activity
20162024
most citedSingle-boson exchange decomposition of the vertex function

63 citations · 607 across the 21 of their papers we have counts for

collaborators

21 papers

cond-mat.str-el2024★ 1 cited

Screening and effective RPA-like charge susceptibility in the extended Hubbard model

Aiman Al-Eryani, Sarah Heinzelmann, Kilian Fraboulet +2

We generalize the recently introduced single-boson exchange formalism to nonlocal interactions. In the functional renormalization group application to the extended Hubbard model in…

cond-mat.str-el2024★ 3 cited

Pairing boost from enhanced spin-fermion coupling in the pseudogap regime

Yang Yu, Sergei Iskakov, Emanuel Gull +2

We perform a fluctuation analysis of the pairing interaction in the hole-doped Hubbard model within the dynamical cluster approximation. Our analysis reveals that spin-fluctuation-…

cond-mat.str-el2024

Embedded multi-boson exchange: A step beyond quantum cluster theories

Dominik Kiese, Nils Wentzell, Igor Krivenko +3

We introduce a diagrammatic multi-scale approach to the Hubbard model based on the interaction-irreducible (multi-boson) vertex of a small cluster embedded in a self-consistent med…

cond-mat.str-el2024★ 6 cited

Unambiguous fluctuation decomposition of the self-energy: pseudogap physics beyond spin fluctuations

Yang Yu, Sergei Iskakov, Emanuel Gull +2

Correlated electron systems may give rise to multiple effective interactions whose combined impact on quasiparticle properties can be difficult to disentangle. We introduce an unam…

cond-mat.str-el2022★ 10 cited

Non-linear responses and three-particle correlators in correlated electron systems exemplified by the Anderson impurity model

Patrick Kappl, Friedrich Krien, Clemens Watzenböck +1

Three-particle correlators are relevant for, among others, Raman, Hall and non-linear responses. They are also required for the next order of approximations extending dynamical mea…

cond-mat.str-el2022★ 24 cited

Non-perturbative intertwining between spin and charge correlations: A "smoking gun" single-boson-exchange result

Severino Adler, Friedrich Krien, Patrick Chalupa-Gantner +2

We study the microscopic mechanism controlling the interplay between local charge and local spin fluctuations in correlated electron systems via a thorough investigation of the gen…

cond-mat.str-el2022

The plain and simple parquet approximation: single- and multi-boson exchange in the two-dimensional Hubbard model

Friedrich Krien, Anna Kauch

The parquet approach to vertex corrections is unbiased but computationally demanding. Most applications are therefore restricted to small cluster sizes or rely on various simplifyi…

cond-mat.str-el2021★ 38 cited

Explaining the pseudogap through damping and antidamping on the Fermi surface by imaginary spin scattering

Friedrich Krien, Paul Worm, Patrick Chalupa +2

The mechanism of the pseudogap observed in hole-doped cuprates remains one of the central puzzles in condensed matter physics. We analyze this phenomenon via a Feynman-diagrammatic…

cond-mat.str-el2021★ 29 cited

Parametrizations of local vertex corrections from weak to strong coupling: importance of the Hedin three-leg vertex

Viktor Harkov, Alexander I. Lichtenstein, Friedrich Krien

In the study of correlated systems, approximations based on the dynamical mean-field theory (DMFT) provide a practical way to take local vertex corrections into account, which capt…

cond-mat.str-el2020★ 44 cited

Fluctuation diagnostic of the nodal/antinodal dichotomy in the Hubbard model at weak coupling: a parquet dual fermion approach

Friedrich Krien, Alexander I. Lichtenstein, Georg Rohringer

We apply the boson exchange parquet solver for dual fermions to the half-filled Hubbard model on a square lattice at small interaction. Our results establish that, in this regime,…

cond-mat.str-el2020★ 42 cited

Tiling with triangles: parquet and methods unified

Friedrich Krien, Anna Kauch, Karsten Held

The parquet formalism and Hedin's approach are unified into a single theory of vertex corrections, corresponding to an exact reformulation of the parquet equations in terms o…

cond-mat.str-el2020★ 55 cited

Boson-Exchange Parquet Solver for dual fermions

Friedrich Krien, Angelo Valli, Patrick Chalupa +3

We present and implement a parquet approximation within the dual-fermion formalism based on a partial bosonization of the dual vertex function which substantially reduces the compu…

cond-mat.str-el2020★ 47 cited

The Bethe-Salpeter equation at the critical end-point of the Mott transition

Erik G. C. P. van Loon, Friedrich Krien, Andrey A. Katanin

Strong repulsive interactions between electrons can lead to a Mott metal-insulator transition. The Dynamical Mean-Field Theory (DMFT) explains the critical end-point and hysteresis…

cond-mat.str-el2019★ 45 cited

Parquet-like equations for the Hedin three-leg vertex

Friedrich Krien, Angelo Valli

Taking the competition and the mutual screening of various bosonic fluctuations in correlated electron systems into account requires an unbiased approach to the many-body problem.…

cond-mat.str-el2019★ 63 cited

Single-boson exchange decomposition of the vertex function

Friedrich Krien, Angelo Valli, Massimo Capone

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 exch…

cond-mat.str-el2019★ 33 cited

Efficient evaluation of the polarization function in dynamical mean-field theory

Friedrich Krien

The dynamical susceptibility of strongly correlated electronic systems can be calculated within the framework of the dynamical mean-field theory (DMFT). The required measurement of…

cond-mat.str-el2018★ 28 cited

Two-particle Fermi liquid parameters at the Mott transition: Vertex divergences, Landau parameters, and incoherent response in dynamical mean-field theory

Friedrich Krien, Erik G. C. P. van Loon, Mikhail I. Katsnelson +2

We consider the interaction-driven Mott transition at zero temperature from the viewpoint of microscopic Fermi liquid theory. To this end, we derive an exact expression for the Lan…

cond-mat.str-el2018★ 35 cited

Fermion-boson vertex within Dynamical Mean-Field Theory

Erik G. C. P. van Loon, Friedrich Krien, Hartmut Hafermann +2

In the study of strongly interacting systems, correlations on the two-particle level are receiving more and more attention. In this work, we study a particular two-particle correla…

cond-mat.str-el2018★ 46 cited

Effective Heisenberg model and exchange interaction for strongly correlated systems

E. A. Stepanov, S. Brener, F. Krien +3

We consider the extended Hubbard model and introduce a corresponding Heisenberg-like problem written in terms of spin operators. The derived formalism is reminiscent of Anderson's…

cond-mat.str-el2017★ 24 cited

Exact diagonalization solver for the extended dynamical mean-field theory

Darya Medvedeva, Sergei Iskakov, Friedrich Krien +2

We present an efficient exact diagonalization scheme for the extended dynamical mean-field theory and apply it to the extended Hubbard model on the square lattice with nonlocal cha…

cond-mat.str-el2016★ 34 cited

Double occupancy in DMFT and the Dual Boson approach

Erik G. C. P. van Loon, Friedrich Krien, Hartmut Hafermann +3

We discuss the calculation of the double occupancy using Dynamical Mean-Field Theory (DMFT) in finite dimensions. The double occupancy can be determined from the susceptibility of…