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Recent progress in extremely correlated Fermi liquid theory (ECFL) and dynamical mean field theory (DMFT) enables us to compute in the $d \to \infty$ limit the resistivity of the $t-J$ model after setting $J\to0$. This is also the…

Strongly Correlated Electrons · Physics 2017-08-23 Wenxin Ding , Rok Žitko , Peizhi Mai , Edward Perepelitsky , B Sriram Shastry

Simulations are carried out based on the dynamical mean-field theory (DMFT) in order to investigate the properties of correlated thin films for various values of the chemical potential, temperature, interaction strength, and applied…

Strongly Correlated Electrons · Physics 2016-05-04 Petar Bakalov , Davoud Nasr Esfahani , Lucian Covaci , Francois Peeters , Jacques Tempere , Jean-Pierre Locquet

Dynamical Mean-Field Theory (DMFT) has opened new perspectives for the investigation of strongly correlated electron systems and greatly improved our understanding of correlation effects in models and materials. In contrast to…

Strongly Correlated Electrons · Physics 2020-07-16 Dieter Vollhardt

We study the two-dimensional $t$-$J$ model with second neighbor hopping parameter $t'$ and in a broad range of doping $\delta$ using a closed set of equations from the {\em Extremely Correlated Fermi Liquid} (ECFL) theory. We obtain…

Strongly Correlated Electrons · Physics 2018-11-14 Peizhi Mai , B. Sriram Shastry

We study the infinite spatial dimensionality limit of the recently developed Extremely Correlated Fermi Liquid (ECFL) theory for the t-J model. We directly analyze the Schwinger equations of motion for the Gutzwiller projected electron…

Strongly Correlated Electrons · Physics 2026-01-16 Edward Perepelitsky , B. Sriram Shastry

We present the theory of an extremely correlated Fermi liquid (ECFL) with $U\to \infty$. This liquid has an underlying Fermi liquid (FL) Greens function that is further caparisoned. The theory leads to two parallel hierarchies of equations…

Strongly Correlated Electrons · Physics 2011-08-09 B. Sriram Shastry

We present the combination of Density Functional Theory (DFT) and Dynamical Mean Field Theory (DMFT) for computing the electron transmission through two-terminals nanoscale devices. The method is then applied to metallic junctions…

Strongly Correlated Electrons · Physics 2022-09-14 Andrea Droghetti , Milos M. Radonjić , Liviu Chioncel , Ivan Rungger

It is widely recognised that the effect of doping into a Mott insulator is complicated and unpredictable, as can be seen by examining the Hall coefficient in high $T_{\rm c}$ cuprates. The doping effect, including the electron-hole doping…

These are introductory lectures to some aspects of the physics of strongly correlated electron systems. I first explain the main reasons for strong correlations in several classes of materials. The basic principles of dynamical mean-field…

Strongly Correlated Electrons · Physics 2009-09-29 Antoine Georges

The dynamical mean-field theory (DMFT) is a widely applicable approximation scheme for the investigation of correlated quantum many-particle systems on a lattice, e.g., electrons in solids and cold atoms in optical lattices. In particular,…

Strongly Correlated Electrons · Physics 2015-05-30 D. Vollhardt , K. Byczuk , M. Kollar

In this thesis we study the strongly-correlated-electron physics of the longstanding H-Tc-superconductivity problem using a non-perturbative method, the Dynamical Mean Field Theory (DMFT), capable to go beyond standard perturbation-theory…

Strongly Correlated Electrons · Physics 2007-10-16 Marcello Civelli

The Mott-Hubbard metal-insulator transition is studied within a simplified version of the Dynamical Mean-Field Theory (DMFT) in which the coupling between the impurity level and the conduction band is approximated by a single pole at the…

Strongly Correlated Electrons · Physics 2009-10-31 R. Bulla , M. Potthoff

A detailed exact-diagonalization study is made for the doping dependence of the single-particle spectral function $A({\bf k},\omega)$ and momentum distribution function $n({\bf k})$ of the two-dimensional $t$$-$$J$ model as a representative…

Condensed Matter · Physics 2007-05-23 Y. Ohta , R. Eder

In this paper, we present a theoretical framework for understanding the Extremely Correlated Fermi Liquid (ECFL) phenomenon within the $U=\infty$ Hubbard model. Our approach involves deriving equations of motion for the single-particle…

Strongly Correlated Electrons · Physics 2024-03-13 S. R. Hassan , Gopal Prakash , N. S. Vidhyadhiraja , T. V. Ramakrishnan

We find Marginal Fermi Liquid (MFL) like behavior in the Hubbard model on a square lattice for a range of hole doping and on-site interaction parameter U. Thereby we use a self-consistent projection operator method. It enables us to compute…

Strongly Correlated Electrons · Physics 2009-11-11 Y. Kakehashi , P. Fulde

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

A system of soft ellipsoid molecules confined between two planar walls is studied using classical Density Functional Theory (DFT). Both the isotropic and nematic phases are considered. The excess free energy is evaluated using two different…

Materials Science · Physics 2009-11-10 David Cheung , Friederike Schmid

We provide a review of recently-develop dynamical mean-field theory (DMFT) approaches to the general problem of strongly correlated electronic systems with disorder. We first describe the standard DMFT approach, which is exact in the limit…

Strongly Correlated Electrons · Physics 2023-02-16 E. Miranda , V. Dobrosavljevic

In the framework of dynamical mean field theory (DMFT) we analyze Hall effect in doped Mott insulator as a parent cuprate superconductor. We consider the partial filling (hole doping) of the lower Hubbard band and calculate the dependence…

Strongly Correlated Electrons · Physics 2022-05-20 E. Z. Kuchinskii , N. A. Kuleeva , D. I. Khomskii , M. V. Sadovskii

Dynamical mean-field theory (DMFT) is a non-perturbative technique for the investigation of correlated electron systems. Its combination with the local density approximation (LDA) has recently led to a material-specific computational scheme…

Strongly Correlated Electrons · Physics 2009-11-10 D. Vollhardt , K. Held , G. Keller , R. Bulla , Th. Pruschke , I. A. Nekrasov , V. I. Anisimov
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