Effect of a Magnetic Field on Mott-Hubbard Systems: A Dynamical Mean-Field Theory Study

The dynamic mean-field theory (DMFT) is the most successful method~to study strongly correlated electron systems in dimensions higher than one.~~As the impurity problem of DMFT is one-dimensional, it is~available to solve it using density matrix renormalization group (DMRG). Motivated by this idea, we~develop a systematical tool combining DMFT and DMRG, which is expected to provide an efficient,~precise and controlled way to solve DMFT problems with multiorbitals on the real frequency axis with~feasible extensions to problems with more bands. As a concrete example, we study the magnetic field dependent dynamical properties of the two-dimensional Hubbard model on the Bethe lattice. The field dependence of the magnetization, one-particle response function and susceptibility are studied. The corresponding phase transition between metal and Mott insulator is also discussed. ~