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We introduce a nested optimization procedure using semi-definite relaxation for the fitting step in Hamiltonian-based cluster dynamical mean-field theory (DMFT) methodologies. We show that the proposed method is more efficient and flexible…

Strongly Correlated Electrons · Physics 2020-01-31 Carlos Mejuto-Zaera , Leonardo Zepeda-Núñez , Michael Lindsey , Norm Tubman , K. Birgitta Whaley , Lin Lin

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

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

We demonstrate an algebraic construction of frequency-dependent bath orbitals which can be used in a robust and rigorously self-consistent DMFT-like embedding method, here called $\omega-$DMFT, suitable for use with Hamiltonian-based…

Strongly Correlated Electrons · Physics 2020-02-05 Max Nusspickel , George H. Booth

We present an efficient ab initio dynamical mean-field theory (DMFT) implementation for quantitative simulations in solids. Our DMFT scheme employs ab initio Hamiltonians defined for impurities comprising the full unit cell or a supercell…

Strongly Correlated Electrons · Physics 2020-03-05 Tianyu Zhu , Zhi-Hao Cui , Garnet Kin-Lic Chan

The convergence to the self-consistency in the dynamical-mean-field-theory (DMFT) calculations for models of correlated electron systems can be significantly accelerated by using an appropriate mixing of hybridization functions which are…

Strongly Correlated Electrons · Physics 2009-11-11 Rok Zitko

Dynamical mean-field theory (DMFT) is a useful tool to analyze models of strongly correlated fermions like the Hubbard model. In DMFT, the lattice of the model is replaced by a single impurity site embedded in an effective bath. The…

Quantum Physics · Physics 2026-03-27 Stefan Wolf , Martin Eckstein , Michael J. Hartmann

We present a time-domain iteration scheme for solving the Dynamical Mean-Field Theory (DMFT) self-consistent equations using retarded Green's functions in real time. Unlike conventional DMFT approaches that operate in imaginary time or…

Strongly Correlated Electrons · Physics 2026-01-28 Chakradhar Rangi , Aadi Singh , Ka-Ming Tam

We present an embedding approach based on localized basis functions which permits an efficient application of the dynamical mean field theory (DMFT) to inhomogeneous correlated materials, such as semi-infinite surfaces and heterostructures.…

Strongly Correlated Electrons · Physics 2009-11-13 H. Ishida , A. Liebsch

Predicting the mean-field Hamiltonian matrix in density functional theory is a fundamental formulation to leverage machine learning for solving molecular science problems. Yet, its applicability is limited by insufficient labeled data for…

Machine Learning · Computer Science 2024-06-06 He Zhang , Chang Liu , Zun Wang , Xinran Wei , Siyuan Liu , Nanning Zheng , Bin Shao , Tie-Yan Liu

Accurate and reliable algorithms to solve complex impurity problems are instrumental to a routine use of quantum embedding methods for material discovery. In this context, we employ an efficient selected configuration interaction impurity…

Strongly Correlated Electrons · Physics 2025-12-12 Diego Florez-Ablan , Carlos Mejuto-Zaera , Massimo Capone

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

Since the first investigation of the Hubbard model in the limit of infinite dimensions by Metzner and Vollhardt, dynamical mean-field theory (DMFT) has become a very powerful tool for the investigation of lattice models of correlated…

Strongly Correlated Electrons · Physics 2007-05-23 Ralf Bulla

In the pursuit of accurate descriptions of strongly correlated quantum many-body systems, dynamical mean-field theory (DMFT) has been an invaluable tool for elucidating the spectral properties and quantum phases of both phenomenological…

Strongly Correlated Electrons · Physics 2019-10-07 Carlos Mejuto-Zaera , Norm M. Tubman , K. Birgitta Whaley

We present an inhomogeneous dynamical mean field theory (I-DMFT) that is suitable to investigate electron-lattice interactions in non-translationally invariant and/or inhomogeneous systems. The presented approach, whose only assumption is…

Materials Science · Physics 2018-10-26 Kevin-Davis Richler , Simone Fratini , Sergio Ciuchi , Didier Mayou

Simulating quantum many-body systems is believed to be one of the most promising applications of near-term noisy quantum computers. However, in the near term, system size limitation will remain a severe barrier for applications in materials…

Strongly Correlated Electrons · Physics 2024-05-10 Anshumitra Baul , Herbert F Fotso , Hanna Terletska , Juana Moreno , Ka-Ming Tam

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

Cluster Dynamical Mean-Field Theory (CDMFT) with an Exact Diagonalization (ED) impurity solver faces exponential scaling limitations from the Hilbert space dimension. We introduce Subbath CDMFT (SB-CDMFT), an alternative to the conventional…

Strongly Correlated Electrons · Physics 2026-04-15 A. de Lagrave , D. Sénéchal , M. Charlebois

We investigate the dynamical mean-field theory (DMFT) from a quantum chemical perspective. Dynamical mean-field theory offers a formalism to extend quantum chemical methods for finite systems to infinite periodic problems within a local…

Strongly Correlated Electrons · Physics 2016-11-15 Dominika Zgid , Garnet Kin-Lic Chan

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
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