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Theoretical methods that are accurate for both short-distance observables and long-wavelength collective modes are still being developed for the Hubbard model. Here, we benchmark an approach that combines dynamical mean-field theory (DMFT)…

Strongly Correlated Electrons · Physics 2023-03-09 N. Martin , C. Gauvin-Ndiaye , A. -M. S. Tremblay

Nonlocal correlations play an essential role in correlated electron systems, especially in the vicinity of phase transitions and crossovers, where two-particle correlation functions display a distinct momentum dependence. In nonequilibrium…

Strongly Correlated Electrons · Physics 2023-06-29 Olivier Simard , Philipp Werner

Extending many-body numerical techniques which are powerful in the context of simple model calculations to the realm of realistic material simulations can be a challenging task. Realistic systems often involve multiple active orbitals,…

Strongly Correlated Electrons · Physics 2025-07-23 Jonas B. Profe , Jiawei Yan , Karim Zantout , Philipp Werner , Roser Valentí

One of the most challenging problems in solid state systems is the microscopic analysis of electronic correlations. A paramount minimal model that encodes correlation effects is the Hubbard Hamiltonian, which -- albeit its simplicity -- is…

Strongly Correlated Electrons · Physics 2022-11-03 Karim Zantout , Steffen Backes , Roser Valenti

We investigate the two-dimensional Hubbard model using a real-frequency implementation of the TPSC+DMFT approach. This hybrid method combines the nonlocal correlations captured by the Two-Particle Self-Consistent (TPSC) approach with the…

Strongly Correlated Electrons · Physics 2025-04-01 Lei Geng , Jiawei Yan , Philipp Werner

We implement a multi-orbital cluster dynamical mean-field theory (DMFT), by improving a sample-update algorithm in the continuous-time quantum Monte Carlo method based on the interaction expansion. The proposed sampling scheme for the…

Strongly Correlated Electrons · Physics 2014-08-20 Yusuke Nomura , Shiro Sakai , Ryotaro Arita

The Emery model, or three-band Hubbard model, is a Hamiltonian that is thought to contain much of the physics of cuprate superconductors. This model includes two noninteracting $p$ orbitals and one interacting $d$ orbital per unit cell. Few…

Strongly Correlated Electrons · Physics 2023-08-29 C. Gauvin-Ndiaye , J. Leblanc , S. Marin , N. Martin , D. Lessnich , A. -M. S. Tremblay

We propose a hybrid approach which employs the dynamical mean-field theory (DMFT) self-energy for the correlated, typically rather localized orbitals and a conventional density functional theory (DFT) exchange-correlation potential for the…

Strongly Correlated Electrons · Physics 2021-06-16 Sumanta Bhandary , Karsten Held

Electronic correlated systems are often well described by dynamical mean field theory (DMFT). While DMFT studies have mainly focused hitherto on one-particle properties, valuable information is also enclosed into local two-particle Green's…

Strongly Correlated Electrons · Physics 2012-09-25 Georg Rohringer , Angelo Valli , Alessandro Toschi

Spontaneous symmetry breaking of interacting fermion systems constitutes a major challenge for many-body theory due to the proliferation of new independent scattering channels once absent or degenerate in the symmetric phase. One example is…

Strongly Correlated Electrons · Physics 2025-05-30 Lorenzo Del Re

The two-particle self-consistent approach (TPSC) is a method for the one-band Hubbard model that can be both numerically efficient and reliable. However, TPSC fails to yield physical results deep in the renormalized classical regime of the…

Strongly Correlated Electrons · Physics 2024-01-17 C. Gauvin-Ndiaye , C. Lahaie , Y. M. Vilk , A. -M. S. Tremblay

An approach is proposed for evaluating dipolar and multipolar inter-site interactions in strongly correlated materials. This approach is based on the single-site dynamical mean-field theory (DMFT) in conjunction with the atomic…

Strongly Correlated Electrons · Physics 2016-09-13 L. V. Pourovskii

Estimating the local two-particle vertex functions, which are crucial for capturing the spatial fluctuation of the effective field beyond the single-site DMFT, is still challenging. In our previous work, we developed a computationally…

Strongly Correlated Electrons · Physics 2025-05-27 Ryota Mizuno , Kazuhiko Kuroki , Masayuki Ochi

We propose new approach for treatment of local and non-local interactions in correlated electronic systems, which uses self-energy and the two-particle irreducible vertices, obtained from (extended) dynamical mean-field theory, as an input…

Strongly Correlated Electrons · Physics 2019-03-12 A. A. Katanin

We present an efficient and numerically stable algorithm for calculation of two-particle response functions within the dynamical mean-field theory. The technique is based on inferring the high frequency asymptotic behavior of the…

Strongly Correlated Electrons · Physics 2015-03-17 Jan Kunes

We apply a recently introduced hybridization-flow functional renormalization group scheme for Anderson-like impurity models as an impurity solver in a dynamical mean-field theory (DMFT) approach to lattice Hubbard models. We present how…

Strongly Correlated Electrons · Physics 2013-11-21 Michael Kinza , Carsten Honerkamp

Extensions of dynamical-mean-field-theory (DMFT) make use of quantum impurity models as non-perturbative and exactly solvable reference systems which are essential to treat the strong electronic correlations. Through the introduction of…

Strongly Correlated Electrons · Physics 2017-09-25 F. Krien , E. G. C. P. van Loon , H. Hafermann , J. Otsuki , M. I. Katsnelson , A. I. Lichtenstein

Even at weak to intermediate coupling, the Hubbard model poses a formidable challenge. In two dimensions in particular, standard methods such as the Random Phase Approximation are no longer valid since they predict a finite temperature…

Strongly Correlated Electrons · Physics 2015-05-28 A. -M. S. Tremblay

Dynamical Mean-Field Theory (DMFT) has opened new perspectives for the investigation of strongly correlated electron systems and greatly improved our understanding of correlation effects in models and materials. In contrast to…

Strongly Correlated Electrons · Physics 2020-07-16 Dieter Vollhardt

We consider the thermodynamic consistency of the charge response function in the (extended) Hubbard model. In DMFT, thermodynamic consistency is preserved. We prove that the static, homogeneous DMFT susceptibility is consistent as long as…

Strongly Correlated Electrons · Physics 2015-08-06 Erik G. C. P. van Loon , Hartmut Hafermann , Alexander I. Lichtenstein , Mikhail I. Katsnelson
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