Dynamical Mean Field Theory with the Density Matrix Renormalization Group

Abstract

A new numerical method for the solution of the Dynamical Mean Field Theory's self-consistent equations is introduced. The method uses the Density Matrix Renormalization Group technique to solve the associated impurity problem. The new algorithm makes no a priori approximations and is only limited by the number of sites that can be considered. We obtain accurate estimates of the critical values of the metal-insulator transitions and provide evidence of substructure in the Hubbard bands of the correlated metal. With this algorithm, more complex models having a larger number of degrees of freedom can be considered and finite-size effects can be minimized.

5 pages, 4 figures

References in corpus (2)

• High Energy Dynamics of the Single Impurity Anderson Model
• Transport through quantum dots in mesoscopic circuits

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