scholarly journals Slave-rotor mean-field theories of strongly correlated systems and the Mott transition in finite dimensions

2004 ◽  
Vol 70 (3) ◽  
Author(s):  
Serge Florens ◽  
Antoine Georges
Keyword(s):  
Mean Field ◽  
Mott Transition ◽  
Strongly Correlated Systems ◽  
Field Theories ◽  
Strongly Correlated ◽  
Correlated Systems ◽  
Mean Field Theories

RECENT APPLICATIONS OF THE DMRG METHOD

2006 ◽  
Vol 20 (19) ◽  
pp. 2624-2635
Author(s):  
KAREN HALLBERG
Keyword(s):  
Degrees Of Freedom ◽  
Mean Field Theory ◽  
Mean Field ◽  
Finite Size ◽  
Strongly Correlated Systems ◽  
Strongly Correlated ◽  
Correlated Systems ◽  
Infinite Dimensional ◽  
Low Dimensional ◽  
Time Dependent Problems

Since its inception, the DMRG method has been a very powerful tool for the calculation of physical properties of low-dimensional strongly correlated systems. It has been adapted to obtain dynamical properties and to consider finite temperature, time-dependent problems, bosonic degrees of freedom, the treatment of classical problems and non-equilibrium systems, among others. We will briefly review the method and then concentrate on its latest developments, describing some recent successful applications. In particular we will show how the dynamical DMRG can be used together with the Dynamical Mean Field Theory (DMFT) to solve the associated impurity problem in the infinite-dimensional Hubbard model. This method is used to obtain spectral properties of strongly correlated systems. With this algorithm, more complex problems having a larger number of degrees of freedom can be considered and finite-size effects can be minimized.

scholarly journals Cellular Dynamical Mean Field Approach to Strongly Correlated Systems

2001 ◽  
Vol 87 (18) ◽  
Author(s):  
Gabriel Kotliar ◽  
Sergej Y. Savrasov ◽  
Gunnar Pálsson ◽  
Giulio Biroli
Keyword(s):  
Mean Field ◽  
Strongly Correlated Systems ◽  
Strongly Correlated ◽  
Correlated Systems ◽  
Field Approach

Strongly Correlated Systems in Infinite Dimensions and Their Zero Dimensional Counterparts

1992 ◽  
Vol 06 (05n06) ◽  
pp. 705-730 ◽  
Author(s):  
Antoine Georges ◽  
Gabriel Kotliar ◽  
Qimiao Si
Keyword(s):  
Mean Field ◽  
Strongly Correlated Systems ◽  
Kondo Lattice ◽  
Strongly Correlated ◽  
Infinite Dimensions ◽  
Field Equations ◽  
Correlated Systems ◽  
Infinite Dimensional ◽  
Mean Field Equations ◽  
Impurity Models

We extend a mapping from infinite dimensional to zero dimensional (impurity) models to derive mean field equations of several strongly correlated systems which become exact in infinite dimensions. We discuss various magnetic phases of the Hubbard model, the periodic Anderson model the Kondo lattice and the Falicov Kimball model and we relate them to different impurity models. Qualitative insights into these models is gained from the exact results obtained for their zero dimensional counterparts.

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