Record Details

Title:
Thermodynamic consistency of the charge response in dynamical mean-field based approaches
Affiliation(s):
EuXFEL staff, Other
Author group:
Theory
Topic:
Scientific area:
Abstract:
We consider the thermodynamic consistency of the charge response function in the (extended) Hubbard model. In dynamical mean-field theory (DMFT), thermodynamic consistency is preserved. We prove that the static, homogeneous DMFT susceptibility is consistent as long as vertex corrections obtained from the two-particle impurity correlation function are included. In the presence of a nonlocal interaction, the problem may be treated within extended DMFT (EDMFT), or its diagrammatic extension, the dual boson approach. We show that here maintaining thermodynamic consistency requires knowledge of three- and four-particle impurity correlation functions, which are typically neglected. Nevertheless, the dual boson approximation to the response is remarkably close to consistency. This holds even when two-particle vertex corrections are neglected. EDMFT is consistent only in the strongly correlated regime and near half-filling, where the physics is predominantly local.
Imprint:
American Physical Society, 2015
Journal Information:
Physical Review B, 92 (8), 085106 (2015)
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Language(s):
English


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 Record created 2018-07-13, last modified 2018-12-19

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