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The single particle Green's function provides valuable information on the momentum and energy-resolved spectral properties for a strongly correlated system. In large-scale numerical calculations using quantum Monte Carlo (QMC), dynamical…

Strongly Correlated Electrons · Physics 2024-10-01 Maksymilian Kliczkowski , Lauren Keyes , Sayantan Roy , Thereza Paiva , Mohit Randeria , Nandini Trivedi , Maciej M. Maska

We present ComCTQMC, a GPU accelerated quantum impurity solver. It uses the continuous-time quantum Monte Carlo (CTQMC) algorithm wherein the partition function is expanded in terms of the hybridisation function (CT-HYB). ComCTQMC supports…

Strongly Correlated Electrons · Physics 2021-07-28 Corey Melnick , Patrick Sémon , Kwangmin Yu , Nicholas D'Imperio , André-Marie Tremblay , Gabriel Kotliar

A reformulation of site-occupation embedding theory (SOET) in terms of Green's functions is presented. Referred to as site-occupation--Green's function embedding theory (SOGET), this novel extension of density-functional theory for model…

Strongly Correlated Electrons · Physics 2019-11-07 Laurent Mazouin , Matthieu Saubanère , Emmanuel Fromager

Based on an equation of motion approach the single impurity Anderson model(SIAM) is reexamined. Using the cluster expansions the equations of motion of Green functions are transformed into the corresponding equations of motion of connected…

Strongly Correlated Electrons · Physics 2009-10-31 Hong-Gang Luo , Zu-Jian Ying , Shun-Jin Wang

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…

Strongly Correlated Electrons · Physics 2015-05-27 Christoph Jung , Aljoscha Wilhelm , Hartmut Hafermann , Sergey Brener , Alexander Lichtenstein

A recently developed continuous time solver based on an expansion in hybridization about an exactly solved local limit is reformulated in a manner appropriate for general classes of quantum impurity models including spin exchange and pair…

Strongly Correlated Electrons · Physics 2009-11-11 Philipp Werner , Andrew J. Millis

We propose a method that incorporates explicit derivative discontinuity of the total energy with respect to the number of electrons and treats both delocalization and static correlation effects in density functional calculations. Our…

Strongly Correlated Electrons · Physics 2018-03-08 Fei Zhou , Vidvuds Ozolins

An approximate analytical scheme of the dynamical mean field theory (DMFT) is developed for the description of the electron (ion) lattice systems with Hubbard correlations within the asymmetric Hubbard model where the chemical potentials…

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

While the traditional local-density approximation (LDA) cannot describe Mott insulators, {\it ab-initio} determination of the Hubbard $U$, for example, limits LDA-plus dynamical mean field theory (DMFT) approaches. Here, we attempt to…

Strongly Correlated Electrons · Physics 2009-02-12 M. S. Laad , L. Hozoi , L. Craco

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…

Strongly Correlated Electrons · Physics 2018-12-19 Edoardo Fertitta , George H. Booth

The question if a Mott insulator and a band insulator are fundamentally different has been the matter of intensive research recently. Here we consider a simple model which allows by tuning one parameter to go continously from a Mott…

Strongly Correlated Electrons · Physics 2009-11-11 Andreas Fuhrmann , David Heilmann , Hartmut Monien

Determining the ground state of multi-orbital Hubbard models is critical for understanding strongly correlated electron materials, yet existing methods struggle to simultaneously reach zero temperature and infinite system size. The…

Strongly Correlated Electrons · Physics 2023-11-08 Zhengqian Cheng , Chris A. Marianetti

We analyze the nature of Mott metal-insulator transition in multiorbital systems using dynamical mean-field theory (DMFT). The auxiliary multiorbital quantum impurity problem is solved using continuous time quantum Monte Carlo (CTQMC) and…

Strongly Correlated Electrons · Physics 2017-02-22 Jorge I. Facio , V. Vildosola , D. J. García , Pablo S. Cornaglia

We present a deterministic algorithm for the efficient evaluation of imaginary time diagrams based on the recently introduced discrete Lehmann representation (DLR) of imaginary time Green's functions. In addition to the efficient…

Strongly Correlated Electrons · Physics 2024-11-21 Jason Kaye , Zhen Huang , Hugo U. R. Strand , Denis Golež

We thoroughly analyze the divergences of the irreducible vertex functions occurring in the charge channel of the half-filled Hubbard model in close proximity to the Mott metal-insulator transition (MIT). In particular, by systematically…

Strongly Correlated Electrons · Physics 2023-11-21 Mathias Pelz , Severino Adler , Matthias Reitner , Alessandro Toschi

A simple impurity solver is shown to capture the impurity-induced superconducting subgap states in quantitative agreement with the numerical renormalization group and quantum Monte-Carlo simulations. The solver is based on the exact…

Superconductivity · Physics 2023-12-21 Virgil V. Baran , Emil J. P. Frost , Jens Paaske

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 develop the extended dynamical mean field theory (E-DMFT) with a view towards realistic applications. {\bf 1)} We introduce an intuitive derivation of the E-DMFT formalism. By identifying the Hartree contributions before the E-DMFT…

Strongly Correlated Electrons · Physics 2009-11-07 Ping Sun , Gabriel Kotliar

We present an embedding scheme for periodic systems that facilitates the treatment of the physically important part (here the unit cell) with advanced electronic-structure methods, that are computationally too expensive for periodic…

Materials Science · Physics 2016-04-08 Wael Chibani , Xinguo Ren , Matthias Scheffler , Patrick Rinke

We present an infinite Grassmann time-evolving matrix product operator method for quantum impurity problems, which directly works in the steady state. The method embraces the well-established infinite matrix product state algorithms with…

Strongly Correlated Electrons · Physics 2024-08-09 Chu Guo , Ruofan Chen