Single-boson exchange decomposition of the vertex function
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In this article, a decomposition of the two-particle vertex function of the single-band Anderson impurity model is presented, which imparts a physical interpretation of the vertex in terms of the exchange of bosons of three flavors.Abstract:
We present a decomposition of the two-particle vertex function of the single-band Anderson impurity model which imparts a physical interpretation of the vertex in terms of the exchange of bosons of three flavors. We evaluate the various components of the vertex for an impurity model corresponding to the half-filled Hubbard model within dynamical mean-field theory. For small values of the interaction almost the entire information encoded in the vertex function corresponds to single-boson exchange processes, which can be represented in terms of the Hedin three-leg vertex and the screened interaction. Also for larger interaction, the single-boson exchange still captures scatterings between electrons and the dominant low-energy fluctuations and provides a unified description of the vertex asymptotics. The proposed decomposition of the vertex does not require the matrix inversion of the Bethe-Salpeter equation. Therefore, it represents a computationally lighter and hence more practical alternative to the parquet decomposition.read more
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References
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TL;DR: In this paper, a general theory of spin fluctuations and thermodynamical properties of itinerant electron magnets is developed, interpolating between the weakly and strongly ferromagnetic limits, and a unified expression is given for the Curie temperature and the physical meaning of the curie-Weiss magnetic susceptibility is discussed.
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TL;DR: In this paper, the continuous-time quantum Monte Carlo (QMC) algorithm is used to solve the local correlation problem in quantum impurity models with high and low energy scales and is effective for wide classes of physically realistic models.
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Self-Consistent Approximations in Many-Body Systems
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