex band systems. When Wannier obstructions prevent a description based solely on atomic-like orbitals, it complicates the prediction of electromagnetic responses, particularly in the presence of disorder and interactions. To address this, we introduce a generalized Peierls substitution framework that incorporates Lagrange multipliers to enforce the constraints of Wannier obstruction in the band of interest. This framework enables us to derive effective descriptions of interactions and disorder, accounting for the non-trivial quantum geometry of the band. We apply this approach to various examples, including the diamagnetic response in flat-band superconductors and interaction-induced delocalization effects in flat-band metals. .

Links

• Seminars at the IFW

Last modified: Nov 11, 2025, 7:39:32 AM