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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…

强关联电子 · 物理学 2011-08-09 B. Sriram Shastry

A strong-coupling series expansion for the Green's function and the extremely-correlated Fermi liquid (ECFL) theory are used to calculate the moments of the electronic spectral functions of the infinite-U Hubbard model. Results from these…

强关联电子 · 物理学 2026-01-16 Ehsan Khatami , Daniel Hansen , Edward Perepelitsky , Marcos Rigol , 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…

强关联电子 · 物理学 2026-01-16 Edward Perepelitsky , B. Sriram Shastry

We formulate the theory of an extremely correlated electron liquid, generalizing the standard Fermi liquid. This quantum liquid has specific signatures in various physical properties, such as the Fermi surface volume and the narrowing of…

强关联电子 · 物理学 2010-01-22 B Sriram Shastry

The recently developed theory of extremely correlated Fermi liquids (ECFL), applicable to models involving the physics of Gutzwiller projected electrons, shows considerable promise in understanding the phenomena displayed by the $t$-$J$…

强关联电子 · 物理学 2015-05-27 Edward Perepelitsky , B. Sriram Shastry

We apply the recently developed extremely correlated Fermi liquid theory to the Anderson impurity model, in the extreme correlation limit. We develop an expansion in a parameter \lambda, related to n_d, the average occupation of the…

强关联电子 · 物理学 2026-01-14 B. Sriram Shastry , Edward Perepelitsky , Alex C. Hewson

We have developed a semi-analytical framework formulated in the canonical fermion representation to investigate strongly correlated electron systems. We consider the U=$\infty$ Hubbard model and used the equation of motion method to…

强关联电子 · 物理学 2026-03-18 Debanand Sa , Anirban Dutta

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…

强关联电子 · 物理学 2017-08-23 Wenxin Ding , Rok Žitko , Peizhi Mai , Edward Perepelitsky , B Sriram Shastry

We present the detailed formalism of the extremely correlated Fermi liquid theory, developed for treating the physics of the t-J model. We start from the exact Schwinger equation of motion for the Greens function for projected electrons,…

强关联电子 · 物理学 2013-04-05 B. Sriram Shastry

The t-J model is studied using a novel and rigorous mapping of the Gutzwiller projected electrons, in terms of canonical electrons. The mapping has considerable similarity to the Dyson-Maleev transformation relating spin operators to…

强关联电子 · 物理学 2014-02-28 B Sriram Shastry

Low energy properties of the metallic state of the 2-dimensional tJ model are presented at various densities and temperatures for second neighbor hopping t', with signs that are negative or positive corresponding to hole or electron doping.…

强关联电子 · 物理学 2026-01-16 B. Sriram Shastry , Peizhi Mai

In this paper we review the current experimental and theoretical situation of the description of non-Fermi liquid behavior (NFL) in U and Ce intermetallics. We focus on the magnetic and thermodynamic properties. We also discuss a recent…

强关联电子 · 物理学 2007-05-23 A. H. Castro Neto

We present a formalism for strongly correlated systems with fermions coupled to bosonic modes. We construct the three-particle irreducible functional $\mathcal{K}$ by successive Legendre transformations of the free energy of the system. We…

强关联电子 · 物理学 2016-06-22 Thomas Ayral , Olivier Parcollet

We present a formalism for strongly correlated electrons systems which consists in a local approximation of the dynamical three-leg interaction vertex. This vertex is self-consistently computed with a quantum impurity model with dynamical…

强关联电子 · 物理学 2016-04-01 Thomas Ayral , Olivier Parcollet

At strong on-site repulsion $ U $, the fermionic Hubbard model realizes an extremely correlated electron system. In this regime, it is natural to derive the low-energy physics with the help of non-canonical operators acting on a projected…

强关联电子 · 物理学 2026-04-27 Jonas Arnold , Peter Kopietz , Andreas Rückriegel

We show that spatially local, yet low-energy, fluctuations can play an essential role in the physics of strongly correlated electron systems tuned to a quantum critical point. A detailed microscopic analysis of the Kondo lattice model is…

强关联电子 · 物理学 2009-11-07 Qimiao Si , Silvio Rabello , Kevin Ingersent , Lleweilun Smith

We introduce a density functional formalism to study the ground-state properties of strongly-correlated dipolar and ionic ultracold bosonic and fermionic gases, based on the self-consistent combination of the weak and the strong coupling…

We consider systems of non-relativistic, interacting electrons at finite density and zero temperature in d = 2, 3, ... dimensions. Our main concern is to characterize those systems that, under the renormalization flow, are driven away from…

凝聚态物理 · 物理学 2007-05-23 Juerg Froehlich , Roland Goetschmann

We study a model of strongly-correlated systems that incorporates phases such as Fermi liquids, non-Fermi liquids, and superconductivity, in addition to potential intertwined orders. The model describes Fermi surfaces of spinful electron…

强关联电子 · 物理学 2017-11-15 Yi Zhang

The Kondo effect has been playing an important role in strongly correlated electon systems. The important point is that the magnetic impurity in metals is a typical example of the Fermi liquid. In the system the local spin is conserved in…

强关联电子 · 物理学 2009-11-10 Hiroshi Kontani , Kosaku Yamada
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