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This is a short review of the theoretical work on the two-dimensional Hubbard model performed in Sherbrooke in the last few years. It is written on the occasion of the twentieth anniversary of the discovery of high-temperature…

Superconductivity · Physics 2009-11-11 A. -M. S. Tremblay , B. Kyung , D. Sénéchal

A strong-coupling expansion for models of correlated electrons in any dimension is presented. The method is applied to the Hubbard model in $d$ dimensions and compared with numerical results in $d=1$. Third order expansion of the Green…

Strongly Correlated Electrons · Physics 2009-10-30 Stéphane Pairault , David Sénéchal , A. -M. S. Tremblay

In the search for the mechanism of high-temperature superconductivity, intense research has been focused on the evolution of the spin excitation spectrum upon doping from the antiferromagnetic insulating to the superconducting states of the…

Motivated by cuprate and nickelate superconductors, we perform a comprehensive study of the superconducting instability in the single-band Hubbard model. We calculate the spectrum and superconducting transition temperature $T_{\rm c}$ as a…

Superconductivity · Physics 2023-06-13 Motoharu Kitatani , Liang Si , Paul Worm , Jan M. Tomczak , Ryotaro Arita , Karsten Held

The recently discovered cuprate superconductor Ba$_2$CuO$_{3+\delta}$ exhibits a high $T_c\simeq73$K at $\delta\simeq0.2$. The polycrystal grown under high pressure has a structure similar to La$_2$CuO$_4$, but with dramatically different…

Superconductivity · Physics 2021-01-12 Kun Jiang , Congcong Le , Yinxiang Li , Shengshan Qin , Ziqiang Wang , Fuchun Zhang , Jiangping Hu

We reexamine whether the essence of high-Tc superconductivity is contained in doped Hubbard models on the square lattice by using recently developed pre-projected Gaussian-basis Monte Carlo method. The superconducting correlations of the…

Strongly Correlated Electrons · Physics 2007-12-04 Takeshi Aimi , Masatoshi Imada

The relevance of the single-band two-dimensional Hubbard model to superconductivity in the doped cuprates has recently been questioned, based on Density matrix Renormalization Group (DMRG) computations on extended t-J models that found…

Strongly Correlated Electrons · Physics 2023-06-30 Jeong-Pil Song , Sumit Mazumdar , R. Torsten Clay

We suggest that the high temperature superconductivity in cuprate compounds may emerge due to interaction between copper-oxygen layers mediated by in-plane plasmons. The strength of the interaction is determined by the c-axis geometry and…

Superconductivity · Physics 2007-05-23 M. N. Chernodub

We review the results of an extensive investigation of photoemission spectral weight using electronic models for the high-Tc superconductors. Here we show that some recently reported unusual features of the cuprates namely the presence of…

Condensed Matter · Physics 2009-10-28 A. Moreo , A. Nazarenko , S. Haas , A. Sandvik , E. Dagotto

The single-site two-electron exchange amplitude J_sd between the Cu 4s and Cu 3d_{x^2-y^2} states is found to be the pairing mechanism of high-T_c overdoped cuprates. The noninteracting part of the Hamiltonian spans the copper Cu 4s, Cu…

Superconductivity · Physics 2007-05-23 T. M. Mishonov , J. O. Indekeu , E. S. Penev

I present a selection of experimental results on metallic cuprates, both above the superconducting transition temperature $T_c$ (often called the strange metal state) and in the superconducting state. It highlights this still poorly…

Strongly Correlated Electrons · Physics 2025-01-07 T. V. Ramakrishnan

The relationship between crystal structures and superconducting critical temperatures has attracted considerable attention as a clue to designing higher-$T_{\rm c}$ superconductors. In particular, the relationship between the number $n$ of…

Strongly Correlated Electrons · Physics 2022-08-31 Akito Iwano , Youhei Yamaji

In a general class of one and two dimensional Hubbard models, we prove upper bounds for the two-point correlation functions at finite temperatures for electrons, for electron pairs, and for spins. The upper bounds decay exponentially in one…

Statistical Mechanics · Physics 2009-10-30 Tohru Koma , Hal Tasaki

We use a variational approach to gain insight into the strongly correlated d-wave superconducting state of the high Tc cuprates at T=0. We show that strong correlations lead to qualitatively different trends in pairing and phase coherence:…

Superconductivity · Physics 2009-11-10 Arun Paramekanti , Mohit Randeria , Nandini Trivedi

One of the major themes in correlated electron physics over the last quarter century has been the problem of high-temperature superconductivity in hole-doped copper-oxide compounds. Fundamental to this problem is the competition between…

Superconductivity · Physics 2013-08-19 John M. Tranquada

High-temperature superconductors are reviewed in light of the fact that their binding energy is ionic. The conducting electrons are dominated by the much larger energy scales coming from ligand Coulomb integrals, including the out-of-plane…

Superconductivity · Physics 2020-03-24 D. K. Sunko

High-temperature superconductivity is reported in a series of compositionally-complex cuprates with varying degrees of size and spin disorder. Three compositions of Y-site alloyed YBa$_2$Cu$_3$O$_{7-x}$, i.e., (5Y)BCO, were prepared using…

We consider extended versions of the Hubbard model which contain additional interactions between nearest neighbours. In this letter we show that a large class of these models has a superconducting ground state in arbitrary dimensions. In…

Condensed Matter · Physics 2009-10-22 Jan de Boer , Vladimir E. Korepin , Andreas Schadschneider

Although there is no complete theory of high temperature superconductivity, the importance of CuO$_2$ planes in cuprate superconductors is confirmed from both theory and experiments. Strong Coulomb repulsion between electrons on the CuO$_2$…

It is important to understand the mechanism of high-temperature superconductivity. It is obvious that the interaction with large energy scale is responsible for high critical temperature $T_c$. The Coulomb interaction is one of candidates…

Strongly Correlated Electrons · Physics 2015-03-13 Takashi Yanagisawa
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