Computational study on 2D Hubbard model

The Hubbard model is an iconic model in quantum many-body physics and has been intensely studied, especially since the discovery of high-temperature cuprate superconductors. Thanks to the development of computational methods, highly accurate simulations of correlated electron systems have become possible. In this talk, I will introduce recent progress in computational studies of the 2D Hubbard model, which exhibits interesting phases and competing orders, such as charge and spin density waves appearing in so-called stripe states, coexisting or competing with superconducting order. I will also discuss our recent work, where we found superconductivity in both the electron- and hole-doped regimes, along with the coexistence of superconductivity and partially filled stripes in the Hubbard model.