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I begin by briefly reviewing various experimental results on the pseudogap phenomena in underdoped cuprates. I argue that, taken together, all of these lead to a picture of singlet pairing above $T_c$. I then explore the idea that the…

Strongly Correlated Electrons · Physics 2007-05-23 Mohit Randeria

We analyze pseudogap phenomena widely observed in the underdoped cuprates. We assume the existence of a strong d-wave pairing force competing with antiferromagnetic(AFM) fluctuations and the formation of flat and damped dispersion around…

Superconductivity · Physics 2007-05-23 Shigeki Onoda , Masatoshi Imada

So far, the theories of the cuprate pseudogap may be broadly divided into two main schools of though. One is based upon the idea that view the pseudogap as deriving from some of precursor superconductivity. Another assumes that associate…

Condensed Matter · Physics 2007-05-23 Ping Lou , Hang-sheng Wu

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

High-temperature superconducting cuprates are distinguished by an enigmatic pseudogap which opens near optimal doping where the superconducting transition temperature is highest. Key questions concern its origin and whether it is essential…

Superconductivity · Physics 2017-09-15 J. G. Storey

The interplay of competing orders is relevant to high-temperature superconductivity known to emerge upon suppression of a parent antiferromagnetic order typically via charge doping. How such interplay evolves at low temperature---in…

Strongly Correlated Electrons · Physics 2017-07-14 Zuo-Dong Yu , Yuan Zhou , Wei-Guo Yin , Hai-Qing Lin , Chang-De Gong

Unveiling the nature of the pseudogap and its relation to both superconductivity and antiferromagnetic Mott insulators, the pairing mechanism, and a non-Fermi liquid phase is a key issue for understanding high temperature superconductivity…

Superconductivity · Physics 2013-02-14 Takashi Uchino

The mechanism of the pseudogap observed in hole-doped cuprates remains one of the central puzzles in condensed matter physics. We analyze this phenomenon via a Feynman-diagrammatic inspection of the Hubbard model. Our approach captures the…

Strongly Correlated Electrons · Physics 2023-06-13 Friedrich Krien , Paul Worm , Patrick Chalupa , Alessandro Toschi , Karsten Held

Since the discovery of the cuprate high-temperature superconductivity in 1986, a universal phase diagram has been constructed experimentally and numerous theoretical models have been proposed. However, there remains no consensus on the…

Superconductivity · Physics 2017-08-11 Jun Chang , Jize Zhao

As is known, the 1/q^2 theorem of Bogoliubov asserts that the mean density of the fermion pair states with the total momentum q obeys the inequality n_q > C/q^2 (q \to 0) in the case of the Fermi system taken at nonzero temperature and in…

Superconductivity · Physics 2007-05-23 A. Yu. Cherny , A. A. Shanenko

Through the measurements of magnetic field dependence of specific heat in $La_{2-x}Sr_xCuO_4$ in zero temperature limit, we find that the nodal slope $v_\Delta$ of the superconducting gap has a very similar doping dependence of the…

Strongly Correlated Electrons · Physics 2007-05-23 Hai-Hu Wen , Lei Shan , Xiao-Gang Wen , Yue Wang , Hong Gao , Zhi-Yong Liu , Fang Zhou , Jiwu Xiong , Wenxin Ti

In many unconventional superconductors, the presence of a pseudogap - a suppression in the electronic density of states extending above the critical temperature - has been a long-standing mystery. Here, we employ combined \textit{in situ}…

We describe here a minimal theory of tight binding electrons moving on the square planar Cu lattice of the hole-doped cuprates and mixed quantum mechanically with pairs of them (Cooper pairs). Superconductivity occurring at the transition…

Strongly Correlated Electrons · Physics 2013-05-29 Sumilan Banerjee , T V Ramakrishnan , C Dasgupta

Superconductivity in the cuprates exhibits many unusual features. We study the two-dimensional Hubbard model with plaquette dynamical mean-field theory to address these unusual features and relate them to other normal-state phenomena, such…

Strongly Correlated Electrons · Physics 2016-03-15 L. Fratino , P. Sémon , G. Sordi , A. -M. S. Tremblay

Copper oxides become superconductors rapidly upon doping with electron holes, suggesting a fundamental pairing instability. The Cooper mechanism explains normal superconductivity as an instability of a fermi-liquid state, but…

Strongly Correlated Electrons · Physics 2008-10-22 Mike Guidry , Yang Sun , Cheng-Li Wu

Overshadowing the superconducting dome in hole-doped cuprates, the pseudogap state is still one of the mysteries that no consensus can be achieved. It has been suggested that the rotational symmetry is broken in this state and may result in…

Theoretical attempts to explain the origin of high temperature superconductivity are challenged by the complexity of the normal state, which exhibits three regimes with increasing hole doping: a pseudo-gap regime when underdoped, strange…

Superconductivity · Physics 2007-05-23 T. Senthil , Matthew P. A. Fisher

We study the timely issue of charge order checkerboard patterns observed in a variety of cuprate superconductors. We suggest a minimal model in which strong quantum fluctuations in the vicinity of a single antiferromagnetic quantum critical…

Strongly Correlated Electrons · Physics 2014-06-19 H. Meier , C. Pépin , M. Einenkel , K. B. Efetov

The origin of the exceptionally strong superconductivity of cuprates remains a subject of debate after more than two decades of investigation. Here we follow a new lead: The onset temperature for superconductivity scales with the strength…

Superconductivity · Physics 2015-05-18 Louis Taillefer

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…