Dynamical mean field theory with the density matrix renormalization group

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 limit...

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Published in:Physical review letters 2004-12, Vol.93 (24), p.246403.1-246403.4, Article 246403
Main Authors: GARCIA, Daniel J, HALLBERG, Karen, ROZENBERG, Marcelo J
Format: Article
Language:English
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Condensed matter: electronic structure, electrical, magnetic, and optical properties
Electron states
Exact sciences and technology
Physics
Theories and models of many electron systems
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description 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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subjects Condensed matter: electronic structure, electrical, magnetic, and optical properties
Electron states
Exact sciences and technology
Physics
Theories and models of many electron systems
title Dynamical mean field theory with the density matrix renormalization group
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