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We introduce a concept of hidden ladders for the bilayer Ruddlesden-Popper type compounds: While the crystal structure is bilayer, $d_{xz}$ ($d_{yz}$) orbitals in the relevant $t_{2g}$ sector of the transition metal form a two-leg ladder…

Superconductivity · Physics 2017-11-22 Daisuke Ogura , Hideo Aoki , Kazuhiko Kuroki

I investigate the superconductivity of the three-band $t$-$J$-$U$ model derived from the three-band Hubbard model using the Schrieffer-Wolff transformation. My model is designed considering the hole-doped high-$T_{\mathrm{c}}$…

Superconductivity · Physics 2021-07-26 Shigeru Koikegami

The bilayer Hubbard model with an intra-layer hopping $t$ and an inter-layer hopping $t_\perp$ provides an interesting testing ground for several aspects of what has been called unconventional superconductivity. One can study the type of…

Superconductivity · Physics 2011-07-20 T. A. Maier , D. J. Scalapino

The quarter-filling extended Hubbard model on the triangular lattice is studied to explore pairing instability in the three-fold charge-ordered (CO) metal. We derive a second-order strong-coupling effective Hamiltonian of doped carriers…

Superconductivity · Physics 2015-05-13 Shotaro Morohoshi , Yoshiyuki Fukumoto

Motivated by the discovery of high-temperature superconductivity in bilayer nickelate La$_3$Ni$_2$O$_7$ under pressure, we investigate the ground-state phase diagram and correlation effects using determinant quantum Monte Carlo simulations…

Strongly Correlated Electrons · Physics 2025-02-07 Jian-Jian Yang , Dao-Xin Yao , Han-Qing Wu

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

Binding energy, which quantifies pair formation, is a key factor in the emergence of superconductivity. Here, we show that even when multiple spins are complexly coupled, hole-doped systems, which can be mapped onto the universal hardcore…

Superconductivity · Physics 2026-05-22 Ritsuki Hirabayashi , Masataka Kakoi , Ryota Ueda , Kazuhiko Kuroki , Tatsuya Kaneko

The co-existence of band Jahn-Teller (BJT) effect with superconductivity (SC) is studied for correlated systems, with orbitally degenerate bands using a simple model. The Hubbard model for a doubly degenerate orbital with the on-site…

Condensed Matter · Physics 2009-10-31 Haranath Ghosh , Manidipa Mitra , S. N. Behera , S. K. Ghatak

Band theory and BCS theory are arguably the most successful theories of condensed matter physics. Yet, in a number of materials, in particular the high-temperature superconductors and the layered organic superconductors, they fail. In these…

Superconductivity · Physics 2014-04-17 A. -M. S. Tremblay

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 study the effect of density-assisted hopping on different dimerized lattice geometries, such as bilayers and ladder structures. We show analytically that the density-assisted hopping induces an attractive interaction in the lower…

Strongly Correlated Electrons · Physics 2026-03-10 Franco T. Lisandrini , Edmond Orignac , Roberta Citro , Ameneh Sheikhan , Corinna Kollath

Cooperation and competition between the antiferromagnetic, d-wave superconducting and Mott-insulating states are explored for the two-dimensional Hubbard model including nearest and next-nearest-neighbor hoppings at zero temperature. Using…

Strongly Correlated Electrons · Physics 2007-12-11 M. Aichhorn , E. Arrigoni , M. Potthoff , W. Hanke

We analyze in detail the superconductivity that arises in an extended Hubbard model describing a multiband system with repulsive interactions. We show that virtual interband processes induce an effective attractive interaction for small…

Superconductivity · Physics 2022-07-22 Valentin Crépel , Tommaso Cea , Liang Fu , Francisco Guinea

We investigate by means of Dynamical Mean-Field Theory the crossover from BCS superconductivity to Bose-Einstein (BE) condensation of preformed pairs in the attractive Hubbard model. We follow the evolution of the two energy scales…

Strongly Correlated Electrons · Physics 2007-08-07 A. Toschi , M. Capone , C. Castellani

The Hubbard model is believed to capture the essential physics of cuprate superconductors. However, recent theoretical studies suggest that it fails to reproduce a robust and homogeneous superconducting ground state. Here, using resonant…

Based on recent experiments, we describe the Mott insulating, but undimerized state of $TiOCl$ using the local-density approximation combined with multi-orbital dynamical mean field theory (LDA+DMFT) for this $3d^{1}$ system.Good agreement…

Strongly Correlated Electrons · Physics 2007-05-23 L. Craco , M. S. Laad , E. Müller-Hartmann

The recent discovery of superconductivity in La$_3$Ni$_2$O$_7$ raises key questions about its mechanism and the nature of pairing symmetry. This system is believed to be described by a bilayer two-orbital Hubbard model. The considerations…

Superconductivity · Physics 2025-02-14 Guijing Duan , Zhiguang Liao , Lei Chen , Yiming Wang , Rong Yu , Qimiao Si

Since the discovery of superconductivity in infinite-layer nickelates RNiO$_2$ (R=La, Pr, Nd), great research efforts have been paid to unveil its underlying superconducting mechanism. However, the physical origin of the intriguing…

Strongly Correlated Electrons · Physics 2022-07-20 T. Y. Xie , Z. Liu , Chao Cao , Z. F. Wang , J. L. Yang , W. Zhu

The discovery of high-$T_c$ superconductivity (SC) in La$_3$Ni$_2$O$_7$ (LNO) has aroused a great deal of interests. Previously, it was proposed that the Ni-$3d_{z^2}$ orbital is crucial to realize the high-$T_c$ SC in LNO: The preformed…

Superconductivity · Physics 2024-09-20 Chen Lu , Zhiming Pan , Fan Yang , Congjun Wu

We study possible superconductivity in a carrier-doped iridium oxide insulator Sr$_{2}$IrO$_{4}$ based on an effective $t_{2g}$ three-orbital Hubbard model on the square lattice with a large spin-orbit coupling (SOC). Numerically solving…

Superconductivity · Physics 2019-09-02 Kazutaka Nishiguchi , Tomonori Shirakawa , Hiroshi Watanabe , Ryotaro Arita , Seiji Yunoki