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Front. Phys. | doi: 10.3389/fphy.2018.00013

Solving the multi-site and multi-orbital Dynamical Mean Field Theory using Density Matrix Renormalization

  • 1Bariloche Atomic Centre, Argentina
  • 2Balseiro Institute, Argentina

We implement an efficient numerical method to calculate response functions of complex impurities based on the Density Matrix Renormalization Group (DMRG) and use it as the impurity-solver of the Dynamical Mean Field Theory (DMFT). This method uses the correction vector to obtain precise Green's functions on the real frequency axis at zero temperature. By using a self-consistent bath configuration with very low entanglement, we take full advantage of the DMRG to calculate dynamical response functions paving the way to treat large effective impurities such as those corresponding to multi-orbital interacting models and multi-site or multi-momenta clusters. This method leads to reliable calculations of non-local self energies at arbitrary dopings and interactions and at any energy scale.

Keywords: Density matrix renormalization group, Dynamical mean field theory, correlated electrons, Density of States, Multi-orbital models

Received: 20 Nov 2017; Accepted: 05 Feb 2018.

Edited by:

Gerardo Ortiz, Indiana University Bloomington, United States

Reviewed by:

Marco Buongiorno Nardelli, University of North Texas, United States
Zohar Nussinov, Washington University in St. Louis, United States  

Copyright: © 2018 Núñez Fernández and Hallberg. This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) and the copyright owner are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.

* Correspondence: Mr. Yuriel Núñez Fernández, Bariloche Atomic Centre, Bustillo 9500, Bariloche, 8400, Rio Negro, Argentina, yurielnf@gmail.com