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Resonating valence bond states in a doped Mott insulator was proposed to explain superconductivity in cuprates in January 1987 by Anderson. A challenging task then was proving existence of this unconventional mechanism and a wealth of…

Strongly Correlated Electrons · Physics 2007-05-23 G. Baskaran

We review the Resonating Valence Bond (RVB) theory of high temperatur e superconductivity using Gutzwiller projected wave functions that incorporate strong correlations. After a general overview of the phenomenon of high temperature…

Strongly Correlated Electrons · Physics 2007-10-08 B. Edegger , V. N. Muthukumar , C. Gros

The high energy spin excitation in the high T$_{c}$ cuprates is studied in the single mode approximation for the $t-t'-J$ model. An exact form for the mode dispersion is derived. When the Gutzwiller projected BCS state is used as the…

Strongly Correlated Electrons · Physics 2013-05-22 Jiquan Pei , Haijun Liao , Tao Li

In a recent review by Anderson and coworkers\cite{Vanilla}, it was pointed out that an early resonating valence bond (RVB) theory is able to explain a number of unusual properties of high temperature superconducting (SC) Cu-oxides. Here we…

Superconductivity · Physics 2009-11-11 Kai-Yu Yang , C. T. Shih , C. P. Chou , S. M. Huang , T. K. Lee , T. Xiang , F. C. Zhang

Despite more than two decades of intensive investigations, the true nature of high temperature (high-$T_c$) superconductivity observed in the cuprates remains elusive to the researchers. In particular, in the so-called `underdoped' region,…

Superconductivity · Physics 2015-11-11 Yucel Yildirim , Wei Ku

The Gutzwiller-projected mean field theory, also called Plain Vanilla or RMFT, is explained and its successes and possible extensions in describing the phenomenology of the cuprate superconductors are discussed. Throughout we emphasize that…

Superconductivity · Physics 2015-06-25 Philip W anderson

One of the most prominent problems in high temperature superconductivity is the nature of the pseudogap phase in underdoped regimes; particularly important is the role of phase fluctuations. The Gutzwiller-projected BCS Hamiltonian is a…

Strongly Correlated Electrons · Physics 2011-11-09 Kwon Park

We present a self-consistent RVB theory which unifies the metallic (superconducting) phase with the half-filling antiferromagnetic (AF) phase. Two crucial factors in this theory include the RVB condensation which controls short-range AF…

Strongly Correlated Electrons · Physics 2015-06-24 Z. Y. Weng , D. N. Sheng , C. S. Ting

The cuprate high-temperature superconductors exhibit many unexplained electronic phases, but it was often thought that the superconductivity at sufficiently high doping is governed by conventional mean-field Bardeen-Cooper-Schrieffer (BCS)…

This article reviews the effort to understand the physics of high temperature superconductors from the point of view of doping a Mott insulator. The basic electronic structure of the cuprates is reviewed, emphasizing the physics of strong…

Strongly Correlated Electrons · Physics 2009-09-29 Patrick A. Lee , Naoto Nagaosa , Xiao-Gang Wen

Resonating valence bond (RVB) theory of high Tc superconductivity, an electron correlation based mechanism, began as an insightful response by Anderson, to Bednorz and Muller's discovery of high Tc superconductivity in cuprates in late…

Superconductivity · Physics 2017-09-29 G. Baskaran

The detailed structure of the $T \times doping$ phase diagram of hole doped High-Tc superconducting cuprates is investigated from the perspective of a recently proposed comprehensive theory for these materials. Our theory is compared to…

Superconductivity · Physics 2024-08-28 Eduardo C. Marino

One of the first finding concerning the superconducting (SC) density $n_{\rm sc}$ in cuprates was their small magnitudes that revealed the importance of phase fluctuations. More recently, measurements in a variety of overdoped cuprates…

Superconductivity · Physics 2021-02-24 E. V. L. de Mello

Using an advanced version of the renormalized mean-field theory (RMFT) for the t-J model, we examine spin-singlet superconducting (SC) state of $d_{x^2 - y^2}$-symmetry. Overall doping dependence of the SC gap magnitude is in good agreement…

Strongly Correlated Electrons · Physics 2016-08-14 Jakub Jȩdrak , Jozef Spałek

By using high magnetic field data to estimate the background conductivity, Rullier-Albenque and coworkers have recently published [Phys.Rev.B 84, 014522 (2011)] experimental evidence that the in-plane paraconductivity in cuprates is almost…

Superconductivity · Physics 2015-05-27 Manuel V. Ramallo , Carlos Carballeira , Ramon I. Rey , Jesus Mosqueira , Felix Vidal

Overdoped high-temperature cuprate superconductors have been widely believed to be described by the physics of d-wave BCS-like superconductivity. However, recent measurements indicate that as the doping is increased, the superfluid density…

Superconductivity · Physics 2019-05-07 Fahad Mahmood , Xi He , Ivan Bozovic , N. P. Armitage

Significant progress towards a theory of high-temperature superconductivity in cuprates has been achieved via the study of effective one- and three-band Hubbard models. Nevertheless, material-specific predictions, while essential for…

Strongly Correlated Electrons · Physics 2025-03-10 Benjamin Bacq-Labreuil , Benjamin Lacasse , André-Marie S. Tremblay , David Sénéchal , Kristjan Haule

We have been able to resolve two long-standing issues that are central to the theory of high Tc superconductivity: (1) How is the physics of the doped region connected to that of the Mott insulator? (2) What is the origin of the…

Strongly Correlated Electrons · Physics 2013-05-29 Sanjoy K Sarker , Timothy Lovorn

High temperature superconductivity in the cuprates remains one of the most widely investigated, constantly surprising, and poorly understood phenomena in physics. Here, we describe briefly a new phenomenological theory inspired by the…

Superconductivity · Physics 2015-06-04 T. V. Ramakrishnan

A systematic diagrammatic expansion for Gutzwiller-wave functions (DE-GWF) is formulated and used for the description of superconducting (SC) ground state in the two-dimensional Hubbard model with electron-transfer amplitudes t (and t')…

Strongly Correlated Electrons · Physics 2013-09-24 J. Kaczmarczyk , J. Spałek , T. Schickling , J. Buenemann
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