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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 quest to understand the nature of superconductivity in cuprates has spotlighted the pair density wave (PDW) -- a superconducting state characterized by a spatially modulated order parameter. Despite significant advances in understanding…

Strongly Correlated Electrons · Physics 2023-09-22 Hong-Chen Jiang , Thomas Peter Devereaux

We study the dimensional crossover from 1D to 2D in half-filled and lightly doped, weakly interacting N-leg Hubbard ladders. In this case, the Hubbard ladders are equivalent to a N-band model. Using renormalization group techniques, we…

Strongly Correlated Electrons · Physics 2009-11-07 Urs Ledermann

The attractive Hubbard model plays a paradigmatic role in the study of superconductivity (superfluidity) and has become directly realizable in ultracold atom experiments on optical lattices. However, the critical temperatures, $T_c$'s,…

Superconductivity · Physics 2026-03-05 Rodrigo A. Fontenele , Natanael C. Costa , Thereza Paiva , Raimundo R. dos Santos

The Hubbard model and its extensions are important microscopic models for understanding high- $T_c$ superconductivity in cuprates. In the model with next-nearest-neighbor hopping $t'$ (the $t'$- Hubbard model), pairing is strongly…

Strongly Correlated Electrons · Physics 2020-07-22 Chia-Min Chung , Mingpu Qin , Shiwei Zhang , Ulrich Schollwöck , Steven R. White

Strong evidence of unconventional superconductivity has been very recently reported experimentally in twisted transition metal dichalcogenide bilayer and gathered a significant amount of interest. Here we consider the Hubbard model on a…

Superconductivity · Physics 2025-10-29 Andrzej Biborski , Michał Zegrodnik

A self-consistent set of equations for the one-electron self-energy in the ladder approximation is derived for the attractive Hubbard model in the superconducting state. The equations provide an extension of a T-matrix formalism recently…

Superconductivity · Physics 2009-10-30 M. H. Pedersen , J. J. Rodriguez-Nunez , H. Beck , T. Schneider , S. Schafroth

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

The electronic properties of multilayers of strongly correlated models for cuprate superconductors are investigated using cluster dynamical mean-field techniques. We focus on combinations of underdoped and overdoped layers and find that the…

Strongly Correlated Electrons · Physics 2009-11-13 Satoshi Okamoto , Thomas A. Maier

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

Superconductivity in the Hubbard model is studied on a series of lattices in which dimers are coupled in various types of arrays. Using fluctuation exchange method and solving the linearized Eliashberg equation, the transition temperature…

Strongly Correlated Electrons · Physics 2009-11-07 Kazuhiko Kuroki , Takashi Kimura , Ryotaro Arita

We study the ground state properties of the hole-doped three-band Hubbard (Emery) model, describing the copper-oxygen planes of the cuprates, using large-scale 2D tensor network calculations. Our simulations reveal a period 4 stripe state…

Strongly Correlated Electrons · Physics 2023-11-29 Boris Ponsioen , Sangwoo S. Chung , Philippe Corboz

The ground-state phase diagram is numerically studied for an electronic model consisting of the spin exchange term (J) and the correlated hopping term (t_3: the three-site term). This model has no single-particle hopping and the ratio of…

Strongly Correlated Electrons · Physics 2009-11-07 Y. Saiga , M. Imada

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 present a systematic study of the interaction, doping, and layer dependence of the $d_{x^2-y^2}$-wave pairing susceptibility of the Hubbard model for a stacked 2D square lattice. We perform a multi-index perturbative expansion up to…

Superconductivity · Physics 2024-10-15 Rayan Farid , J. P. F. LeBlanc

We present an analysis of a system of weakly coupled Hubbard chains based on combining an exact study of spectral functions of the uncoupled chain system with a renormalization group method for the coupled chains. For low values of the…

Strongly Correlated Electrons · Physics 2009-11-10 J. M. P. Carmelo , F. Guinea , K. Penc , P. D. Sacramento

Superconductivity in the cuprates exhibits many unusual features. We study the two-dimensional Hubbard model with plaquette dynamical mean-field theory to address these unusual features and relate them to other normal-state phenomena, such…

Strongly Correlated Electrons · Physics 2016-03-15 L. Fratino , P. Sémon , G. Sordi , A. -M. S. Tremblay

Superconductivity in the Hubbard model on a square lattice near half filling is studied using an optimization (or correlated) variational Monte Carlo method. Second-order processes of the strong-coupling expansion are considered in the wave…

Strongly Correlated Electrons · Physics 2009-11-10 Hisatoshi Yokoyama , Yukio Tanaka , Masao Ogata , Hiroki Tsuchiura

The two-dimensional (2D) Hubbard model is widely believed to capture key ingredients of high-$T_c$ superconductivity in cuprate materials. However, compelling evidence remains elusive. In particular, various magnetic orders may emerge as…

Strongly Correlated Electrons · Physics 2025-10-30 Changkai Zhang , Jheng-Wei Li , Jan von Delft

We argue that the combination of strong repulsive interactions and high magnetic fields can generate electron pairing and superconductivity. Inspired by the large lattice constants of moir\'e materials, which make large flux per unit cell…

Strongly Correlated Electrons · Physics 2025-09-04 Stefan Divic , Valentin Crépel , Tomohiro Soejima , Xue-Yang Song , Andrew J. Millis , Michael P. Zaletel , Ashvin Vishwanath