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The diagramatic Monte Carlo method has so far been primarily used in connection with the weak coupling expansion. Here we show that the strong coupling expansion offers a significant advantage: it can be efficiently implemented on both the…

Strongly Correlated Electrons · Physics 2023-11-17 Kristjan Haule

The recently proposed center-focused post-processing procedure [Phys. Rev. Research 2, 033476 (2020)] of cellular dynamical mean-field theory suggests that central sites of large impurity clusters are closer to the exact solution of the…

Strongly Correlated Electrons · Physics 2024-02-28 Michael Meixner , Henri Menke , Marcel Klett , Sarah Heinzelmann , Sabine Andergassen , Philipp Hansmann , Thomas Schäfer

The dynamical mean-field theory (DMFT) combined with the fluctuation exchange (FLEX) method, namely FLEX+DMFT, is an approach for correlated electron systems to incorporate both local and non-local long-range correlations in a…

Superconductivity · Physics 2015-08-20 Motoharu Kitatani , Naoto Tsuji , Hideo Aoki

The formally exact framework of equilibrium Density Functional Theory (DFT) is capable of simultaneously and consistently describing thermodynamic and structural properties of interacting many-body systems in arbitrary external potentials.…

Recently, diagrammatic extensions of dynamical mean field theory (DMFT) have been proposed for including short- and long-range correlations beyond DMFT on an equal footing. We employ one of these, the dynamical vertex approximation…

Strongly Correlated Electrons · Physics 2016-03-23 T. Schaefer , A. Toschi , K. Held

We study the effect of spatially nonlocal correlations on the nonequilibrium dynamics of interacting fermions by constructing the nonequilibrium dynamical cluster theory, a cluster generalization of the nonequilibrium dynamical mean-field…

Strongly Correlated Electrons · Physics 2015-07-13 Naoto Tsuji , Peter Barmettler , Hideo Aoki , Philipp Werner

We consider the interaction-driven Mott transition at zero temperature from the viewpoint of microscopic Fermi liquid theory. To this end, we derive an exact expression for the Landau parameters within the dynamical mean-field theory (DMFT)…

Strongly Correlated Electrons · Physics 2019-06-18 Friedrich Krien , Erik G. C. P. van Loon , Mikhail I. Katsnelson , Alexander I. Lichtenstein , Massimo Capone

We discuss the solution of the Mott transition problem in a fully frustrated lattice with a semicircular density of states in the limit of infinite dimensions from the point of view of a Landau free energy functional. This approach provides…

Strongly Correlated Electrons · Physics 2009-10-31 Gabriel Kotliar

Dynamical mean-field theory (DMFT) has been employed in conjunction with density functional theory (DFT+DMFT) to investigate the metal-insulator transition (MIT) of strongly correlated $3d$ electrons due to quantum confinement. We shed new…

Strongly Correlated Electrons · Physics 2021-06-02 A. D. N. James , M. Aichhorn , J. Laverock

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

We study the emergence of dynamical quantum phase transitions (DQPTs) in a half-filled one-dimensional lattice described by the extended Fermi-Hubbard model, based on tensor network simulations. Considering different initial states, namely…

Strongly Correlated Electrons · Physics 2022-04-29 Juan José Mendoza-Arenas

A simple and very flexible variational approach to the out-of-equilibrium quantum dynamics in strongly correlated electron systems is introduced through a time-dependent Gutzwiller wavefunction. As an application, we study the simple case…

Strongly Correlated Electrons · Physics 2010-09-10 Marco Schiró , Michele Fabrizio

Starting from Newton's equations of motion, we derive a dynamical density functional theory (DDFT) applicable to atomic liquids. The theory has the feature that it requires as input the Helmholtz free energy functional from equilibrium…

Soft Condensed Matter · Physics 2007-05-23 A. J. Archer

First principles methods can provide insight into materials that is otherwise impossible to acquire. Density Functional Theory (DFT) has been the first principles method of choice for numerous applications, but it falls short of predicting…

Materials Science · Physics 2019-07-24 Arpita Paul , Turan Birol

We study the Hubbard model with time-reversal invariant flux and spin-orbit coupling and position-dependent onsite energies on the kagome lattice, using numerical and analytical methods. In particular, we perform calculations using real…

Strongly Correlated Electrons · Physics 2022-06-08 Irakli Titvinidze , Julian Legendre , Karyn Le Hur , Walter Hofstetter

We present a new impurity solver for dynamical mean-field theory based on imaginary-time evolution of matrix product states. This converges the self-consistency loop on the imaginary-frequency axis and obtains real-frequency information in…

Strongly Correlated Electrons · Physics 2015-11-30 F. Alexander Wolf , Ara Go , Ian P. McCulloch , Andrew J. Millis , Ulrich Schollwöck

We develop a novel analytic continuation method for self-energies on the Matsubara domain as computed by quantum Monte Carlo simulations within dynamical mean field theory (QMC+DMFT). Unlike a maximum entropy (maxEn) procedure employed for…

Strongly Correlated Electrons · Physics 2020-07-28 Taegeun Song , Roser Valenti , Hunpyo Lee

We analyze the impact of the lattice geometry on the thermodynamic transition to magnetically ordered phases in strongly interacting electron systems for various Bravais lattices in three and four dimensions, including both local and…

Strongly Correlated Electrons · Physics 2025-12-17 Marvin Leusch , Alessandro Toschi , Andreas Hausoel , Giorgio Sangiovanni , Georg Rohringer

The 2D half-filled Hubbard model is studied by a nonperturbative analytic theory of correlator projection. The original dynamical mean-field approximation (DMFA) is reproduced at the first-order projection and then improved by systematic…

Strongly Correlated Electrons · Physics 2009-11-07 Shigeki Onoda , Masatoshi Imada

We analyze spin density waves (SDWs) in the Hubbard model on a square lattice within the framework of inhomogeneous dynamical mean field theory (iDMFT). Doping the half-filled Hubbard model results in a change of the antiferromagnetic…

Strongly Correlated Electrons · Physics 2014-04-28 Robert Peters , Norio Kawakami
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