Large cluster DCA study of the Mott metal-insulator transition in two dimensions

The problem of the Mott metal-insulator transition (MIT) in the 2D Hubbard model has recently come under renewed scrutiny. In particular, the fate of the Mott MIT in the presence of long-range nonlocal spatial correlations remains unclear. With recent advances in numerical tools, it has been shown that non-local spatial effects are very strong in this system, and neglecting them may dramatically modify the phase diagram of MIT. With high-performance computing and advanced numerical methods, we access large system sizes and low temperatures to perform detailed large cluster calculations of the Mott MIT in 2D Hubbard model using DCA. We observe a very strong cluster size dependence of the phase boundaries of the Mott MIT, consistent with the recent Quantum Monte Carlo results.