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We explore the superconducting properties of the bilayer Hubbard model, which exhibits a high transition temperature ($T_{\rm c}$) for an $s_{\pm}$ pairing, using a cluster extension of the dynamical mean-field theory. Unlike the…

Superconductivity · Physics 2025-07-22 Yusuke Nomura , Motoharu Kitatani , Shiro Sakai , Ryotaro Arita

The mechanism of high temperature superconductivity is not resolved for so long because the normal state of cuprates is not yet understood. Here we show that the normal state pseudo-gap exhibits an unexpected non-monotonic temperature…

Proximity to a Mott insulating phase is likely to be an important physical ingredient of a theory that aims to describe high-temperature superconductivity in the cuprates. Quantum cluster methods are well suited to describe the Mott phase.…

Strongly Correlated Electrons · Physics 2009-11-11 S. S. Kancharla , B. Kyung , D. Senechal , M. Civelli , M. Capone , G. Kotliar , A. -M. S. Tremblay

Cuprates exhibit exceptionally strong superconductivity. To understand why, it is essential to elucidate the nature of the electronic interactions that cause pairing. Superconductivity occurs on the backdrop of several underlying electronic…

Superconductivity · Physics 2019-03-20 Cyril Proust , Louis Taillefer

The two-dimensional Hubbard model exhibits superconductivity with d-wave symmetry even at half-filling in the presence of next-nearest neighbor hopping. Using plaquette cluster dynamical mean-field theory with a continuous-time quantum…

Strongly Correlated Electrons · Physics 2011-09-27 Michael Sentef , Philipp Werner , Emanuel Gull , Arno P. Kampf

Cluster dynamical mean field methods are used to calculate the superconductivity-induced changes in the interplane conductivity and Raman scattering cross section of the two dimensional Hubbard model. When superconductivity emerges from the…

Strongly Correlated Electrons · Physics 2014-01-06 Emanuel Gull , Andrew J. Millis

We study the dynamics of the Cooper pairing across the T=0 phase diagram of the two-dimensional Hubbard Model, relevant for high-temperature superconductors, using a cluster extension of dynamical mean field theory. We find that the…

Strongly Correlated Electrons · Physics 2009-09-24 M. Civelli

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

From analysis of the in-plane resistivity $\rho_{ab}(T)$ of La$_{2-x}$Sr$_x$CuO$_4$, we show that normal state transport in overdoped cuprates can be delineated into two regimes in which the electrical resistivity varies approximately…

Superconductivity · Physics 2009-12-11 N. E. Hussey , R. A. Cooper , Xiaofeng Xu , Y. Wang , B. Vignolle , C. Proust

We describe the spectral properties of underdoped cuprates as resulting from a momentum-dependent pseudogap in the normal state spectrum. Such a model accounts, within a BCS approach, for the doping dependence of the critical temperature…

Superconductivity · Physics 2009-10-31 L. Benfatto , S. Caprara , C. Di Castro

Understanding doped Mott insulators is a fundamental goal in condensed matter physics, with relevance to cuprate superconductors and other quantum materials. The doped Hubbard model minimally describes such systems, and has explicated some…

A Mott insulator sometimes induces unconventional superconductivity in its neighbors when doped and/or pressurized. Because the phase diagram should be strongly related to the microscopic mechanism of the superconductivity, it is important…

Strongly Correlated Electrons · Physics 2019-05-14 Yoshitaka Kawasugi , Kazuhiro Seki , Satoshi Tajima , Jiang Pu , Taishi Takenobu , Seiji Yunoki , Hiroshi M. Yamamoto , Reizo Kato

Near a Mott transition, strong electron correlations may enhance Cooper pairing. This is demonstrated in the Dynamical Mean Field Theory solution of a twofold-orbital degenerate Hubbard model with inverted Hund's rules on-site exchange,…

Strongly Correlated Electrons · Physics 2007-08-07 M. Capone , M. Fabrizio , C. Castellani , E. Tosatti

Cluster dynamical mean field methods are used to calculate the normal and anomalous components of the electron self energy of the two dimensional Hubbard model. From these the evolution of the superconducting gap and the momentum dependent…

Strongly Correlated Electrons · Physics 2015-02-25 Emanuel Gull , Andrew J. Millis

A key open issue in condensed matter physics is how quantum and classical correlations emerge in an unconventional superconductor from the underlying normal state. We study this problem in a doped Mott insulator with information theory…

Strongly Correlated Electrons · Physics 2022-03-01 C. Walsh , M. Charlebois , P. Sémon , G. Sordi , A. -M. S. Tremblay

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

We compute the two-particle quantities relevant for superconducting correlations in the two-dimensional Hubbard model within the dynamical cluster approximation. In the normal state we identify the parameter regime in density, interaction,…

Superconductivity · Physics 2015-09-15 Xi Chen , J. P. F. LeBlanc , Emanuel Gull

The energetics of the interplay between superconductivity and the pseudogap in high temperature superconductivity is examined using the eight-site dynamical cluster approximation to the two dimensional Hubbard model. Two regimes of…

Strongly Correlated Electrons · Physics 2012-12-21 Emanuel Gull , Andrew J. Millis

A simple model to describe the energetic phase diagram of electron-doped cuprate superconductor is developed. Interband pairing operates between the UHB and the defect states created by doping and supplied by both extincting HB-s. Two…

Superconductivity · Physics 2009-11-13 N. Kristoffel , P. Rubin

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