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Complex phase diagrams are generic feature of quantum materials that display high temperature superconductivity. In addition to d-wave superconductivity (or other unconventional states), these phase diagrams typically include various forms…

Superconductivity · Physics 2025-07-29 Eduardo Fradkin

Theoretical ideas and experimental results concerning high temperature superconductors are reviewed. Special emphasis is given to calculations carried out with the help of computers applied to models of strongly correlated electrons…

Condensed Matter · Physics 2009-10-22 Elbio Dagotto

The presence of different electronic orders other than superconductivity populating the phase diagram of cuprates suggests that they might be the key to disclose the mysteries of this class of materials. In particular charge order in the…

Superconductivity · Physics 2021-09-15 Riccardo Arpaia , Giacomo Ghiringhelli

The concept of intertwined orders has been introduced to describe the cooperative relationship between antiferromagnetic spin correlations and electron (or hole) pair correlations that develop in copper-oxide superconductors. This contrasts…

Superconductivity · Physics 2015-03-04 John M. Tranquada

We discuss fluctuating order in a quantum disordered phase proximate to a quantum critical point, with particular emphasis on fluctuating stripe order. Optimal strategies for extracting information concerning such local order from…

Strongly Correlated Electrons · Physics 2009-11-07 S. A. Kivelson , E. Fradkin , V. Oganesyan , I. P. Bindloss , J. M. Tranquada , A. Kapitulnik , C. Howald

The copper-oxide based high temperature superconductors have complex phase diagrams with multiple ordered phases. It even appears that the highest superconducting transition temperatures for certain cuprates are found in samples which…

Strongly Correlated Electrons · Physics 2009-11-07 Steven A. Kivelson , G. Aeppli , Victor J. Emery

The discovery of charge-density-wave order in the high-temperature superconductor YBa$_2$Cu$_3$O$_{6+y}$ places charge order centre stage with superconductivity, suggesting they they are intertwined rather than competing.

Superconductivity · Physics 2013-07-25 Eduardo Fradkin , Steven A. Kivelson

Understanding the electron pairing in hole-doped cuprate superconductors has been a challenge, in particular because the "normal" state from which it evolves is unprecedented. Now, after three and a half decades of research, involving a…

Superconductivity · Physics 2021-06-17 J. M. Tranquada

The discovery of high temperature superconductivity in the cuprates in 1986 triggered a spectacular outpouring of creative and innovative scientific inquiry. Much has been learned over the ensuing 28 years about the novel forms of quantum…

Superconductivity · Physics 2015-02-13 B. Keimer , S. A. Kivelson , M. R. Norman , S. Uchida , J. Zaanen

It is very important to elucidate the mechanism of superconductivity for achieving room temperature superconductivity. This paper is a short review article on the mechanism of high-temperature superconductivity. In the first half of this…

Strongly Correlated Electrons · Physics 2019-07-05 Takashi Yanagisawa

The experimentally measured phase diagram of cuprate superconductors in the temperature-applied magnetic field plane illuminates key issues in understanding the physics of these materials. At low temperature, the superconducting state gives…

Superconductivity · Physics 2018-06-11 Debmalya Chakraborty , Corentin Morice , Catherine Pépin

It is now widely accepted that the cuprate superconductors are characterized by the same long-range order as that present in the Bardeen-Cooper-Schrieffer (BCS) theory: that associated with the condensation of Cooper pairs. We argue that…

Superconductivity · Physics 2009-09-29 Subir Sachdev

The extreme variability of observables across the phase diagram of the cuprate high temperature superconductors has remained a profound mystery, with no convincing explanation of the superconducting dome. While much attention has been paid…

Superconductivity · Physics 2007-05-23 Angela Kopp , Amit Ghosal , Sudip Chakravarty

Besides superconductivity, copper-oxide high temperature superconductors are susceptible to other types of ordering. We use scanning tunneling microscopy and resonant elastic x-ray scattering measurements to establish the formation of…

Although the vast majority of high-$T_c$ cuprate superconductors are hole-doped, a small family of electron-doped compounds exists. Under investigated until recently, there has been tremendous recent progress in their characterization. A…

Superconductivity · Physics 2015-05-13 N. P. Armitage , P. Fournier , R. L. Greene

The interplay between different quantum phases plays an important role in strongly correlated systems, such as high-$T_c$ cuprates, quantum spin systems, and ultracold atoms. In particular, the application of effective field theory model…

Strongly Correlated Electrons · Physics 2023-12-21 Ken K. W. Ma , Oğuz Türker , Alexander Seidel , Kun Yang

We investigate the issues of competing orders and quantum criticality in cuprate superconductors via experimental studies of the high-field thermodynamic phase diagrams and the quasiparticle tunneling spectroscopy. Our results suggest…

Superconductivity · Physics 2007-05-23 N. -C. Yeh , C. -T. Chen , V. S. Zapf , A. D. Beyer , C. R. Hughes , M. -S. Park , K. -H. Kim , S. -I. Lee

Recent experimental and theoretical developments in high-temperature superconductivity are reviewed, and the empirically asymmetric behavior between hole-doped and electron-doped cuprates is contrasted. A number of phenomena previously…

Superconductivity · Physics 2007-05-23 N. -C. Yeh

The presence of charge order in high-transition-temperature copper oxides (high-Tc cuprates) was identified a decade ago. Now it is a universally observed order like the antiferromagnetic and the superconducting orders of the cuprates. The…

Superconductivity · Physics 2021-10-04 Shin-ichi Uchida

In many materials, ordered phases and their order parameters are easily characterized by standard experimental methods. "Hidden order" refers to a phase transition in which an ordered state emerges without such an easily detectable order…

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