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The ground state of a one-dimensional Hubbard model having the next-nearest neighbor hopping (t') as well as the nearest-neighbor one (t) is numerically investigated at half-filling. A quantum Monte Carlo result shows a slowly decaying…

Strongly Correlated Electrons · Physics 2009-10-30 Kazuhiko Kuroki , Ryotaro Arita , Hideo Aoki

The low-temperature thermal conductivity \kappa_0/T of d-wave superconductors is generally thought to attain a "universal" value independent of disorder at sufficiently low temperatures, providing an important measure of the magnitude of…

Superconductivity · Physics 2009-11-11 Brian M. Andersen , P. J. Hirschfeld

Phase transition in a honeycomb lattice is studied by the means of the two dimensional Hubbard model and the exact diagonalization dynamical mean field theory at zero temperature. At low energies, the dispersion relation is shown to be a…

Strongly Correlated Electrons · Physics 2015-06-23 M. Ebrahimkhas

We study a two-band Hubbard model using the dynamical mean-field theory combined with the exact diagonalization method. At the electron density $n=2$, a transition from a band-insulator to a correlated semimetal occurs when the on-site…

Strongly Correlated Electrons · Physics 2007-05-23 Y. Ono , K. Sano

Even though the Hubbard model is one of the most fundamental models of highly correlated electrons, analytical and numerical data describing its thermodynamics at nonzero magnetization are relatively scarce. We present a detailed…

Statistical Mechanics · Physics 2020-02-03 Ovidiu I. Patu , Andreas Klumper , Angela Foerster

To the Hubbard model on a square lattice we add an interaction, $W$, which depends upon the square of a near-neighbor hopping. We use zero temperature quantum Monte Carlo simulations on lattice sizes up to $16 \times 16$, to show that at…

Strongly Correlated Electrons · Physics 2009-10-30 F. F. Assaad , M. Imada , D. J. Scalapino

The two dimensional Hubbard model with a single spin-up electron interacting with a finite density of spin-down electrons is studied using the quantum Monte Carlotechnique, a new conjugate gradient method for the evaluation of the Edwards…

Condensed Matter · Physics 2009-10-22 Sandro Sorella

We explore the temperature effects in the superconducting phases of a hybridized two-band system. We show that for zero hybridization between the bands, there are two different critical temperatures. However, for any finite hybridization…

Superconductivity · Physics 2018-05-23 Heron Caldas , A. Celes , David Nozadze

The repulsive Fermi Hubbard model on the square lattice has a rich phase diagram near half-filling (corresponding to the particle density per lattice site $n=1$): for $n=1$ the ground state is an antiferromagnetic insulator, at $0.6 < n…

Strongly Correlated Electrons · Physics 2017-09-06 Fedor Šimkovic IV. , Youjin Deng , N. V. Prokof'ev , B. V. Svistunov , I. Tupitsyn , Evgeny Kozik

The fermionic Hubbard model (FHM)[1], despite its simple form, captures essential features of strongly correlated electron physics. Ultracold fermions in optical lattices[2, 3] provide a clean and well-controlled platform for simulating…

We study the interplay between quasi-periodic disorder and superconductivity in a 1D tight-binding model with the quasi-periodic modulation of on-site energies that follow the Fibonacci rule and all the eigenstates are multifractal. As a…

Superconductivity · Physics 2023-07-12 Meng Sun , Tilen Čadež , Igor Yurkevich , Alexei Andreanov

We investigate pairing symmetry and transition temperature in the trellis-lattice Hubbard model. We solve the \'Eliashberg equation using the third-order perturbation theory with respect to the on-site repulsion $U$. We find that a…

Superconductivity · Physics 2009-11-10 Sotaro Sasaki , Hiroaki Ikeda , Kosaku Yamada

We investigate the SU($N$) Hubbard model for the multi-component fermionic optical lattice system, combining dynamical mean-field theory with the continuous-time quantum Monte Carlo method. We obtain the finite temperature phase diagrams…

Quantum Gases · Physics 2016-07-20 Hiromasa Yanatori , Akihisa Koga

We consider the extended Hubbard model in the atomic limit on a Bethe lattice with coordination number z. By using the equations of motion formalism, the model is exactly solved for both attractive and repulsive intersite potential V. By…

Strongly Correlated Electrons · Physics 2009-04-24 F. Mancini , F. P. Mancini , A. Naddeo

We study the ground state of the two-dimensional Anderson-Hubbard model using a quantum real space renormalization group method. We obtain the phase diagram near half filling. The system is always insulating with disorder. At half filling,…

Condensed Matter · Physics 2007-05-23 Jaichul Yi Lizeng Zhang , Geoff S Canright

Ultracold fermionic atoms in optical lattices offer pristine realizations of Hubbard models, which are fundamental to modern condensed matter physics. Despite significant advancements, the accessible temperatures in these optical lattice…

We present a {\it numerically exact} study of the Hubbard model with spin-dependent anisotropic hopping on the square lattice using auxiliary-field quantum Monte Carlo method. At half filling, the system undergoes Ising phase transitions…

Strongly Correlated Electrons · Physics 2025-03-13 Zhuotao Xie , Yu-Feng Song , Yuan-Yao He

We take advantage of recent improvements in the grand canonical Hybrid Monte Carlo algorithm, to perform a precision study of the single-particle gap in the hexagonal Hubbard model, with on-site electron-electron interactions. After…

Strongly Correlated Electrons · Physics 2021-01-04 Johann Ostmeyer , Evan Berkowitz , Stefan Krieg , Timo A. Lähde , Thomas Luu , Carsten Urbach

We employ a recently developed computational many-body technique to study for the first time the half-filled Anderson-Hubbard model at finite temperature and arbitrary correlation ($U$) and disorder ($V$) strengths. Interestingly, the…

Strongly Correlated Electrons · Physics 2017-08-29 Niravkumar D. Patel , Anamitra Mukherjee , Nitin Kaushal , Adriana Moreo , Elbio Dagotto

The nature of superconductivity in heavy-fermion materials is a subject under intense debate, and controlling this many-body state is central for its eventual understanding. Here, we examine how proximity effects may change this phenomenon,…

Strongly Correlated Electrons · Physics 2020-08-05 Sebastião dos Anjos Sousa-Júnior , José P. de Lima , Natanael C. Costa , Raimundo R. dos Santos