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We discuss a generalization of the dynamical mean field theory (DMFT) for strongly correlated systems close to a Mott transition based on a systematic approximation of the fully irreducible four-point vertex. It is an atomic-limit…

Strongly Correlated Electrons · Physics 2016-09-07 Thomas Ayral , Olivier Parcollet

We consider a recently proposed model to understand the rigidity transition in confluent tissues and we derive the dynamical mean field theory (DMFT) equations that describes several types of dynamics of the model in the thermodynamic…

Disordered Systems and Neural Networks · Physics 2023-12-06 Persia Jana Kamali , Pierfrancesco Urbani

A self-consistent calculation scheme for correlated electron systems is created based on the density-functional theory (DFT). Our scheme is a multi-reference DFT (MR-DFT) calculation in which the electron charge density is reproduced by an…

Strongly Correlated Electrons · Physics 2009-11-13 Koichi Kusakabe , Naoshi Suzuki , Shusuke Yamanaka , Kizashi Yamaguchi

This review is devoted to generalization of dynamical mean-field theory (DMFT) for strongly correlated electronic systems towards the account of different types of additional interactions, necessary for correct physical description of many…

Strongly Correlated Electrons · Physics 2015-05-30 E. Z. Kuchinskii , I. A. Nekrasov , M. V. Sadovskii

We present a formalism for strongly correlated electrons systems which consists in a local approximation of the dynamical three-leg interaction vertex. This vertex is self-consistently computed with a quantum impurity model with dynamical…

Strongly Correlated Electrons · Physics 2016-04-01 Thomas Ayral , Olivier Parcollet

The dynamical mean-field theory (DMFT) is employed to study the Mott transition in the semi-infinite Hubbard model at half-filling and zero temperature. We consider the low-index surfaces of the three-dimensional simple-cubic lattice and…

Strongly Correlated Electrons · Physics 2016-08-31 M. Potthoff , W. Nolting

We present an algorithm for solving the self-consistency equations of the dynamical mean-field theory (DMFT) with high precision and efficiency at low temperatures. In each DMFT iteration, the impurity problem is mapped to an auxiliary…

Strongly Correlated Electrons · Physics 2013-06-11 D. Rost , F. Assaad , N. Blümer

It is well known that cellular dynamical mean-field theory (CDMFT) leads to the artificial breaking of translation invariance. In spite of this, it is one of the most successful methods to treat strongly correlated electrons systems. Here,…

Strongly Correlated Electrons · Physics 2020-01-01 S. Verret , J. Roy , A. Foley , M. Charlebois , D. Sénéchal , A. -M. S. Tremblay

We show how to apply the macroscopic fluctuation theory (MFT) of Bertini, De Sole, Gabrielli, Jona-Lasinio, and Landim to study the current fluctuations of diffusive systems with a step initial condition. We argue that one has to…

Statistical Mechanics · Physics 2015-05-13 B. Derrida , A. Gerschenfeld

We further develop an extended dynamical mean field approach introduced earlier. It goes beyond the standard $D=\infty$ dynamical mean field theory by incorporating quantum fluctuations associated with intersite (RKKY-like) interactions.…

Strongly Correlated Electrons · Physics 2009-10-31 J. Lleweilun Smith , Qimiao Si

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 study a proof-of-principle example of the recently proposed hybrid quantum-classical simulation of strongly correlated fermion models in the thermodynamic limit. In a "two-site" dynamical mean-field theory (DMFT) approach we reduce the…

We present a vibrational dynamical mean-field theory (VDMFT) of the dynamics of atoms in solids with anharmonic interactions. Like other flavors of DMFT, VDMFT maps the dynamics of a periodic anharmonic lattice of atoms onto those of a…

Materials Science · Physics 2022-08-10 Petra Shih , Timothy C. Berkelbach

Quantum computers (QC) could harbor the potential to significantly advance materials simulations, particularly at the atomistic scale involving strongly correlated fermionic systems where an accurate description of quantum many-body effects…

We present a systematic and reliable methodology, termed hierarchical mean-field theory (HMFT), to study and predict the behavior of strongly coupled many-particle systems. HMFT is a simple approximation, based upon group theoretical…

Strongly Correlated Electrons · Physics 2007-05-23 Gerardo Ortiz , Cristian D. Batista

We present an approach that combines the local density approximation (LDA) and the dynamical mean-field theory (DMFT) in the framework of the full-potential linear augmented plane waves (FLAPW) method. Wannier-like functions for the…

Wave-function methods have offered a robust, systematically improvable means to study ground-state properties in quantum many-body systems. Theories like coupled cluster and their derivatives provide highly accurate approximations to the…

Strongly Correlated Electrons · Physics 2023-05-10 Gaurav Harsha , Thomas M. Henderson , Gustavo E. Scuseria

The article reviews recent developments in the theory of fluctuations and correlations of energy levels and eigenfunction amplitudes in diffusive mesoscopic samples. Various spatial geometries are considered, with emphasis on…

Disordered Systems and Neural Networks · Physics 2009-10-31 Alexander D. Mirlin

Quantitative prediction of electronic properties in correlated materials requires simulations without empirical truncations and parameters. We present a method to achieve this goal through a new ab initio formulation of dynamical mean-field…

Strongly Correlated Electrons · Physics 2021-04-08 Tianyu Zhu , Garnet Kin-Lic Chan

Quantum embedding based on the (one-electron reduced) density matrix is revisited by means of the unitary Householder transformation. While being exact and equivalent to (but formally simpler than) density matrix embedding theory (DMET) in…

Strongly Correlated Electrons · Physics 2021-07-12 Sajanthan Sekaran , Masahisa Tsuchiizu , Matthieu Saubanère , Emmanuel Fromager