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One of the most challenging problems in solid state systems is the microscopic analysis of electronic correlations. A paramount minimal model that encodes correlation effects is the Hubbard Hamiltonian, which -- albeit its simplicity -- is…

强关联电子 · 物理学 2022-11-03 Karim Zantout , Steffen Backes , Roser Valenti

In this thesis we study the strongly-correlated-electron physics of the longstanding H-Tc-superconductivity problem using a non-perturbative method, the Dynamical Mean Field Theory (DMFT), capable to go beyond standard perturbation-theory…

强关联电子 · 物理学 2007-10-16 Marcello Civelli

In this paper, we investigate the impact of nonlocal correlations on charge fluctuations in the two-dimensional single-band Hubbard model close to the Mott metal-to-insulator transition, employing the ladder dynamical vertex approximation.…

强关联电子 · 物理学 2025-10-21 Irakli Titvinidze , Julian Stobbe , Marvin Leusch , Georg Rohringer

Even at weak to intermediate coupling, the Hubbard model poses a formidable challenge. In two dimensions in particular, standard methods such as the Random Phase Approximation are no longer valid since they predict a finite temperature…

强关联电子 · 物理学 2015-05-28 A. -M. S. Tremblay

We address the nature of the Mott transition in the Hubbard model at half-filling using cluster Dynamical Mean Field Theory (DMFT). We compare cluster DMFT results with those of single site DMFT. We show that inclusion of the short range…

强关联电子 · 物理学 2009-11-13 H. Park , K. Haule , G. Kotliar

The dynamical fluctuations in approaches such as dynamical mean-field theory (DMFT) allow for the self-consistent optimization of a local fragment, hybridized with a true correlated environment. We show that these correlated environmental…

强关联电子 · 物理学 2018-12-19 Edoardo Fertitta , George H. Booth

We present an efficient diagrammatic method to describe nonlocal correlation effects in lattice fermion Hubbard-like models, which is based on a change of variables in the Grassmann path integrals. The new fermions are dual to the original…

强关联电子 · 物理学 2009-11-13 A. N. Rubtsov , M. I. Katsnelson , A. I. Lichtenstein , A. Georges

Dynamical mean-field theory (DMFT) provides an optimal local approximation for correlated lattice systems by mapping the lattice onto a self-consistent effective impurity model. To account for the missing long-range correlations, we propose…

强关联电子 · 物理学 2026-03-04 S. D. Semenov , A. I. Lichtenstein , A. N. Rubtsov

Using dynamical-mean-field theory for clusters, we study the two-dimensional Hubbard model in which electrons are coupled with the orthorhombic lattice distortions through the modulation in the hopping matrix. Instability towards…

强关联电子 · 物理学 2015-06-05 Satoshi Okamoto , Nobuo Furukawa

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…

强关联电子 · 物理学 2015-07-13 Naoto Tsuji , Peter Barmettler , Hideo Aoki , Philipp Werner

In recent literature on trapped ultracold atomic gases, calculations for 2D-systems are often done within the Dynamical Mean Field Theory (DMFT) approximation. In this paper, we compare DMFT to a fully two-dimensional, self-consistent…

量子气体 · 物理学 2011-10-21 Andreas D. Pfister , Eberhard Jakobi , Tobias Gottwald , Peter G. J. van Dongen

The Hubbard model represents the fundamental model for interacting quantum systems and electronic correlations. Using the two-dimensional half-filled Hubbard model at weak coupling as a testing ground, we perform a comparative study of a…

To describe pseudogap regime in Bi2212 we employ novel generalized ab initio LDA+DMFT+Sigma_k hybrid scheme. This scheme is based on the strategy of one of the most powerfull computational tool for real correlated materials LDA+DMFT. Here…

强关联电子 · 物理学 2007-09-18 E. Z. Kuchinskii , I. A. Nekrasov , Z. V. Pchelkina , M. V. Sadovskii

Using the dynamical mean-field theory (DMFT) as a `booster-rocket', the functional renormalization group (fRG) can be upgraded from a weak-coupling method to a powerful computation tool for strongly interacting fermion systems. The strong…

强关联电子 · 物理学 2019-03-13 Demetrio Vilardi , Ciro Taranto , Walter Metzner

The dynamical mean field theory (DMFT), which is successful in the study of strongly correlated fermions, was recently extended to boson systems [Phys. Rev. B {\textbf 77}, 235106 (2008)]. In this paper, we employ the bosonic DMFT to study…

量子气体 · 物理学 2015-05-13 Wen-Jun Hu , Ning-Hua Tong

We investigate the Hubbard model on the triangular lattice at half-filling using the dynamical cluster approximation (DCA) and dual fermion (DF) methods in combination with continuous-time quantum Monte carlo (CT QMC) and semiclassical…

强关联电子 · 物理学 2009-11-13 Hunpyo Lee , Gang Li , Hartmut Monien

The Mott-Hubbard metal-insulator transition is studied within a simplified version of the Dynamical Mean-Field Theory (DMFT) in which the coupling between the impurity level and the conduction band is approximated by a single pole at the…

强关联电子 · 物理学 2009-10-31 R. Bulla , M. Potthoff

We present a formalism for strongly correlated systems with fermions coupled to bosonic modes. We construct the three-particle irreducible functional $\mathcal{K}$ by successive Legendre transformations of the free energy of the system. We…

强关联电子 · 物理学 2016-06-22 Thomas Ayral , Olivier Parcollet

We study the Hubbard model at half band-filling on a Bethe lattice with infinite coordination number in the paramagnetic insulating phase at zero temperature. We use the dynamical mean-field theory (DMFT) mapping to a single-impurity…

强关联电子 · 物理学 2009-11-10 Satoshi Nishimoto , Florian Gebhard , Eric Jeckelmann

One of the distinctive features of hole-doped cuprate superconductors is the onset of a `pseudogap' below a temperature $T^*$. Recent experiments suggest that there may be a connection between the existence of the pseudogap and the topology…