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We propose an extended Hubbard model with three molecular orbitals on a hexagonal lattice with $D_{3h}$ symmetry to study recently discovered superconductivity in A$_2$Cr$_3$As$_3$ (A=K,Rb,Cs). Effective pairing interactions from paramagnon…

Superconductivity · Physics 2023-04-05 Yi Zhou , Chao Cao , Fu-Chun Zhang

We study the effects of assisted tunneling or correlated hopping between next nearest neighbours in a two species Bose-Hubbard system. The system is the bosonic analong of the fermionic system studied in Phys. Rev. Lett. {\bf 116}, 225303…

Quantum Gases · Physics 2020-10-26 Julia Stasińska , Ravindra W. Chhajlany , Omjyoti Dutta , Maciej Lewenstein

We consider a two-dimensional generalization of the Su-Schrieffer-Heeger model which is known to possess a non-trivial topological band structure. For this model, which is characterized by a single parameter, the hopping ratio $0 \leq r\leq…

Superconductivity · Physics 2023-03-29 Ying Wang , Gautam Rai , Stephan Haas , Anuradha Jagannathan

Applying the recently developed variational approach to Kohn-Luttinger superconductivity to the t-t' Hubbard model in two dimensions, we have found, for sizeable next-nearest neighbor hopping, an electron density controlled quantum phase…

Superconductivity · Physics 2009-11-10 J. Mraz , R. Hlubina

We study a model (i.e., the $t_2-V$ model involving {\em next-nearest-neighbor hopping} and nearest-neighbor repulsion) in one-dimension that generically depicts the dominant transport mechanism in cooperative strong electron-phonon…

Strongly Correlated Electrons · Physics 2015-06-15 A. Ghosh , S. Yarlagadda

We study interplay of electronic correlation, randomness and dimensionality effects in half-filled random Hubbard chains weakly coupled via an interchain one-particle hopping. Based on the two-loop renormalization-group approach, phase…

Strongly Correlated Electrons · Physics 2007-05-23 Jun-ichiro Kishine , Kenji Yonemitsu

Understanding the physics of the two-dimensional Hubbard model is widely believed to be a key step in achieving a full understanding of high-$T_\mathrm{c}$ cuprate superconductors. In recent years, progress has been made by large-scale…

Strongly Correlated Electrons · Physics 2025-09-29 Tizian Blatz , Ulrich Schollwöck , Fabian Grusdt , Annabelle Bohrdt

We perform variational Monte Carlo simulations of the single-band Hubbard model on the square lattice with both nearest ($t$) and next-nearest ($t'$) neighbor hoppings. Our work investigates the consequences of increasing hole doping on the…

Strongly Correlated Electrons · Physics 2024-07-09 Antonio Lechiara , Vito Marino , Luca F. Tocchio

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

The ferromagnetism of the checkerboard lattice Hubbard model at quarter filling is one of the few exact ferromagnetic ground states known in the family of Hubbard models. When the nearest neighbor hopping, t1, is negligible compared with…

Superconductivity · Physics 2012-11-16 Yuki Yanagi , Yasufumi Yamashita , Kazuo Ueda

We report on a non-perturbative approach to the 1D and 2D Hubbard models that is capable of recovering both strong and weak-coupling limits. We first show that even when the on-site Coulomb repulsion, U, is much smaller than the bandwith,…

Condensed Matter · Physics 2009-11-07 Tudor D. Stanescu , Philip Phillips

We study a three-dimensional single-band repulsive Hubbard model at weak coupling. We establish the superconducting phase diagram in the parameter space of the chemical potential and the out-of-plane hopping strength. The model continuously…

Superconductivity · Physics 2019-01-01 Henrik Schou Røising , Felix Flicker , Thomas Scaffidi , Steven H. Simon

We investigate the ground-state phase diagram of the half-filled one-dimensional Hubbard model with next-nearest-neighbor hopping using the Density-Matrix Renormalization Group technique as well as an unrestricted Hartree-Fock…

Strongly Correlated Electrons · Physics 2009-10-31 S. Daul , R. M. Noack

Using renormalization group and exact diagonalization of small clusters we investigate the ground state phase diagram of a two-dimensional extended Hubbard model with nearest-neighbor exchange interaction J, in addition to the local Coulomb…

Superconductivity · Physics 2009-11-10 Liliana Arrachea , Drazen Zanchi

We study the phase diagram of the extended Hubbard model on a two-dimensional square lattice, including on-site (U) and nearest-neighbor (V) interactions, at weak couplings. We show that the charge-density-wave phase that is known to occur…

Superconductivity · Physics 2013-08-14 Wen-Min Huang , Chen-Yen Lai , Chuntai Shi , Shan-Wen Tsai

Multiband superconductivity gives rise to a rich landscape of possible pairing states. Here we study superconductivity in the multiband extension of the Hatsugai-Kohmoto model, an exactly solvable model of correlated electrons with…

Superconductivity · Physics 2026-05-14 Nico Hahn , R. Matthias Geilhufe

In this work we introduce one dimensional multi-component Hubbard model of 1/r hopping and U on-site energy. The wavefunctions, the spectrum and the thermodynamics are studied for this model in the strong interaction limit $U=\infty$. In…

Condensed Matter · Physics 2009-10-22 D. F. Wang

An effective Hamiltonian for the Kohn-Luttinger superconductor is constructed and solved in the BCS approximation. The method is applied to the t-t' Hubbard model in two dimensions with the following results: (i) The superconducting phase…

Condensed Matter · Physics 2009-11-07 J. Mraz , R. Hlubina

Describing and achieving `unconventional' superconductivity remains a forefront challenge in quantum many-body physics. Here we use a unitary mapping, combined with the well-established properties of the attractive Hubbard model to…

Superconductivity · Physics 2024-04-18 Xingchuan Zhu , Junsong Sun , Shou-Shu Gong , Wen Huang , Shiping Feng , Richard T. Scalettar , Huaiming Guo

The dimensionality of a correlated many-body system has a large impact on its electronic properties. When electrons are confined to one-dimensional chains of atoms their behavior is very different than in higher dimensional systems because…