# Dual boson diagrammatic Monte Carlo approach applied to the extended Hubbard model

@article{Vandelli2020DualBD, title={Dual boson diagrammatic Monte Carlo approach applied to the extended Hubbard model}, author={Matteo Vandelli and Viktor Harkov and Evgeny A. Stepanov and Jan Gukelberger and Evgeny Kozik and {\'A}ngel Rubio and Alexander I. Lichtenstein}, journal={Physical Review B}, year={2020}, volume={102}, pages={195109} }

In this work we introduce the Dual Boson Diagrammatic Monte Carlo technique for strongly interacting electronic systems. This method combines the strength of dynamical mean-filed theory for non-perturbative description of local correlations with the systematic account of non-local corrections in the Dual Boson theory by the diagrammatic Monte Carlo approach. It allows us to get a numerically exact solution of the dual boson theory at the two-particle local vertex level for the extended Hubbard…

## 14 Citations

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

- PhysicsPhysical Review B
- 2021

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 capture, respectively,…

### Collective magnetic fluctuations in Hubbard plaquettes captured by fluctuating local field method

- PhysicsPhysical Review B
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### Fluctuating local field approach to free energy of one-dimensional molecules with strong collective electronic fluctuations

- PhysicsPhysical Review B
- 2022

The impact of leading collective electronic fluctuations on a free energy of a prototype 1D model for molecular systems is considered within the recently developed Fluctuating Local Field (FLF)…

### Hund-induced orbital isotropy of magnetic fluctuations in perovskite materials

- Physics
- 2020

Characterizing non-local magnetic fluctuations in materials with strong electronic Coulomb interactions remains one of the major outstanding challenges of modern condensed matter theory. Here, we…

### Orbital Isotropy of Magnetic Fluctuations in Correlated Electron Materials Induced by Hund’s Exchange Coupling

- PhysicsPhysical Review Letters
- 2021

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### Impact of partially bosonized collective fluctuations on electronic degrees of freedom

- Physics
- 2021

V. Harkov,1, 2 M. Vandelli,1, 3, 4 S. Brener,1, 3 A. I. Lichtenstein,1, 2, 3 and E. A. Stepanov5, ∗ 1I. Institute of Theoretical Physics, University of Hamburg, Jungiusstrasse 9, 20355 Hamburg,…

### Multi-band D-TRILEX approach to materials with strong electronic correlations

- PhysicsSciPost Physics
- 2022

We present the multi-band dual triply irreducible local expansion (D-TRILEX) approach to interacting electronic systems and discuss its numerical implementation.
This method is designed for a…

### Coexistence of $s$-wave superconductivity and phase separation in the half-filled extended Hubbard model with attractive interactions

- Physics
- 2023

Understanding competing instabilities in systems with correlated fermions remains one of the holy grails of modern condensed matter physics. Among the fermionic lattice models used to this eﬀect, the…

### Multi-channel fluctuating field approach to competing instabilities in interacting electronic systems

- Physics
- 2022

Systems with strong electronic Coulomb correlations often display rich phase diagrams exhibiting diﬀerent ordered phases involving spin, charge, or orbital degrees of freedom. The theoretical…

### Extended regime of coexisting metallic and insulating phases in a two-orbital electronic system

- Physics
- 2022

We investigate the metal-to-insulator phase transition driven by electronic interactions in the quarter-ﬁlled Hubbard-Kanamori model on a cubic lattice with two orbitals split by a crystal ﬁeld. We…

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