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The Dynamical Mean Field Theory (DMFT) is a powerful tool for calculating highly correlated systems (both bosonic and fermionic) in a state of thermodynamic equilibrium. However, in the case of non-equilibrium states, the method has…

Strongly Correlated Electrons · Physics 2023-11-07 A. Karpov , G. Sultanov , E. Polyakov , A. Rubtsov

We investigate the dynamical mean-field theory (DMFT) from a quantum chemical perspective. Dynamical mean-field theory offers a formalism to extend quantum chemical methods for finite systems to infinite periodic problems within a local…

Strongly Correlated Electrons · Physics 2016-11-15 Dominika Zgid , Garnet Kin-Lic Chan

LDA+DMFT is a novel computational technique for ab initio investigations of real materials with strongly correlated electrons, such as transition metals and their oxides. It combines the strength of conventional band structure theory in the…

Strongly Correlated Electrons · Physics 2007-05-23 K. Held , I. A. Nekrasov , G. Keller , V. Eyert , N. Blümer , A. K. McMahan , R. T. Scalettar , T. Pruschke , V. I. Anisimov , D. Vollhardt

Dynamical mean-field theory (DMFT) is one of the most widely used theoretical methods for electronic structure calculations, providing self-consistent solutions even in low-temperature regimes, which are exact in the limit of infinite…

Strongly Correlated Electrons · Physics 2023-09-06 Johan Carlström

Strongly correlated materials exhibit complex electronic phenomena that are challenging to capture with traditional theoretical methods, yet understanding these systems is crucial for discovering new quantum materials. Addressing the…

Strongly Correlated Electrons · Physics 2024-11-22 Egor Agapov , Oriol Bertomeu , Andrés Carballo , Christian B. Mendl , Aaron Sander

The combination of density functional theory with dynamical mean-field theory (DFT+DMFT) has become a powerful first-principles approach to tackle strongly correlated materials in condensed matter physics. The wide use of this approach…

Strongly Correlated Electrons · Physics 2022-05-10 Xin Qu , Peng Xu , Rusong Li , Gang Li , Lixin He , Xinguo Ren

In the pursuit of accurate descriptions of strongly correlated quantum many-body systems, dynamical mean-field theory (DMFT) has been an invaluable tool for elucidating the spectral properties and quantum phases of both phenomenological…

Strongly Correlated Electrons · Physics 2019-10-07 Carlos Mejuto-Zaera , Norm M. Tubman , K. Birgitta Whaley

We review the basic ideas of the dynamical mean field theory (DMFT) and some of the insights into the electronic structure of strongly correlated electrons obtained by this method in the context of model Hamiltonians. We then discuss the…

Strongly Correlated Electrons · Physics 2007-05-23 G. Kotliar , S. Y. Savrasov

Dynamical Mean Field Theory (DMFT) is one of the powerful computational approaches to study electron correlation effects in solid-state materials and molecules. Its practical applicability is, however, limited by the quantity of numerical…

Strongly Correlated Electrons · Physics 2024-12-23 Jannis Ehrlich , Daniel Urban , Christian Elsässer

Density functional theory (DFT) stands as a cornerstone method in computational quantum chemistry and materials science due to its remarkable versatility and scalability. Yet, it suffers from limitations in accuracy, particularly when…

Dynamical Mean-Field Theory (DMFT) has established itself as a reliable and well-controlled approximation to study correlation effects in bulk solids and also two-dimensional systems. In combination with standard density-functional theory…

Atomic and Molecular Clusters · Physics 2015-05-30 V. Turkowski , A. Kabir , N. Nayyar , Talat S. Rahman

The concept of electronic correlations plays an important role in modern condensed matter physics. It refers to interaction effects which cannot be explained within a static mean-field picture as provided by Hartree-Fock theory. Electronic…

Strongly Correlated Electrons · Physics 2015-03-17 Dieter Vollhardt

The calculation of electronic properties of materials is an important task of solid state theory, albeit particularly difficult if electronic correlations are strong, for example in transition metals, their oxides and in f-electron systems.…

Strongly Correlated Electrons · Physics 2009-09-29 K. Held

We present the results of numerical studies for selected materials with strongly correlated electrons using a combination of the local-density approximation and dynamical mean-field theory (DMFT). For the solution of the DMFT equations a…

Strongly Correlated Electrons · Physics 2011-02-11 Arno P. Kampf , Marcus Kollar , Jan Kunes , Michael Sentef , Dieter Vollhardt

In moir\'e systems, the impact of lattice relaxation on electronic band structures is significant, yet the computational demands of first-principles relaxation are prohibitively high due to the large number of atoms involved. To address…

Mesoscale and Nanoscale Physics · Physics 2025-11-25 Jiaxuan Liu , Zhong Fang , Hongming Weng , Quansheng Wu

The description of realistic strongly correlated systems has recently advanced through the combination of density functional theory in the local density approximation (LDA) and dynamical mean field theory (DMFT). This LDA+DMFT method is…

Strongly Correlated Electrons · Physics 2009-11-13 B. Amadon , F. Lechermann , A. Georges , F. Jollet , T. O. Wehling , A. I. Lichtenstein

Dynamical mean-field theory (DMFT) is a cornerstone technique for studying strongly correlated electronic systems. However, each DMFT step is computationally demanding, and many iterations can be required to achieve convergence. Here, we…

Strongly Correlated Electrons · Physics 2026-01-26 E. M. Makaresz , O. Gingras , Tsung-Han Lee , Nicola Lanatà , B. J. Powell , Henry L. Nourse

A nonperturbative quantum impurity solver is proposed based on a formally exact hierarchical equations of motion (HEOM) formalism for open quantum systems. It leads to quantitatively accurate evaluation of physical properties of strongly…

Strongly Correlated Electrons · Physics 2014-08-04 Dong Hou , Rulin Wang , Xiao Zheng , NingHua Tong , JianHua Wei , YiJing Yan

Dynamical mean-field theory (DMFT) is one of the most standard theoretical frameworks for addressing strongly correlated electron systems. Meanwhile, the concept of holography, developed in the field of quantum gravity, provides an…

Strongly Correlated Electrons · Physics 2026-01-29 Kouichi Okunishi , Akihisa Koga

For reliable and efficient inclusion of electron-electron correlation effects in nanosystems we propose a combined density-functional-theory/nonhomogeneous dynamical-mean-field-theory (DFT + DMFT) approach which employs an approximate…

Strongly Correlated Electrons · Physics 2013-11-14 Alamgir Kabir , Volodymyr Turkowski , Talat S. Rahman