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Fully describing the single particle spectral function observed for high temperature superconduc- tors in the normal state is an important goal, yet unachieved. Here, we present a phenomenological model that demonstrates the capability to…

Strongly Correlated Electrons · Physics 2013-12-13 Kazue Matsuyama , G. -H. Gweon

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…

Strongly Correlated Electrons · Physics 2026-01-16 Ehsan Khatami , Daniel Hansen , Edward Perepelitsky , Marcos Rigol , B. Sriram Shastry

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

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 $t$-$J$…

Strongly Correlated Electrons · Physics 2015-05-27 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

In this work we have done phenomenology based model calculations for some of the thermodynamic and electrodynamic properties of the strongly correlated superconductors of Cuprate type. The method involves the application of the theoretical…

Superconductivity · Physics 2013-08-14 Timothy Chibueze , Ranjan Chaudhury

Planar normal state resistivity data taken from three families of cuprate superconductors are compared with theoretical calculations from the recent extremely correlated Fermi liquid theory (ECFL). The two hole doped cuprate materials…

Strongly Correlated Electrons · Physics 2021-10-05 B Sriram Shastry , Peizhi Mai

Properties of strongly correlated two-dimensional (2D) electron systems in solids are studied on the assumption that these systems undergo a phase transition, called fermion condensation, whose characteristic feature is flattening of the…

Strongly Correlated Electrons · Physics 2009-11-07 V. A. Khodel , M. V. Zverev

Deviations from Fermi liquid behavior are well documented in the normal state of the cuprate superconductors, and some of these differences are possibly related to pre-formed pairs appearing at temperatures above T_c. In order to test these…

Strongly Correlated Electrons · Physics 2009-10-31 M. Letz , R. J. Gooding

The electronic properties of correlated metals with a strong electron-phonon coupling may be understood in terms of a combination of Landau's Fermi-liquid theory and the strong-coupling theory of Migdal and Eliashberg. In these lecture…

Superconductivity · Physics 2018-09-19 D. Rainer , J. A. Sauls

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

Planar normal state resistivity data from two families of hole doped single layer cuprate superconductors $Bi2201$ (Bi$_2$Sr$_2$CuO$_{6+x}$) and $Tl2201$ (Tl$_2$Ba$_2$CuO$_{6+x}$) are calculated using the extremely correlated Fermi liquid…

Strongly Correlated Electrons · Physics 2026-01-14 Samantha Shears , Michael Arciniaga , B Sriram Shastry

The quasiparticles in the normal state of cuprate superconductors have been shown to behave universally as a 3-dimensional Fermi liquid. Because of interactions and the presence of the Fermi surfaces (or Fermi energies), the quasiparticle…

Superconductivity · Physics 2023-10-18 Setsuo Misawa

We review the leading momentum, frequency and temperature dependences of the single particle self-energy and the corresponding term in the entropy of a two dimensional Fermi liquid (FL) with a free particle spectrum. We calculate the…

Strongly Correlated Electrons · Physics 2009-10-30 Jungsoo Kim , D. Coffey

Spectral anomaly for interacting Fermions is characterized by the spectral function $A([k-k_F],\omega)$ satisfying the scaling relation $A(\Lambda^{y_1} [k-k_F],\Lambda^{y_2}\omega)= \Lambda^{y_A}A([k-k_F],\omega)$, where $y_1$, $y_2$, and…

Condensed Matter · Physics 2015-06-25 L. Yin , S. Chakravarty

Based on a Fermi liquid model, we present several results on the normal state of the optimally doped and overdoped cuprate superconductors. Our main result is an analytic demonstration, backed by self-consistent numerical calculations, of…

Condensed Matter · Physics 2007-05-23 George Kastrinakis

A quantum-field approach for describing many-particle Fermi systems at finite temperatures and with spontaneously broken symmetry has been proposed. A generalized model of self-consistent field (SCF), which allows one to describe the states…

Statistical Mechanics · Physics 2013-03-21 Yu. M. Poluektov

Recent angular-resolved photoemission experiments on high-temperature superconductors are consistent with a phenomenological description of the normal state of these materials as Marginal Fermi Liquids. The experiments also provide…

Superconductivity · Physics 2009-10-31 Elihu Abrahams , C. M. Varma

The Kondo-Heisenberg model is used for a microscopic demonstration of existence of a peculiar metallic state with unbroken translational symmetry where the Fermi surface volume is not controlled by the total electron density. I use a…

Strongly Correlated Electrons · Physics 2016-10-19 A. M. Tsvelik

The strange-metal phase of the cuprate high temperature superconductors, above where the superconductivity sets in as a function of temperature, is widely considered more exotic and mysterious than the superconductivity itself. Here, based…

Strongly Correlated Electrons · Physics 2015-09-08 T. J. Reber , X. Zhou , N. C. Plumb , S. Parham , J. A. Waugh , Y. Cao , Z. Sun , H. Li , Q. Wang , J. S. Wen , Z. J. Xu , G. Gu , Y. Yoshida , H. Eisaki , G. B. Arnold , D. S. Dessau
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