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We evaluate numerically several superconducting correlation functions in a generalized $t-J$ model derived for hole-doped CuO$_2$ planes. The model includes a three-site term $t''$ similar to that obtained in the large $U$ limit of the…

Condensed Matter · Physics 2007-05-23 C. D. Batista , A. A. Aligia

We present a high-accuracy procedure for electronic structure calculations of strongly correlated materials. To address limitations in current electronic structure methods, we employ density functional theory in combination with the…

Recent scanning tunneling microscopy measurements on cuprate superconductors have revealed remarkable spatial inhomogeneities in the single-particle energy gap. Using cellular dynamical mean-field theory, we study the zero temperature…

Strongly Correlated Electrons · Physics 2015-05-19 Satoshi Okamoto , Thomas A. Maier

Using the two-particle self-consistent approach and cluster perturbation theory for the two-dimensional t-t'-t''-U Hubbard model, we discuss weak- and strong-coupling mechanisms for the pseudogap observed in recent angle resolved…

Strongly Correlated Electrons · Physics 2009-11-10 V. Hankevych , B. Kyung , A-M. Dare , D. Senechal , A. M. Tremblay

Starting from the copper-oxygen Hamiltonian of the CuO2 planes, we derive analytically an extended 1-band Hubbard Hamiltonian for the electrons on copper sites, through a canonical transformation which eliminates the oxygen sites. The model…

Superconductivity · Physics 2009-01-05 George Kastrinakis

We study the Cu and O spectral density of states and the optical conductivity of CuO_2 planes using an effective generalized one-band Hubbard model derived from the extended three-band Hubbard model. We solve exactly a square cluster of 10…

Superconductivity · Physics 2009-10-30 M. E. Simon , A. A. Aligia , E. R. Gagliano

In the hole-doped cuprates, the pseudogap refers to a suppression of the density of states at low energies, in the absence of superconducting long-range order. Numerous calculations of the Hubbard model show a pseudogap in the…

Strongly Correlated Electrons · Physics 2020-10-27 Edwin W. Huang

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

We characterize the three-orbital Hubbard model using state-of-the-art determinant quantum Monte Carlo (DQMC) simulations with parameters relevant to the cuprate high-temperature superconductors. The simulations find that doped holes…

Strongly Correlated Electrons · Physics 2016-05-03 Y. F. Kung , C. -C. Chen , Yao Wang , E. W. Huang , E. A. Nowadnick , B. Moritz , R. T. Scalettar , S. Johnston , T. P. Devereaux

We study the hole binding energy and pairing correlations in the three-band Hubbard model coupled to an apical oxygen phonon, by exact diagonalization and constrained-path Monte Carlo simulations. In the physically relevant charge-transfer…

Strongly Correlated Electrons · Physics 2011-03-02 Z. B. Huang , H. Q. Lin , E. Arrigoni

We calculate the properties of the two-band Hubbard model using the Dynamical Cluster Approximation. The phase diagram resembles the generic phase diagram of the cuprates, showing a strong asymmetry with respect to electron and hole doped…

Strongly Correlated Electrons · Physics 2007-05-23 A. Macridin , Th. Maier , M. Jarrell , G. A. Sawatzky

The three-band Hubbard model is a fundamental model for understanding properties of the Copper-Oxygen planes in cuprate superconductors. We use cutting-edge auxiliary-field quantum Monte Carlo (AFQMC) methods to investigate ground state…

Superconductivity · Physics 2019-04-17 Ettore Vitali , Hao Shi , Adam Chiciak , Shiwei Zhang

A challenge - and opportunity - is offered to the Hubbard Model community of solutions extant for the strong coupling region. A rigorous and quantitatively demanding test - a Computer Lab - is presented based on certain exact results for…

Strongly Correlated Electrons · Physics 2018-12-11 Donald M. Esterling

We carry out a detailed numerical study of the three-band Hubbard model in the underdoped region both in the hole- as well as in the electron-doped case by means of the variational cluster approach. Both the phase diagram and the low-energy…

Strongly Correlated Electrons · Physics 2009-07-16 E. Arrigoni , M. Aichhorn , M. Daghofer , W. Hanke

We apply the recently introduced Hubbard model approach to quantitatively describe the experimental charge stability diagram and tunnel coupling of silicon double quantum dot systems. The results calculated from both the generalized Hubbard…

Mesoscale and Nanoscale Physics · Physics 2011-06-13 S. Das Sarma , Xin Wang , Shuo Yang

A full three-band model for the CuO$_{2}$ plane with inclusion of all essential interactions - Cu-O and O-O hopping, repulsion at the copper and oxygen and between them - is considered. A general procedure of the low-energy reduction of the…

Condensed Matter · Physics 2009-10-22 V. I. Belinicher , A. L. Chernyshev

The model of strongly correlated electrons with the correlated hopping term and an additional interaction between holes $V$ is solved exactly in one dimension at a special point where the number of hole pairs is conserved. As a function of…

Statistical Mechanics · Physics 2009-10-30 F. C. Alcaraz , R. Z. Bariev

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

We constructed the one-particle spectral functions (diagonal and off-diagonal) which reproduce BCS for weak coupling and which take into account the effect of correlations on superconductivity in the attractive Hubbard model. The diagonal…

Condensed Matter · Physics 2016-08-17 J. J. Rodríguez-Núñez , C. E. Cordeiro , A. Delfino

A microscopic theory for electronic spectrum of the CuO2 plane within an effective p-d Hubbard model is proposed. Dyson equation for the single-electron Green function in terms of the Hubbard operators is derived which is solved…

Strongly Correlated Electrons · Physics 2015-06-25 N. M. Plakida , V. S. Oudovenko