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Simulations of extended quantum systems are typically performed by extrapolating results of a sequence of finite-system-size simulations to the thermodynamic limit. In the quantum Monte Carlo community, twist-averaging was pioneered as an…

Strongly Correlated Electrons · Physics 2022-12-14 Sergei Iskakov , Hanna Terletska , Emanuel Gull

Strongly correlated systems containing d/f-electrons present a challenge to conventional density functional theory (DFT), such as the widely used local density approximation (LDA) or generalized gradient approximation (GGA). In this work,…

Strongly Correlated Electrons · Physics 2024-01-19 Bei-Lei Liu , Yue-Chao Wang , Yu Liu , Hai-Feng Liu , Hai-Feng Song

We investigate the Mott transition using a cluster extension of dynamical mean field theory (DMFT). In the absence of frustration we find no evidence for a finite temperature Mott transition. Instead, in a frustrated model, we observe…

Strongly Correlated Electrons · Physics 2009-11-10 O. Parcollet , G. Biroli , G. Kotliar

Self-interaction error (SIE), arising from the imperfect cancellation of the spurious classical Coulomb interaction between an electron and itself, is a persistent challenge in modern density functional approximations. This issue is…

It is well known that cellular dynamical mean-field theory (CDMFT) leads to the artificial breaking of translation invariance. In spite of this, it is one of the most successful methods to treat strongly correlated electrons systems. Here,…

Strongly Correlated Electrons · Physics 2020-01-01 S. Verret , J. Roy , A. Foley , M. Charlebois , D. Sénéchal , A. -M. S. Tremblay

Pseudogap physics in strongly correlated systems is essentially scale dependent. We generalize the dynamical mean field theory (DMFT) by including into the DMFT equations dependence on correlation length of pseudogap fluctuations via…

Strongly Correlated Electrons · Physics 2007-05-23 E. Z. Kuchinskii , I. A. Nekrasov , M. V. Sadovskii

We generalize the recently introduced dual fermion (DF) formalism for disordered fermion systems by including the effect of interactions. For an interacting disordered system the contributions to the full vertex function have to be…

Strongly Correlated Electrons · Physics 2014-05-21 S. -X. Yang , P. Haase , H. Terletska , Z. Y. Meng , T. Pruschke , J. Moreno , M. Jarrell

We present an accurate implementation of total energy calculations into the local density approximation plus dynamical mean-field theory (LDA+DMFT) method. The electronic structure problem is solved through the full potential linear…

Strongly Correlated Electrons · Physics 2009-03-16 I. Di Marco , J. Minár , S. Chadov , M. I. Katsnelson , H. Ebert , A. I. Lichtenstein

The degrees of freedom that confer to strongly correlated systems their many intriguing properties also render them fairly intractable through typical perturbative treatments. For this reason, the mechanisms responsible for these…

Strongly Correlated Electrons · Physics 2022-02-25 Herbert F Fotso , Ka-Ming Tam , Juana Moreno

The density-matrix-renormalization-group (DMRG) method and the Hartree-Fock (HF) approximation with the charge-density-wave (CDW) instability are used to study a formation and condensation of excitonic bound states in the generalized…

Strongly Correlated Electrons · Physics 2017-02-22 Pavol Farkasovsky

The Falicov-Kimball model was introduced in 1969 as a statistical model for metal-insulator transitions; it includes itinerant and localized electrons that mutually interact with a local Coulomb interaction and is the simplest model of…

Strongly Correlated Electrons · Physics 2009-11-10 J. K. Freericks , V. Zlatic

Dynamical Mean-Field Theory (DMFT) has established itself as a reliable and well-controlled approximation to study correlation effects in bulk solids and also two-dimensional systems. In combination with standard density-functional theory…

Atomic and Molecular Clusters · Physics 2015-05-30 V. Turkowski , A. Kabir , N. Nayyar , Talat S. Rahman

Accurate many-body treatments of condensed-phase systems are challenging because correlated solvers such as full configuration interaction (FCI) and the density matrix renormalization group (DMRG) scale exponentially with system size.…

We introduce the semiclassical limit to electronic systems by taking the limit $\hbar\rightarrow 0$ in the solution of Schr\"odinger equations. We show that this limit is closely related to one type of strong correlation that is…

Computational Physics · Physics 2025-01-07 Yunzhi Li , Chen Li

We present an accurate local density-functional for electronic-structure calculations within the density functional theory (DFT). The functional is derived by analyzing the structure of the standard perturbative expansion of the correlation…

Materials Science · Physics 2024-11-28 Mario Benites , Angel Rosado , Efstratios Manousakis

We explore the use of exact diagonalization methods for solving the self consistent equations of the cellular dynamical mean field theory (CDMFT) for the one dimensional regular and extended Hubbard models. We investigate the nature of the…

Strongly Correlated Electrons · Physics 2007-05-23 C. J. Bolech , S. S. Kancharla , G. Kotliar

A dynamical generalisation of the nonlocal coherent-potential approximation is derived based upon the functional integral approach to the interacting electron problem. The free energy is proven to be variational with respect to the…

Strongly Correlated Electrons · Physics 2014-11-25 D. A. Rowlands , Yu-Zhong Zhang

We introduce a cluster DMFT (Dynamical Mean Field Theory) approach to study the normal state of the iron pnictides and chalcogenides. In the regime of moderate mass renormalizations, the self-energy is very local, justifying the success of…

Strongly Correlated Electrons · Physics 2017-05-17 Patrick Sémon , Kristjan Haule , Gabriel Kotliar

We compare the accuracy of two cluster extensions of Dynamical Mean-Field Theory in describing d-wave superconductors, using as a reference model a saddle-point t-J model which can be solved exactly in the thermodynamic limit and at the…

Strongly Correlated Electrons · Physics 2009-11-13 A. Isidori , M. Capone

We generalize the dynamical - mean field theory (DMFT) by including into the DMFT equations dependence on correlation length of pseudogap fluctuations via additional (momentum dependent) self - energy. This self - energy describes non -…

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