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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…

强关联电子 · 物理学 2009-11-07 M. Potthoff

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…

强关联电子 · 物理学 2013-11-21 Michael Kinza , Carsten Honerkamp

We present the effective action and self-consistency equations for the bosonic dynamical mean field (B-DMFT) approximation to the bosonic Hubbard model and show that it provides remarkably accurate phase diagrams and correlation functions.…

强关联电子 · 物理学 2013-05-29 Peter Anders , Emanuel Gull , Lode Pollet , Matthias Troyer , Philipp Werner

We review two analytical approaches in Dynamical Mean-Field Theory (DMFT) based on a perturbation theory expansion over the electron hopping to and from the self consistent environment. In the first approach the effective single impurity…

强关联电子 · 物理学 2007-05-23 I. V. Stasyuk , A. M. Shvaika

Within the framework of exact diagonalization (ED), we compute the ground state of Anderson impurity problem using the variational approach based on the configuration interaction (CI) expansion. We demonstrate that an accurate ground state…

强关联电子 · 物理学 2013-07-19 Chungwei Lin , Alexander A. Demkov

Although several impurity solvers in the dynamical mean field theory (DMFT) have been proposed, especially in multi-band systems, there are practical difficulties arising from a trade-off between numerical costs and reliability. In this…

强关联电子 · 物理学 2021-08-04 Ryota Mizuno , Masayuki Ochi , Kazuhiko Kuroki

Recent progress in treating the dynamically screened nature of the Coulomb interaction in strongly correlated lattice models and materials is reviewed with a focus on computational schemes based on the dynamical mean field approximation. We…

强关联电子 · 物理学 2016-08-09 Philipp Werner , Michele Casula

Numerical methods capable of handling nonequilibrium impurity models are essential for the study of transport problems and the solution of the nonequilibrium dynamical mean field theory (DMFT) equations. In the strong correlation regime,…

强关联电子 · 物理学 2025-04-01 Aaram J. Kim , Philipp Werner

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…

强关联电子 · 物理学 2013-12-06 Christian Gramsch , Karsten Balzer , Martin Eckstein , Marcus Kollar

A fast impurity solver for the dynamical mean field theory(DMFT) named Two Mode Approxi- mation (TMA) is proposed based on the Gutzwiller variational approach, which captures the main features of both the coherent and incoherent motion of…

强关联电子 · 物理学 2010-04-07 Jia-Ning Zhuang , Lei Wang , Zhong Fang , Xi Dai

We propose an improved fast multi-orbital impurity solver for the dynamical mean field theory (DMFT) based on equations of motion (EOM) of Green's functions and decoupling scheme. In this scheme the inter-orbital Coulomb interactions are…

强关联电子 · 物理学 2015-05-30 Qingguo Feng , P. M. Oppeneer

We describe the use of coupled-cluster theory as an impurity solver in dynamical mean-field theory (DMFT) and its cluster extensions. We present numerical results at the level of coupled-cluster theory with single and double excitations…

We solve the impurity problem which arises within nonequilibrium dynamical mean-field theory for the Hubbard model by means of a self-consistent perturbation expansion around the atomic limit. While the lowest order, known as the…

强关联电子 · 物理学 2013-05-29 Martin Eckstein , Philipp Werner

We present an impurity solver based on adaptively truncated Hilbert spaces. The solver is particularly suitable for dynamical mean-field theory in circumstances where quantum Monte Carlo approaches are ineffective. It exploits the sparsity…

强关联电子 · 物理学 2017-08-30 Ara Go , Andrew J. Millis

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…

强关联电子 · 物理学 2013-06-11 D. Rost , F. Assaad , N. Blümer

The formalism for exactly calculating the retarded and advanced Green's functions of strongly correlated lattice models in a uniform electric field is derived within dynamical mean-field theory. To illustrate the method, we solve for the…

强关联电子 · 物理学 2009-07-09 A. V. Joura , J. K. Freericks , Th. Pruschke

We provide a mathematical analysis of the Dynamical Mean-Field Theory, a celebrated representative of a class of approximations in quantum mechanics known as embedding methods. We start by a pedagogical and self-contained mathematical…

数学物理 · 物理学 2024-06-06 Éric Cancès , Alfred Kirsch , Solal Perrin-Roussel

In this article we formulate the superperturbation theory for the Anderson impurity model on the real axis. The resulting impurity solver allows to evaluate dynamical quantities without numerical analytical continuation by the maximum…

This work reports a theoretical framework that combines the auxiliary coherent potential approximation (ACPA-DMFT) with dynamical mean-field theory to study strongly correlated and disordered electronic systems with both diagonal and…

强关联电子 · 物理学 2025-02-12 Zelei Zhang , Jiawei Yan , Li Huang , Youqi Ke

Dynamical mean-field theory (DMFT) is a non-perturbative technique for the investigation of correlated electron systems. Its combination with the local density approximation (LDA) has recently led to a material-specific computational scheme…

强关联电子 · 物理学 2009-11-10 D. Vollhardt , K. Held , G. Keller , R. Bulla , Th. Pruschke , I. A. Nekrasov , V. I. Anisimov