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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Bibliographic Details
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
Subjects:
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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Summary: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.
ISSN:0031-9007
1079-7114
DOI:10.1103/PhysRevLett.93.246403