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A theory of high temperature superconductivity based on the combination of the fermion-condensation quantum phase transition and the conventional theory of superconductivity is presented. This theory describes maximum values of the…

Strongly Correlated Electrons · Physics 2009-11-07 M. Ya. Amusia , S. A. Artamonov , V. R. Shaginyan

In high temperature cuprate superconductors, it was found that in the overdoped region the superfluid density decreases with the increase of hole doping. One natural question is whether there exists normal fluid in the superconducting state…

Underdoped cuprate superconductors are believed to be strongly correlated with electronic systems with small phase stiffness leading to a large phase fluctuation region is known as the pseudogap state. With increasing doping it is generally…

Superconductivity · Physics 2025-07-03 Hércules H. Santana and , E. V. L. de Mello

We investigate models of electrons in the Sachdev-Ye-Kitaev class with random and all-to-all electron hopping, electron spin exchange, and Cooper-pair hopping. An attractive on-site interaction between electrons leads to superconductivity…

Superconductivity · Physics 2023-01-26 Chenyuan Li , Subir Sachdev , Darshan G. Joshi

I review progress in measurements of the dynamic spin susceptibility in the normal state which yield a new phase diagram and discuss microscopic calculations which yield qualitative, and in many cases, quantitative agreement with the…

Condensed Matter · Physics 2009-10-30 David Pines

A systematic study of optical and transport properties of the Hubbard model, based on Metzner and Vollhardt's dynamical mean-field approximation, is reviewed. This model shows interesting anomalous properties that are, in our opinion,…

supr-con · Physics 2016-09-08 Th. Pruschke , M. Jarrell , J. K. Freericks

We, basing on the quantum critical point (QCP)($p = 0.19 $), propose a phenomenological description on high-$T_c$ superconductivity in the cuprate superconductors, and suggest it divides the whole doping region into two parts: the…

Superconductivity · Physics 2011-08-23 Jian-Feng Cheng

When a van-Hove singularity is located in the vicinity of the Fermi level, the electronic scattering rate acquires a non-analytic contribution. This invalidates basic assumptions of Fermi liquid theory and within perturbative treatments…

Strongly Correlated Electrons · Physics 2010-10-20 Sebastian Schmitt

Landau Fermi liquid theory, with its pivotal assertion that electrons in metals can be simply understood as independent particles with effective masses replacing the free electron mass, has been astonishingly successful. This is true…

Strongly Correlated Electrons · Physics 2008-10-16 N. Manyala , J. F. DiTusa , G. Aeppli , A. P. Ramirez

High-temperature superconductivity occurs as copper oxides are chemically tuned to have a carrier concentration intermediate between their metallic state at high doping and their insulating state at zero doping. The underlying evolution of…

It is shown that the main features of the phase diagram for high Tc superconductivity can be calculated as a function of doping in a simple, essentially unique non-Landau/Fermi liquid with quartic interactions. The phase diagram depends on…

Strongly Correlated Electrons · Physics 2008-05-30 Eliot Kapit , André LeClair

We report the Hall resistivity, $\rho_{xy}$ of polycrystalline SmFeAsO$_{1-x}$F$_{x}$ for four different fluorine concentrations from the onset of superconductivity through the collapse of the structural phase transition. For the two more…

We present experimental results for the in-plane resistivity of the electron-doped cuprate superconductor $La_{2-x}Ce_xCuO_4$ above its transition temperature $T_c$ as a function of Ce doping x and temperature. For the doping x between 0.11…

Strongly Correlated Electrons · Physics 2018-12-19 Tarapada Sarkar , Richard L. Greene , S. Das Sarma

There are two prerequisites for understanding high-temperature (high-T$_c$) superconductivity: identifying the pairing interaction and a correct description of the normal state from which superconductivity emerges. The nature of the normal…

Strongly Correlated Electrons · Physics 2015-07-24 Alona Tytarenko , Yingkai Huang , Anne de Visser , Steve Johnston , Erik van Heumen

We report magnetoresistance and Hall angle measurements of the electron-doped cuprate La$_{2-x}$Ce$_x$CuO$_4$ over a wide range of dopings from $x = 0.08 - 0.17$. Above 100 K, we find an unconventional $\sim H^{3/2}$ magnetic field…

Strongly Correlated Electrons · Physics 2021-03-10 Nicholas R. Poniatowski , Tarapada Sarkar , Richard L. Greene

Thermodynamic and transport properties of Sr$_{1-x}$Ca$_x$RuO$_3$ with a calcium concentration $x \geq 0.8$ were investigated at low temperatures and in external magnetic field. The investgations revealed a Landau Fermi liquid (LFL)…

Strongly Correlated Electrons · Physics 2018-06-12 A. Zarzycki , M. Rams , E. A. Goerlich , K. Tomala

Despite the intense theoretical and experimental effort, an understanding of the superconducting pairing mechanism of the high-temperature superconductors, leading to an unprecedented high transition temperature $T_c$, is still lacking.…

Superconductivity · Physics 2009-03-06 S. Sykora , K. W. Becker

A model based on the alternating structure of the imbedded conduction layers (the Cu-O2 planes) with the charge-transfer-insulator (CTI) layers is proposed. There are three kinds of carriers, each with a different behavior: conduction-like…

Superconductivity · Physics 2012-07-05 LongJian Liu

A fundamental question of high-temperature superconductors is the nature of the pseudogap phase which lies between the Mott insulator at zero doping and the Fermi liquid at high doping p. Here we report on the behaviour of charge carriers…

In this paper we compare two broad classes of theories for the pseudogap in cuprate superconductors. The comparison in made in reference to measurements of the superfluid density, $\rho_s(T,x)$, in $YBa_2CuO_{7- \delta}$ films having a wide…

Superconductivity · Physics 2009-11-07 Jelena Stajic , Andrew Iyengar , K. Levin , B. R. Boyce , T. Lemberger