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… 

Figures from this paper

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

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

We establish a way to handle collective fluctuations in correlated quantum systems, based on Fluctuation Local Field concept. This technique goes beyond standard mean-field approaches, such as

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

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

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

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

Impact of partially bosonized collective fluctuations on electronic degrees of freedom

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

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

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

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

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

References

SHOWING 1-10 OF 68 REFERENCES

Diagrammatic Monte Carlo approach for diagrammatic extensions of dynamical mean-field theory: Convergence analysis of the dual fermion technique

The dual-fermion approach provides a formally exact prescription for calculating properties of a correlated electron system in terms of a diagrammatic expansion around dynamical mean-field theory

Beyond extended dynamical mean-field theory: Dual boson approach to the two-dimensional extended hubbard model

The dual boson approach [Ann. Phys. 327, 1320 (2012)] provides a means to construct a diagrammatic expansion around the extended dynamical mean-field theory (EDMFT). In this paper, we present the

Diagrammatic Monte Carlo for dual fermions

We introduce a numerical algorithm to stochastically sample the dual fermion perturbation series around the dynamical mean field theory, generating all topologies of two-particle interaction

Determinant Monte Carlo for irreducible Feynman diagrams in the strongly correlated regime

We develop a numerically exact method for the summation of irreducible Feynman diagrams for fermionic self-energy in the thermodynamic limit. The technique, based on the Diagrammatic Determinant

On the dangers of partial diagrammatic summations: Benchmarks for the two-dimensional Hubbard model in the weak-coupling regime

We study the two-dimensional Hubbard model in the weak-coupling regime and compare the self-energy obtained from various approximate diagrammatic schemes to the result of diagrammatic Monte Carlo

Self-consistent dual boson approach to single-particle and collective excitations in correlated systems

We propose an efficient dual boson scheme, which extends the DMFT paradigm to collective excitations in correlated systems. The theory is fully self-consistent both on the one- and on the

Momentum-Space Cluster Dual Fermion Method

Recent years have seen the development of two types of non-local extensions to the single-site dynamical mean field theory. On one hand, cluster approximations, such as the dynamical cluster

Consistent partial bosonization of the extended Hubbard model

We design an efficient and balanced approach that captures major effects of collective electronic fluctuations in strongly correlated fermionic systems using a simple diagrammatic expansion on a

Effective Heisenberg Model and Exchange Interaction for Strongly Correlated Systems.

The extended Hubbard model is considered and a corresponding Heisenberg-like problem written in terms of spin operators is introduced, which reduces to a standard expression of the density functional theory that has been successfully used in practical calculations of magnetic properties of real materials.
...