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The phase diagram of order parameters for pairing and phase coherence in hole-doped cuprates is discussed. By examining carefully some recent inelastic neutron scattering data obtained on hole-doped cuprates and heavy fermion compound…

Superconductivity · Physics 2007-05-23 A. Mourachkine

Identifying and quantifying spatial correlation are important aspects of studying the collective behaviour of multi-agent systems. Pair correlation functions (PCFs) are powerful statistical tools which can provide qualitative and…

Statistics Theory · Mathematics 2018-06-06 Enrico Gavagnin , Jennifer P. Owen , Christian A. Yates

Wave functions based on electron-pair states provide inexpensive and reliable models to describe quantum many-body problems containing strongly-correlated electrons, given that broken-pair states have been appropriately accounted for by,…

Chemical Physics · Physics 2021-03-17 Artur Nowak , Ors Legeza , Katharina Boguslawski

In nonperturbative regimes, the superfluid instability in the two-dimensional Hubbard model can be described by an emergent BCS theory with small effective pairing constants. We compute the effective couplings using a controlled bold-line…

Strongly Correlated Electrons · Physics 2021-07-28 Fedor Šimkovic , Youjin Deng , Evgeny Kozik

In this work, the concentration and temperature dependences of the superconducting gap of the HTSC cuprate in the orthorhombic phase are obtained within the framework of the Hubbard model taking into account the exchange mechanism of…

Superconductivity · Physics 2022-06-22 I. A. Makarov , S. G. Ovchinnikov

The three band p-d model of strongly correlated electrons interacting with optical phonon via diagonal and off-diagonal electron-phonon interaction is considered within cluster perturbation theory. At first step the exact diagonalization of…

Strongly Correlated Electrons · Physics 2015-11-04 I. A. Makarov , E. I. Shneyder , P. A. Kozlov , S. G. Ovchinnikov

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 consider the procedure for calculating the pair correlation function in the context of the Cluster Variation Methods. As specific cases, we study the pair correlation function in the paramagnetic phase of the Ising model with nearest…

Statistical Mechanics · Physics 2015-06-25 E. N. M. Cirillo , G. Gonnella , M. Troccoli , A. Maritan

In order to shed light whether the `even-odd conjecture' (even numbers of legs will superconduct accompanied by a spin gap while odd ones do not) for correlated electrons in ladder systems, the pairing correlation is studied for the Hubbard…

Strongly Correlated Electrons · Physics 2009-10-30 Takashi Kimura , Kazuhiko Kuroki , Hideo Aoki

In the 35 years since the discovery of cuprate superconductors, we have not yet reached a unified understanding of their properties, including their material dependence of the superconducting transition temperature $T_{\text{c}}$. The…

Electron instabilities in the Hubbard model with the next nearest neighbor coupling are calculated by exact diagonalization in finite, two-dimensional Betts cells (lattices). A viable spin and charge coherent pairing, signaled by quantum…

Strongly Correlated Electrons · Physics 2011-12-05 Kun Fang , Gayanath Fernando , Armen Kocharian

Cuprate high-Tc superconductors are known to have several relationships between Tc and features of electronic structure. In the firstly found one, Tc is correlated with the Madelung potential difference between planar Cu and O sites.…

Superconductivity · Physics 2015-06-18 Kunihiko Yamaji , Takashi Yanagisawa

The Hubbard and related models serve as a fundamental starting point in understanding the novel experimental phenomena in correlated electron materials, such as superconductivity, Mott insulator, magnetism and stripe phases. Recent…

Strongly Correlated Electrons · Physics 2024-06-17 Zongsheng Zhou , Weinan Ye , Hong-Gang Luo , Jize Zhao , Jun Chang

In the paper the thermodynamics of a cubic cluster with 8 sites at quarter filling is characterized by means of exact diagonalization technique. Particular emphasis is put on the behaviour of such response functions as specific heat and…

Statistical Mechanics · Physics 2017-05-16 K. Szałowski , T. Balcerzak , M. Jaščur , A. Bobák , M. Žukovič

Determinant Quantum Monte Carlo (DQMC) is used to determine the pairing and magnetic response for a Hubbard model built up from four-site clusters -a two-dimensional square lattice consisting of elemental 2x2 plaquettes with hopping $t$ and…

Strongly Correlated Electrons · Physics 2014-08-19 T. Ying , R. Mondaini , X. D. Sun , T. Paiva , R. M. Fye , R. T. Scalettar

We report a brief overview ofa number of results on a type of pairing state symmetry in cuprates HTSC from a current literature. The results of recent high-precision measurements of near-nodal d-type gap functions by a modern laser-based…

Superconductivity · Physics 2024-10-02 T. B. Charikova , N. G. Shelushinina , M. R. Popov

The challenge of understanding high-temperature superconductivity has led to a plethora of ideas, but 30 years after its discovery in cuprates, very few have achieved convincing experimental validation. While Hubbard and t-J models were…

Superconductivity · Physics 2017-11-22 Dragan Mihailovic

The superconducting instabilities of the doped repulsive 2D Hubbard model are studied in the intermediate to strong coupling regime with help of the Dynamical Cluster Approximation (DCA). To solve the effective cluster problem we employ an…

Superconductivity · Physics 2009-10-31 Th. Maier , M. Jarrell , Th. Pruschke , J. Keller

A model of CuO$_2$ planes of cuprate perovskites, containing $d_{x^2-y^2}$ copper orbitals and symmetric combinations of oxygen $p_\sigma$ orbitals, is investigated using the strong coupling diagram technique. This approach allows one to…

Strongly Correlated Electrons · Physics 2020-09-01 Alexei Sherman

A comprehensive angle resolved photoemission spectroscopy study of the band structure in single layer cuprates is presented with the aim of uncovering universal trends across different materials. Five different hole- and electron-doped…