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Related papers: A mathematical analysis of IPT-DMFT

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A new numerical method for the solution of the Dynamical Mean Field Theory's self-consistent equations is introduced. The method uses the Density Matrix Renormalization Group technique to solve the associated impurity problem. The new…

Strongly Correlated Electrons · Physics 2016-08-31 Daniel J. Garcia , Karen Hallberg , Marcelo J. Rozenberg

We propose a method for estimating smooth real-frequency self-energy in the dynamical mean-field theory with the finite-temperature exact diagonalization (DMFT-ED). One of the benefits of DMFT-ED calculations is that one can obtain…

Strongly Correlated Electrons · Physics 2019-06-10 Yuki Nagai , Hiroshi Shinaoka

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

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

Dynamical Mean-Field Theory (DMFT) is a powerful theoretical framework for analyzing systems with many interacting degrees of freedom. This tutorial provides an accessible introduction to DMFT. We begin with a linear model where the DMFT…

Disordered Systems and Neural Networks · Physics 2025-07-23 Emmy Blumenthal

We studied several aspects of the Mott metal-insulator transition in the disordered case. The model on which we based our analysis is the disordered Hubbard model, which is the simplest model capable of capturing the Mott metal-insulator…

Strongly Correlated Electrons · Physics 2020-07-01 M. Y. Suárez-Villagrán , N. Mitsakos , Tsung-Han Lee , V. Dobrosavljević , J. H. Miller, , E. Miranda

We show how to use diagrammatic techniques to compute the weak-coupling perturbation series of the self-consistent solution to a Dynamical Mean Field Theory (DMFT) problem. This approach constitutes an alternative to using diagrammatic…

Strongly Correlated Electrons · Physics 2025-04-29 Corentin Bertrand , Michel Ferrero , Olivier Parcollet

The dynamical mean field theory (DMFT) has become a standard technique for the study of strongly correlated models and materials overcoming some of the limitations of density functional approaches based on local approximations. An important…

Strongly Correlated Electrons · Physics 2015-10-28 K. Hallberg , D. J. García , Pablo S. Cornaglia , Jorge I. Facio , Y. Núñez-Fernández

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

The unphysical solutions of the periodic Anderson model obtained by H. Keiter and T. Leuders [Europhys. Lett. 49, 801(2000)] in dynamical mean-field theory (DMFT) are shown to result from the author's restricted choice of the functional…

Strongly Correlated Electrons · Physics 2009-11-07 Th. Pruschke , W. Metzner , D. Vollhardt

Machine learning methods for solving the equations of dynamical mean-field theory are developed. The method is demonstrated on the three dimensional Hubbard model. The key technical issues are defining a mapping of an input function to an…

Strongly Correlated Electrons · Physics 2015-07-01 Louis-François Arsenault , O. Anatole von Lilienfeld , Andrew J. Millis

We explore the use of exact diagonalization methods for solving the self consistent equations of the cellular dynamical mean field theory (CDMFT) for the one dimensional regular and extended Hubbard models. We investigate the nature of the…

Strongly Correlated Electrons · Physics 2007-05-23 C. J. Bolech , S. S. Kancharla , G. Kotliar

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

We derive an exact mapping from the action of nonequilibrium dynamical mean-field theory (DMFT) to a single-impurity Anderson model (SIAM) with time-dependent parameters, which can be solved numerically by exact diagonalization. The…

Strongly Correlated Electrons · Physics 2013-12-06 Christian Gramsch , Karsten Balzer , Martin Eckstein , Marcus Kollar

It is shown that a minimum realization of the dynamical mean-field theory (DMFT) can be achieved by mapping a correlated lattice model onto an impurity model in which the impurity is coupled to an uncorrelated bath that consists of a single…

Strongly Correlated Electrons · Physics 2009-11-07 M. Potthoff

Nonequilibrium dynamical mean-field theory (DMFT) is developed for the case of the charge-density-wave ordered phase. We consider the spinless Falicov-Kimball model which can be solved exactly. This strongly correlated system is then placed…

Strongly Correlated Electrons · Physics 2016-03-31 O. P. Matveev , A. M. Shvaika , T. P. Devereaux , J. K. Freericks

We provide a review of recently-develop dynamical mean-field theory (DMFT) approaches to the general problem of strongly correlated electronic systems with disorder. We first describe the standard DMFT approach, which is exact in the limit…

Strongly Correlated Electrons · Physics 2023-02-16 E. Miranda , V. Dobrosavljevic

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

An investigation is presented of the utility of semiclassical approximations for solving the quantum-impurity problems arising in the dynamical-mean-field approach to the correlated-electron models. The method is based on performing a exact…

Strongly Correlated Electrons · Physics 2009-11-11 Satoshi Okamoto , Andreas Fuhrmann , Armin Comanac , Andrew J. Millis

The dynamical mean-field concept of approximating an unsolvable many-body problem in terms of the solution of an auxiliary quantum impurity problem, introduced to study bulk materials with a continuous energy spectrum, is here extended to…

Strongly Correlated Electrons · Physics 2011-03-04 Nan Lin , C. A. Marianetti , Andrew J. Millis , David R. Reichman