Strongly correlated electrons: analytic mean-field theories with two-particle self-consistency

0520848 - FZÚ 2020 RIV US eng J - Journal Article
Janiš, Václav - Zalom, Peter - Pokorný, Vladislav - Klíč, Antonín
Strongly correlated electrons: analytic mean-field theories with two-particle self-consistency.
Physical Review B. Roč. 100, č. 19 (2019), s. 1-13, č. článku 195114. ISSN 2469-9950. E-ISSN 2469-9969
R&D Projects: GA ČR GA19-13525S; GA MŠMT LTC19045
Institutional support: RVO:68378271
Keywords : quantum criticality * kondo efekt * Bethe-Salpeter equations * effective interaction
OECD category: Atomic, molecular and chemical physics (physics of atoms and molecules including collision, interaction with radiation, magnetic resonances, Mössbauer effect)
Impact factor: 3.575, year: 2019
Method of publishing: Limited access
https://doi.org/10.1103/physrevb.100.195114

We present a general scheme for constructing analytically controllable approximations with self-consistent equations for the two-particle vertices based on the parquet equations. We explain in detail how to reduce the full set of parquet equations not to miss quantum criticality in strong coupling. We further introduce a decoupling of convolutions of the dynamical variables in the Bethe-Salpeter equations to make them analytically solvable. We connect the self-energy with the two-particle vertices to satisfy the Ward identity and the Schwinger-Dyson equation and discuss the role of the one-particle self-consistency in making the approximations reliable in the whole spectrum of the input parameters.
Permanent Link: http://hdl.handle.net/11104/0305568