Dynamical susceptibilities in strong coupling approach
A. M. Shvaika
TL;DR
This paper develops a general method to compute dynamical susceptibilities in strongly correlated electron systems using dynamical mean field theory, providing analytical results for specific models.
Contribution
It introduces a novel expansion technique over electron hopping in infinite dimensions within DMFT, enabling analytical calculations of susceptibilities.
Findings
Analytical expressions for susceptibilities in Falicov-Kimball model
Analytical expressions for susceptibilities in pseudospin-electron model
Method applicable to various strongly correlated systems
Abstract
A general scheme to calculate dynamical susceptibilities of strongly correlated electron systems within the dynamical mean field theory is developed. Approach is based on an expansion over electron hopping around the atomic limit (within the diagrammatic technique for site operators: projection and Hubbard ones) in infinite dimensions. As an example, the Falicov-Kimball and simplified pseudospin-electron models are considered for which an analytical expressions for dynamical susceptibilities are obtained.
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