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Dynamical mean field theory with the density matrix renormalization group. | LitMetric

Dynamical mean field theory with the density matrix renormalization group.

Phys Rev Lett

Instituto Balseiro and Centro Atómico Bariloche, 8400 Bariloche, Argentina.

Published: December 2004

AI Article Synopsis

  • - A new numerical method for solving self-consistent equations in dynamical mean field theory is presented, utilizing the density matrix renormalization group technique to tackle the impurity problem.
  • - This algorithm doesn't rely on any prior approximations and is only constrained by the number of sites it can analyze.
  • - The method provides precise estimates of critical values for metal-insulator transitions and reveals substructure in the Hubbard bands of correlated metals, allowing for more complex models and reduced finite-size effects.

Article 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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Source
http://dx.doi.org/10.1103/PhysRevLett.93.246403DOI Listing

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