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The two-particle irreducible (2PI) effective action theories are employed to study the strongly fluctuating electron systems, under the formalism of the two-dimensional Hubbard model. We obtain the corresponding quantum 2PI effective action…

Strongly Correlated Electrons · Physics 2012-11-07 Wei-Jie Fu

We study the fluctuations responsible for pairing in the $d$-wave superconducting state of the two-dimensional Hubbard model at intermediate coupling within a cluster dynamical mean-field theory with a numerically exact quantum impurity…

Superconductivity · Physics 2022-08-30 Xinyang Dong , Lorenzo Del Re , Alessandro Toschi , Emanuel Gull

The multiorbital Hubbard model in the strong coupling limit is analyzed for the effectively antiferromagnetic Hund's coupling relevant to fulleride superconductors with three orbitals per molecule. The localized spin-orbital model describes…

Strongly Correlated Electrons · Physics 2021-06-30 Ryuta Iwazaki , Shintaro Hoshino

Slave-spin mean-field theory, a light and accurate technique to model electronic correlations in Fermi-liquid phases of multi-orbital materials, is pedagogically exposed in this chapter, with a focus on its recent successful application to…

Strongly Correlated Electrons · Physics 2017-06-14 Luca de' Medici , Massimo Capone

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

In order to identify the most favorable situation for superconductivity in the repulsive single-band Hubbard model, we have studied instabilities for d-wave pairing mediated by antiferromagnetic spin fluctuations and p-pairing mediated by…

Condensed Matter · Physics 2009-10-31 Ryotaro Arita , Kazuhiko Kuroki , Hideo Aoki

Motivated by the experimental detection of superconductivity in the low-carrier density half-Heusler compound YPtBi, we study the pairing instabilities of three-dimensional strongly spin-orbit coupled semimetals with a quadratic band…

Superconductivity · Physics 2018-01-03 Lucile Savary , Jonathan Ruhman , Jörn W. F. Venderbos , Liang Fu , Patrick A. Lee

The intraorbital repulsive Hubbard interaction cannot lead to attractive superconducting pairing states, except through the Kohn-Luttinger mechanism. This situation may change when we include additional local interactions such as the…

Superconductivity · Physics 2019-02-06 Alfred K. C. Cheung , D. F. Agterberg

The Hubbard model represents the fundamental model for interacting quantum systems and electronic correlations. Using the two-dimensional half-filled Hubbard model at weak coupling as a testing ground, we perform a comparative study of a…

Multiband superconductors have featured one of the main challenges to achieve a comprehensive understanding of unconventional superconductivity. Here, the multiband character is studied separately as orbital and sublattice degrees of…

Superconductivity · Physics 2024-03-06 Lauro B. Braz , George B. Martins , Luis G. G. V. Dias da Silva

We study the quantum many-body instabilities of interacting electrons with SU(2)$\times$SU(2) symmetry in spin and orbital degrees of freedom on the triangular lattice near van-Hove filling. Our work is motivated by effective models for the…

Strongly Correlated Electrons · Physics 2019-05-15 Laura Classen , Carsten Honerkamp , Michael M. Scherer

We study how to incorporate Mott physics in the BCS-type superconductor, motivated from the fact that high $T_c$ superconductivity results from a Mott insulator via hole doping. The U(1) slave-rotor representation was proposed to take local…

Strongly Correlated Electrons · Physics 2009-11-11 Ki-Seok Kim

The Hubbard model is the simplest model that is believed to exhibit superconductivity arising from purely repulsive interactions, and has been extensively applied to explore a variety of unconventional superconducting systems. Here we study…

Spin-triplet superconductivity is a key platform for topological quantum computing, yet its experimental realization and control in solid-state materials remain a significant challenge. For this purpose, we propose an ultrafast optical…

Strongly Correlated Electrons · Physics 2025-12-29 Zecheng Shen , Chendi Xie , Wei-Chih Chen , Yao Wang

We calculate and resolve with unprecedented detail the local density of states (DOS) and momentum-dependent spectral functions at zero temperature of one of the key models for strongly correlated electron materials, the degenerate…

Strongly Correlated Electrons · Physics 2021-01-04 K. Hallberg , Y. Núñez-Fernández

The pairing symmetry in the electron mechanism for superconductivity is explored when charge fluctuations coexist with spin fluctuations. The extended Hubbard model is adopted to obtain, with the fluctuation exchange approximation, a phase…

Superconductivity · Physics 2010-02-17 Seiichiro Onari , Ryotaro Arita , Kazuhiko Kuroki , Hideo Aoki

A possibility of the electronic origin of the high-temperature superconductivity in cuprates is probed with the quantum Monte Carlo method by revisiting the three-band Hubbard model comprising Cu$3d_{x^2-y^2}$ and O$2p_\sigma$ orbitals. The…

Condensed Matter · Physics 2009-10-28 Kazuhiko Kuroki , Hideo Aoki

We study d-wave superconductivity in the extended Hubbard model in the strong correlation limit for a large intersite Coulomb repulsion V. We argue that in the Mott-Hubbard regime with two Hubbard subbands there emerges a new energy scale…

Strongly Correlated Electrons · Physics 2014-09-08 Nikolay M. Plakida , Viktor S. Oudovenko

Possible high-$T_c$ superconductivity (SC) has been found experimentally in the bilayer material La$_3$Ni$_2$O$_7$ under high pressure recently, in which the Ni-$3d_{3z^2-r^2}$ and $3d_{x^2-y^2}$ orbitals are expected to play a key role in…

Superconductivity · Physics 2024-05-17 Yi-Heng Tian , Yin Chen , Jia-Ming Wang , Rong-Qiang He , Zhong-Yi Lu

Understanding superconductivity emerging from repulsive fermions remains a major challenge in condensed matter physics. In this paper, we investigate the pairing tendencies in a one-dimensional, three component repulsive Hubbard model,…

Superconductivity · Physics 2025-12-10 Sheng Chen , Qiao Yang , Wéi Wú , Fadi Sun