Seminar By Donna Sheng, California State University, Northridge

Title: Topological Chiral Superconductivity in the Triangular-Lattice Hofstadter-Hubbard Model

Series: Condensed Matter Sciences Seminar

Host: Cyprian Lewandowski

Abstract: Moir`e materials provide exciting platforms for studying the interplay of strong electronic correlation and band topology. In this talk, I will report our recent progress on identifying unconventional topological superconductivity for the lightly doped Hofstadter-Hubbard model on a triangular lattice. Based on large-scale density matrix renormalization group and tensor network simulations, we find strong evidence for a robust chiral superconducting (SC) phase with dominant power-law pairing correlations for finite cylinders, nonzero pairing orders for infinite 2D systems, and a quantized spin Chern number. The SC phase emerges at very weak interaction and grows stronger at intermediate interaction strengths (U ) for a wide range of hole doping. We also discuss theoretical insights into the emergence of topological superconductivity from doping topological Chern bands or chiral spin liquid states of Moir`e materials.