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We implement the recently developed influence functional matrix product states approach as impurity solver in equilibrium and nonequilibrium dynamical mean field theory (DMFT) calculations of the single-band Hubbard model. The method yields…

Strongly Correlated Electrons · Physics 2025-07-02 Mithilesh Nayak , Julian Thoenniss , Michael Sonner , Dmitry A. Abanin , Philipp Werner

Electronic correlated systems are often well described by dynamical mean field theory (DMFT). While DMFT studies have mainly focused hitherto on one-particle properties, valuable information is also enclosed into local two-particle Green's…

Strongly Correlated Electrons · Physics 2012-09-25 Georg Rohringer , Angelo Valli , Alessandro Toschi

Quantum embedding approaches involve the self-consistent optimization of a local fragment of a strongly correlated system, entangled with the wider environment. The `energy-weighted' density matrix embedding theory (EwDMET) was established…

Strongly Correlated Electrons · Physics 2021-02-23 P. V. Sriluckshmy , Max Nusspickel , Edoardo Fertitta , George H. Booth

Several recent works have introduced highly compact representations of single-particle Green's functions in the imaginary time and Matsubara frequency domains, as well as efficient interpolation grids used to recover the representations. In…

Strongly Correlated Electrons · Physics 2023-06-28 Nan Sheng , Alexander Hampel , Sophie Beck , Olivier Parcollet , Nils Wentzell , Jason Kaye , Kun Chen

The cost of the exact solution of the many-electron problem is believed to be exponential in the number of degrees of freedom, necessitating approximations that are controlled and accurate but numerically tractable. In this paper, we show…

Strongly Correlated Electrons · Physics 2017-03-02 Dominika Zgid , Emanuel Gull

A new approach is proposed which encompasses the dynamical mean field theory (DMFT) for strongly correlated electron systems and the self-consistent renormalization (SCR) theory of spin fluctuations. The latter is incorporated into DMFT as…

Strongly Correlated Electrons · Physics 2009-10-31 Tetsuro Saso

We extend the nonequilibrium dynamical mean field (DMFT) formalism to inhomogeneous systems by adapting the "real-space" DMFT method to Keldysh Green's functions. Solving the coupled impurity problems using strong-coupling perturbation…

Strongly Correlated Electrons · Physics 2014-08-15 Martin Eckstein , Philipp Werner

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…

Strongly Correlated Electrons · Physics 2009-11-07 M. Potthoff

In recent years, a method for computing spin dynamics at infinite temperature (spinDMFT) was developed. It utilizes the ideas of dynamical mean-field theory for fermions: single-site approximation and a self-consistency condition to…

Strongly Correlated Electrons · Physics 2026-04-24 Przemysław Bieniek , Timo Gräßer , Götz S. Uhrig

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

Machine learning opens new avenues for modelling correlated materials. Quantum embedding approaches, such as the dynamical mean-field theory (DMFT), provide corrections to first-principles calculations for strongly correlated materials,…

Computational Physics · Physics 2021-12-01 Evan Sheridan , Christopher Rhodes , Francois Jamet , Ivan Rungger , Cedric Weber

Nonequilibrium dynamical mean-field theory (DMFT) is developed for the case of the charge-density-wave ordered phase. We consider the spinless Falicov-Kimball model which can be solved exactly. This strongly correlated system is then placed…

Strongly Correlated Electrons · Physics 2016-03-31 O. P. Matveev , A. M. Shvaika , T. P. Devereaux , J. K. Freericks

We implement an efficient numerical method to calculate response functions of complex impurities based on the Density Matrix Renormalization Group (DMRG) and use it as the impurity-solver of the Dynamical Mean Field Theory (DMFT). This…

Strongly Correlated Electrons · Physics 2017-11-27 Y. Núñez Fernández , K. Hallberg

We generalize the dynamical-mean field (DMFT) approximation by including into the DMFT equations some length scale via a momentum dependent ``external'' self-energy S(k). This external self-energy describes non-local dynamical correlations…

Strongly Correlated Electrons · Physics 2009-11-11 M. V. Sadovskii , I. A. Nekrasov , E. Z. Kuchinskii , Th. Pruschke , V. I. Anisimov

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

We have formulated and implemented a fully charge-self-consistent density functional theory plus dynamical mean field theory methodology which enables an efficient calculation of the total energy of realistic correlated electron systems.…

Strongly Correlated Electrons · Physics 2015-06-22 Hyowon Park , Andrew J. Millis , Chris A. Marianetti

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 an efficient impurity solver for the dynamical mean-field theory (DMFT). It is based on the separation of bath degrees of freedom into the low energy and the high energy parts. The former is solved exactly using exact…

Strongly Correlated Electrons · Physics 2017-01-02 Hengyue Li , Ning-Hua Tong

Dynamical Mean-Field Theory (DMFT) replaces the many-body dynamical problem with one for a single degree of freedom in a thermal bath whose features are determined self-consistently. By focusing on models with soft disordered $p$-spin…

Disordered Systems and Neural Networks · Physics 2020-09-02 Ada Altieri , Giulio Biroli , Chiara Cammarota

We present here two alternative schemes designed to correct the high-frequency truncation errors in the numerical treatment of the Bethe-Salpeter equations. The schemes are applicable to all Bethe-Salpeter calculations with a local…

Strongly Correlated Electrons · Physics 2018-08-02 Agnese Tagliavini , Stefan Hummel , Nils Wentzell , Sabine Andergassen , Alessandro Toschi , Georg Rohringer