Algorithms and applications of path-integral renormalization group method

Path-integral renormalization-group (PIRG) method is a rapidly developing tool for computing ground state properties of interacting quantum systems on lattices, particularly models for strongly correlated electrons such as the Hubbard model. It has served in clarifying phase diagrams of the Hubbard model containing quantum spin liquid phase. PIRG has also been implemented as a low-energy solver of the effective Hamiltonian for realistic systems. This makes it possible to construct a scheme of first-principles calculation by the hybrid approach combined with the density functional theory.