Consistent partial bosonization of the extended Hubbard model

Abstract

We design an efficient and balanced approach that captures major effects of collective electronic fluctuations in strongly correlated fermionic systems using a simple diagrammatic expansion on a basis of dynamical mean-field theory. For this aim we perform a partial bosonization of collective fermionic fluctuations in leading channels of instability. We show that a simultaneous account for different bosonic channels can be done in a consistent way that allows to avoid the famous Fierz ambiguity problem. The present method significantly improves a description of an effective screened interaction $W$ in both, charge and spin channels, and has a great potential for application to realistic $GW$-like calculations for magnetic materials.

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• Impact of partially bosonized collective fluctuations on electronic degrees of freedom
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• Parquet-like equations for the Hedin three-leg vertex
• Dual Boson Diagrammatic Monte Carlo Approach Applied to the Extended Hubbard Model
• Spin dynamics of itinerant electrons: local magnetic moment formation and Berry phase
• Single boson exchange representation of the functional renormalization group for strongly interacting many-electron systems
• Parametrizations of local vertex corrections from weak to strong coupling: importance of the Hedin three-leg vertex
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