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Dynamical Mean Field Theory with the Density Matrix Renormalization Group

Daniel J. Garcia·Karen Hallberg·Marcelo J. Rozenberg
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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.

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Daniel J. Garcia, Karen Hallberg, Marcelo J. Rozenberg. 2004-03-05. Dynamical Mean Field Theory with the Density Matrix Renormalization Group. https://doi.org/10.1103/physrevlett.93.246403

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