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By extending previous work on the scaling of low frequency magnetic properties of the 2-1-4 cuprates to the 1-2-3 materials, we arrive at a consistent phenomenological description of protected behavior in the pseudogap state of the…

Strongly Correlated Electrons · Physics 2009-11-11 Victor Barzykin , David Pines

I review recent work on magnetic dynamics of the high temperature superconductors using a model that combines two weakly interacting species of low-energy excitations: the antiferromagnetic spin waves which carry spin-1 and no charge, and…

Condensed Matter · Physics 2009-10-28 Alexander Sokol

Cuprate high-T_c superconductors on the Mott-insulating side of "optimal doping" (with respect to the highest T_c's) exhibit enigmatic behavior in the non-superconducting state. Near optimal doping the transport and spectroscopic properties…

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

In strongly correlated materials, interacting electrons are entangled and form collective quantum states, resulting in rich low-temperature phase diagrams. Notable examples include cuprate superconductors, in which superconductivity emerges…

Superconductivity in cuprates is achieved by doping holes into a correlated charge-transfer insulator. While the correlated character of the parent insulator is now understood, there is no accepted theory for the "normal" state of the doped…

Superconductivity · Physics 2019-04-25 J. M. Tranquada

Dynamical properties of 2D antiferromagnets with hole doping are investigated to see the effects of short range local magnetic order on the temperature dependence of the dynamical magnetic susceptibility. We show the pseudo-gap like…

Strongly Correlated Electrons · Physics 2009-10-30 Toru Sakai , Yoshinori Takahashi

High-transition-temperature (high-Tc) superconductivity develops near antiferromagnetic phases, and it is possible that magnetic excitations contribute to the superconducting pairing mechanism. To assess the role of antiferromagnetism, it…

Superconductivity · Physics 2007-05-23 E. M. Motoyama , G. Yu , I. M. Vishik , O. P. Vajk , P. K. Mang , M. Greven

I review some of the experimental evidence and theoretical arguments that suggest that pseudogap matter is a new form of matter that coexists with coherent electron matter in the normal state and with superconducting matter below the…

Strongly Correlated Electrons · Physics 2007-05-23 David Pines

A simple model of cuprate superconductivity with an electron spectrum prepared by doping is developed. The pair-transfer interaction couples the itinerant band with two components ("hot'' and "cold'') of the defect subsystem. There are…

Superconductivity · Physics 2007-05-23 N. Kristoffel , P. Rubin

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

The pseudogap phenomena in High-$T_{{\rm c}}$ cuprates are investigated on the basis of the Hubbard model which includes only the on-site repulsive interaction $U$. We consider the pairing scenario for the pseudogap. The pseudogap arises…

Strongly Correlated Electrons · Physics 2016-08-31 Youichi Yanase , Kosaku Yamada

It is a distinct possibility that spin fluctuations are the pairing interactions in a wide range of unconventional superconductors. In the case of the high-transition-temperature (high-$T_c$) cuprates, in which superconductivity emerges…

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

Theories of the origin of superconductivity in cuprates are dependent on an understanding of their normal state which exhibits various competing orders. Transport and thermodynamic measurements on La$_{2-x}$Sr$_x$CuO$_4$ show signatures of…

Superconductivity · Physics 2023-08-23 M. Zhu , D. J. Voneshen , S. Raymond , O. J. Lipscombe , C. C. Tam , S. M. Hayden

We propose a unified magnetic phase diagram of cuprate superconductors. A new feature of this phase diagram is a broad intermediate doping region of quantum-critical, $z=1$, behavior, characterized by temperature independent $T_1T/T_{\rm…

Condensed Matter · Physics 2009-10-22 A. Sokol , D. Pines

It has become clear in the past several years that the cuprates show many unusual properties, both in the normal and superconducting states, especially in the underdoped region. In particular, gap-like behavior is observed in magnetic…

Strongly Correlated Electrons · Physics 2009-10-31 Patrick A. Lee

We have performed a temperature-dependent angle-integrated photoemission study of lightly-doped to heavily-overdoped La$_{2-x}$Sr$_{x}$CuO$_4$ and oxygen-doped La$_2$CuO$_{4.10}$. We found that both the magnitude $\Delta$* of the (small)…

Strongly Correlated Electrons · Physics 2007-05-23 M. Hashimoto , T. Yoshida , K. Tanaka , A. Fujimori , M. Okusawa , S. Wakimoto , K. Yamada , T. Kakeshita , H. Eisaki , S. Uchida

We investigate the doped two-dimensional Hubbard model at finite temperature using controlled diagrammatic Monte Carlo calculations allowing for the computation of spectral properties in the infinite-size limit and, crucially, with…

Strongly Correlated Electrons · Physics 2024-09-25 Fedor Simkovic , Riccardo Rossi , Antoine Georges , Michel Ferrero

A major obstacle to understanding high-Tc cuprates is that superconductivity precludes observing normal-state properties at low temperatures. One prime example is the normal-state spin susceptibility \c{hi}spin: although its decrease upon…

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