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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…

Strongly Correlated Electrons · Physics 2021-08-04 Ryota Mizuno , Masayuki Ochi , Kazuhiko Kuroki

We apply the approximate analytic methods to the investigation of the band structure of the asymmetric Hubbard model where the chemical potentials and electron transfer parameters depend on the electron spin (type of quasiparticles). The…

Strongly Correlated Electrons · Physics 2009-11-11 Ihor V. Stasyuk , Orest B. Hera

The Dynamical Mean Field Theory (DMFT) is a powerful tool for calculating highly correlated systems (both bosonic and fermionic) in a state of thermodynamic equilibrium. However, in the case of non-equilibrium states, the method has…

Strongly Correlated Electrons · Physics 2023-11-07 A. Karpov , G. Sultanov , E. Polyakov , A. Rubtsov

We give a detailed discussion of the recently developed Generalized Dynamical Mean-Field Theory (GDMFT) for a mixture of bosonic and fermionic particles. We show that this method is non-perturbative and exact in infinite dimensions and…

Other Condensed Matter · Physics 2009-04-07 I. Titvinidze , M. Snoek , W. Hofstetter

High-harmonic generation (HHG) in strongly correlated Mott insulators is investigated using exact diagonalization and time-dependent density-matrix propagation of a laser-driven one-dimensional Hubbard chain. By projecting onto equilibrium…

Optics · Physics 2026-05-05 Tao-Yuan Du , Hui-Ru Li , Bo Li , Ruifeng Lu

We present the method of complementary ensemble empirical mode decomposition (CEEMD) and Hilbert-Huang transform (HHT) for analyzing nonstationary financial time series. This noise-assisted approach decomposes any time series into a number…

Computational Finance · Quantitative Finance 2021-05-25 Tim Leung , Theodore Zhao

Mean-field theories have proven to be efficient tools for exploring diverse phases of matter, complementing alternative methods that are more precise but also more computationally demanding. Conventional mean-field theories often fall short…

Strongly Correlated Electrons · Physics 2024-09-04 Junyi Zhang , Zhengqian Cheng

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

The paramagnetic phase of the one-band Hubbard model is studied at zero-temperature, within the framework of dynamical mean-field theory, and for general particle-hole asymmetry where a doping-induced Mott transition occurs. Our primary…

Strongly Correlated Electrons · Physics 2016-02-01 David E. Logan , Martin R. Galpin

A density functional theory (DFT) approach to computing transition metal oxide heat of formation without adjustable parameters is presented. Different degrees of $d$-electron localization in oxides are treated within the DFT+$U$ approach…

Materials Science · Physics 2022-04-01 Johannes Voss

High harmonic generation (HHG) is a highly nonlinear emission process in which systems driven by intense laser pulses emit integer multiples (harmonics) of the driving field. This feature is considered universal to all occurrences of HHG.…

Dynamical mean-field approximation with explicit pairing is utilized to study the properties of a two-component Fermi gas at unitarity. The problem is approximated by the lattice Hubbard Hamiltonian, and the continuum limit is realized by…

Statistical Mechanics · Physics 2009-11-13 Nir Barnea

A systematically improvable wave function is proposed for the numerical solution of strongly correlated systems. With a stochastic optimization method, based on the auxiliary field quantum Monte Carlo technique, an effective temperature…

Strongly Correlated Electrons · Physics 2022-03-22 Sandro Sorella

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…

Quantum Gases · Physics 2011-10-21 Andreas D. Pfister , Eberhard Jakobi , Tobias Gottwald , Peter G. J. van Dongen

We report for the first time a comprehensive study of the fourth rank tensor describing third harmonic generation (THG) and electric field induced second harmonic (EFISH) in centrosymmetric material from two different viewpoints: Group…

Materials Science · Physics 2015-05-26 Adalberto Alejo-Molina , Kurt Hingerl. , Hendradi Hardhienata

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…

Strongly Correlated Electrons · Physics 2026-03-04 S. D. Semenov , A. I. Lichtenstein , A. N. Rubtsov

To explore correlated electrons in the presence of local and non-local disorder, the Blackman-Esterling-Berk method for averaging over off-diagonal disorder is implemented into dynamical mean-field theory using tensor notation. The impurity…

Strongly Correlated Electrons · Physics 2021-07-21 A. Weh , Y. Zhang , A. Östlin , H. Terletska , D. Bauernfeind , K. -M. Tam , H. G. Evertz , K. Byczuk , D. Vollhardt , L. Chioncel

We propose a straightforward and efficient procedure to perform dynamical mean-field (DMFT) calculations on the top of the static mean-field LDA+U approximation. Starting from self-consistent LDA+U ground state we included multiplet…

Materials Science · Physics 2024-08-05 Alexander Shick , Jindřich Kolorenč , Ladislav Havela , Václav Drchal , Thomas Gouder

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

Density of states, dynamic (optical) conductivity and phase diagram of paramagnetic two-dimensional Anderson-Hubbard model with strong correlations and disorder are analyzed within the generalized dynamical mean-field theory (DMFT+Sigma…

Strongly Correlated Electrons · Physics 2010-05-17 E. Z. Kuchinskii , N. A. Kuleeva , I. A. Nekrasov , M. V. Sadovskii
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