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The interplay between magnetic and superconducting states on a square lattice is studied using the extended Hubbard model, which takes into account the attraction of electrons located at nearest neighbor sites. Ferro-, antiferro-, and…

Strongly Correlated Electrons · Physics 2022-07-20 V. F. Gilmutdinov , M. A. Timirgazin , A. K. Arzhnikov

Polarized inelastic neutron scattering experiments recently identified the amplitude (Higgs) mode in C$_9$H$_{18}$N$_2$CuBr$_4$, a two-dimensional near-quantum-critical spin-1/2 two-leg ladder compound, which exhibits a weak easy-axis…

Strongly Correlated Electrons · Physics 2019-04-03 Tao Ying , Kai P. Schmidt , Stefan Wessel

Bose-Hubbard models are simple paradigmatic lattice models used to study dynamics and phases of quantum bosonic matter. We combine the extended Bose-Hubbard model in the hard-core regime with ring-exchange hoppings. By investigating the…

Quantum Gases · Physics 2022-06-09 Krzysztof Giergiel , Ruben Lier , Piotr Surówka , Arkadiusz Kosior

In order to explore how superconductivity arises when charge fluctuations and spin fluctuations coexist, we have obtained a phase diagram against the off-site repulsion V and band filling n for the extended, repulsive Hubbard model on the…

Superconductivity · Physics 2009-11-10 Seiichiro Onari , Ryotaro Arita , Kazuhiko Kuroki , Hideo Aoki

In order to study whether the inter-band nesting can favor superconductivity arising from electron-electron repulsion in a three-dimensional system, we have looked at the repulsive Hubbard model on a stack of honeycomb (i.e., non-Bravais)…

Superconductivity · Physics 2009-11-07 Seiichiro Onari , Kazuhiko Kuroki , Ryotaro Arita , Hideo Aoki

In order to discuss superconductivity in orbital degenerate systems, a microscopic Hamiltonian is introduced. Based on the degenerate model, a strong-coupling theory of superconductivity is developed within the fluctuation exchange (FLEX)…

Superconductivity · Physics 2016-08-31 Tetsuya Takimoto , Takashi Hotta , Kazuo Ueda

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

A strong-coupling expansion for the antiferromagnetic phase of the Hubbard model is derived in the framework of the slave-boson mean-field approximation. The expansion can be obtained in terms of moments of the density of states of freely…

Condensed Matter · Physics 2009-10-28 P. J. H. Denteneer

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

Cluster dynamical mean field calculations are used to construct the superconducting gap function of the two dimensional Hubbard model. The frequency dependence of the imaginary part of the gap function indicates that the pairing is…

Strongly Correlated Electrons · Physics 2014-12-17 Emanuel Gull , Andrew J. Millis

Here we discuss Quantum Monte Carlo results for the magnetic susceptibility, single-particle spectral weight and the irreducible particle-particle interaction vertex of the two-dimensional Hubbard model. In the doped system, as the…

Condensed Matter · Physics 2007-05-23 D. J. Scalapino

The extended Hubbard model with an attractive density-density interaction, positive pair hopping, or both, is shown to host topological phases, with a doubly degenerate entanglement spectrum and interacting edge spins. This constitutes a…

Strongly Correlated Electrons · Physics 2020-08-11 Roman Rausch , Matthias Peschke

We study the weakly interacting Hubbard model on the square lattice using a one-loop renormalization group approach. The transition temperature T_c between the metallic and (nearly) ordered states is found. In the parquet regime, (T_c >>…

Superconductivity · Physics 2009-10-30 D. Zanchi , H. J. Schulz

The attractive Hubbard model has become a model readily realizable with ultracold atoms on optical lattices. However, the superconducting (superfluid) critical temperatures, $T_c$'s, are still somewhat smaller than the lowest temperatures…

We study the ground state properties of the one-dimensional extended Hubbard model at half-filling from the perspective of its particle reduced density matrix. We focus on the reduced density matrix of $2$ fermions and perform an analysis…

Strongly Correlated Electrons · Physics 2022-04-11 Diego L. B. Ferreira , Thiago O. Maciel , Reinaldo O. Vianna , Fernando Iemini

The Hubbard model on an anisotropic triangular lattice in two dimensions, a fundamental model for frustrated electron physics, displays a wide variety of phases and phase transitions. This work investigates the model using the ladder dual…

Strongly Correlated Electrons · Physics 2025-07-11 Yang Yu , Shaozhi Li , Sergei Iskakov , Emanuel Gull

Recent advance in quantum simulations of interacting photons using superconducting circuits offers opportunities for investigating the Bose-Hubbard model in various geometries with hopping coefficients and self-interactions tuned to both…

Superconductivity · Physics 2016-03-01 Xiu-Hao Deng , Chen-Yen Lai , Chih-Chun Chien

Optical lattice systems provide exceptional platforms for quantum simulation of many-body systems. We focus on the doubly modulated Bose-Hubbard model driven by both time-dependent on-site energy and interaction, and predict the emergence…

Quantum Gases · Physics 2019-11-20 Hongzheng Zhao , Johannes Knolle , Florian Mintert

Bosonic lattice systems with non-trivial interactions represent an intriguing platform to study exotic phases of matter. Here, we study the effects of extended correlated hopping processes in a system of bosons trapped in a lattice…

Unconventional strongly correlated phases of the repulsive Fermi-Hubbard model, which could be emulated by ultracold vapors loaded in optical lattices, are investigated by means of energy minimizations with quantum number projection before…

Quantum Gases · Physics 2015-10-20 A. Leprévost , O. Juillet , R. Frésard
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