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The transition mechanism in high temperature cuprate superconductors is an outstanding puzzle. A previous suggestion on the role of non-linear local lattice instability modes on the microscopic pairing mechanism in high temperature cuprate…

Superconductivity · Physics 2017-03-09 B. S. Lee , T. L. Yoon , R. Abd-Shukor

We derive a method to study the phase diagram for high temperature superconductors (HTCS). Our starting point is the Hubbard Hamiltonian with a weak attractive interaction to obtain the formation of bound pairs. We consider this attractive…

Condensed Matter · Physics 2009-10-28 Evandro V. L. de Mello

We derive a pair potential from tight binding further neighbours attraction that leads to superconducting gap symmetry similar to that of the phenomenological spin fluctuation theory of high temperature superconductors (Monthoux, Balatsky,…

Superconductivity · Physics 2009-10-31 Haranath Ghosh

We analyze the possible existence of a superconducting state in a background with long-range antiferromagnetism. We consider a generalized Hubbard model with nearest-neighbor correlated hopping in a square lattice. Near half filling, the…

Strongly Correlated Electrons · Physics 2009-09-25 Liliana Arrachea , A. A. Aligia

The Roth's two-pole approximation has been used by the present authors to study the effects of the hybridization in the superconducting properties of a strongly correlated electron system. The model used is the extended Hubbard model which…

Strongly Correlated Electrons · Physics 2016-08-16 E. J. Calegari , S. G. Magalhães , A. A. Gomes

The perfect-nesting instability towards antiferromagnetism of the Hubbard model is suppressed by next-nearest neighbor hopping t'. The exact asymptotic behavior of the critical coupling U_c(t') at small t' is calculated in dimensions d=2,3…

Strongly Correlated Electrons · Physics 2016-10-26 W. Hofstetter , D. Vollhardt

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

Motivated by the recent discovery of the anomalously nearest-neighbor attraction arising from the electron-phonon coupling, we quantitatively investigate the enhancing effects of this additional attractive channel on the $d$-wave SC based…

Superconductivity · Physics 2022-01-26 Mi Jiang

The $d$-$wave$ superconductivity is analyzed within the three-band $d$-$p$ model with the use of the diagrammatic expansion of the Guztwiller wave function method (DE-GWF). The determined stability regime of the superconducting state…

Superconductivity · Physics 2019-03-27 M. Zegrodnik , A. Biborski , M. Fidrysiak , J. Spałek

We show that antiferromagnetic spin-density wave order in the two-dimensional Hubbard model yields a drop of the charge carrier density as observed in recent transport measurements for cuprate superconductors in high magnetic fields upon…

Strongly Correlated Electrons · Physics 2020-05-01 Pietro M. Bonetti , Johannes Mitscherling , Demetrio Vilardi , Walter Metzner

There is growing evidence that the hole-doped single-band Hubbard and $t$-$J$ models do not have a superconducting ground state reflective of the high-temperature cuprate superconductors but instead have striped spin- and charge-ordered…

Strongly Correlated Electrons · Physics 2023-05-26 Peizhi Mai , Nathan S. Nichols , Seher Karakuzu , Feng Bao , Adrian Del Maestro , Thomas A. Maier , Steven Johnston

We have rigorously shown that a strong Hubbard repulsion can cause superconductivity. The model, which has a particular set of local symmetries, manifests the phase diagram of many unconventional superconductors; anti-ferromagnetism…

Superconductivity · Physics 2019-04-16 Manjinder Kainth , M. W. Long

We generalize the recently introduced TRILEX approach (TRiply Irreducible Local EXpansion) to superconducting phases. The method treats simultaneously Mott and spin-fluctuation physics using an Eliashberg theory supplemented by local vertex…

Strongly Correlated Electrons · Physics 2017-09-07 Jaksa Vucicevic , Thomas Ayral , Olivier Parcollet

We study a simple BCS-like model which describes unconventional superconductivity on the basis of an electron-electron attraction corresponding to the delta-shell potential: $U(r) = -g \delta(r-r_0)$. It predicts a $T_c$ vs. doping behavior…

Superconductivity · Physics 2009-10-31 J. Quintanilla , B. L. Gyorffy

By means of the composite operator method we calculate the specific heat of the 2D Hubbard model. Our results show that the model gives a detailed description of the experimental situation in the normal state of cuprate high Tc…

Superconductivity · Physics 2008-02-03 F. Mancini , D. Villani , H. Matsumoto

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

A major pathway towards understanding complex systems is given by exactly solvable reference systems that contain the essential physics of the system. For the $t-t'-U$ Hubbard model, the four-site plaquette is known to have a quantum…

Strongly Correlated Electrons · Physics 2022-05-06 M. Danilov , E. G. C. P. van Loon , S. Brener , S. Iskakov , M. I. Katsnelson , A. I. Lichtenstein

Using the structural data of the La2CuO4 compound both in the low temperature tetragonal phase and in the isotropic phase we have derived an effective t-J model with hoppings t and superexchange interactions J extended up to fourth and…

Superconductivity · Physics 2009-11-07 V. I. Anisimov , M. A. Korotin , I. A. Nekrasov , Z. V. Pchelkina , S. Sorella

Because the normal state of underdoped cuprate superconductors is an enigmatic Fermi-arc metal, it is valuable to analyze an exactly solvable model that exhibits both Fermi arcs and $d$-wave superconductivity. Here, we focus on a recently…

Superconductivity · Physics 2026-04-03 Xianliang Zhou , Fei Yang , Miao Liu , Yin Shi , Sheng Meng

We present an infinite-dimensional lattice of two-by-two plaquettes, the quadruple Bethe lattice, with Hubbard interaction and solve it exactly by means of the cluster dynamical mean-field theory. It exhibits a $d$-wave superconducting…

Strongly Correlated Electrons · Physics 2020-01-22 Malte Harland , Sergey Brener , Mikhail I. Katsnelson , Alexander I. Lichtenstein
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