# Special Seminar: Grassmann tensor product state approach and the emergence of topological superconductivity in 2D strongly correlated doped Dirac systems

## Main Content

Searching for p+ip topological superconducting (SC) state has become a fascinating subject in condensed matter physics, as a dream application awaits in topological quantum computation. In this talk, I will report the theoretical discovery of a p+ip SC ground state (coexisting with ferromagnetic order) in honeycomb lattice Hubbard model with infinite repulsive interaction at low doping(< 0.2), by using both the state-of-art Grassmann tensor product state(GTPS) approach and a quantum field theory approach. Our discovery suggests a new mechanism for p+ip SC state in generic strongly correlated systems and opens a new door towards experimental realization. The p+ip SC state has an instability towards a potential non-Fermi liquid below a large but finite U; however, a small in-plane Zeeman field stabilizes the p+ip SC state. Relevant realistic materials are also proposed. Finally, I will mention some unpublished results for the global phase diagram of honeycomb lattice Hubbard model.