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The phase diagram of the d=3 Hubbard model is calculated as a function of temperature and electron density n_i, in the full range of densities between 0 and 2 electrons per site, using renormalization-group theory. An antiferromagnetic…

Strongly Correlated Electrons · Physics 2007-05-23 Michael Hinczewski , A. Nihat Berker

We study the Mott transition in a frustrated Hubbard model with next-nearest neighbor hopping at half-filling. The interplay between interaction, dimensionality and geometric frustration closes the one-dimensional Mott gap and gives rise to…

Strongly Correlated Electrons · Physics 2012-09-19 Marcin Raczkowski , Fakher F. Assaad

The mechanism of fermionic pairing is the key to understanding various phenomena such as high-temperature superconductivity and the pseudogap phase in cuprate materials. We study the pair correlations in the attractive Hubbard model using…

Quantum Gases · Physics 2020-05-20 C. F. Chan , M. Gall , N. Wurz , M. Köhl

A formalism based on the fermionic functional-renormalization-group approach to interacting electron models defined on a lattice is presented. One-loop flow equations for the coupling constants and susceptibilities in the particle-particle…

Strongly Correlated Electrons · Physics 2024-08-21 Lucas Désoppi , Nicolas Dupuis , Claude Bourbonnais

We study the superfluid phase of the one-band attractive Hubbard model of fermions as a prototype of a strongly correlated s-wave fermion superfluid on a lattice. We show that the collective mode spectrum of this superfluid exhibits, in…

Superconductivity · Physics 2009-10-29 R. Ganesh , A. Paramekanti , A. A. Burkov

Understanding the origins of unconventional superconductivity has been a major focus of condensed matter physics for many decades. While many questions remain unanswered, experiments have found that the systems with the highest critical…

Quantum Gases · Physics 2021-06-23 Lennart Sobirey , Hauke Biss , Niclas Luick , Markus Bohlen , Henning Moritz , Thomas Lompe

We investigate the quasiparticle dynamics in the two-orbital Hubbard model on the square lattice at quarter filling by means of the cellular dynamical mean field theory. We show that the Fermi-liquid state is stabilized up to the large…

Strongly Correlated Electrons · Physics 2015-05-13 Tomoko Kita , Takuma Ohashi , Sei-ichiro Suga

A model with d-wave pairing symmetry is studied by employing a non-perturbative sum rule approach. At low temperature the magnitude of a normal state pseudogap shows strong $\vec{k}$ or angle dependence well fitted by $\cos 2\phi$ form.…

Strongly Correlated Electrons · Physics 2009-10-31 Bumsoo Kyung

We investigate the attractive Hubbard model in infinite spatial dimensions by combining dynamical mean-field theory with a strong-coupling continuous-time quantum Monte Carlo method. By calculating the superfluid order parameter and the…

Quantum Gases · Physics 2011-09-30 Akihisa Koga , Philipp Werner

One of the distinctive features of hole-doped cuprate superconductors is the onset of a `pseudogap' below a temperature $T^*$. Recent experiments suggest that there may be a connection between the existence of the pseudogap and the topology…

Strongly Correlated Electrons · Physics 2018-05-30 Wei Wu , Mathias S. Scheurer , Shubhayu Chatterjee , Subir Sachdev , Antoine Georges , Michel Ferrero

This article develops a Fermi-liquid theory for superconductors with anisotropic Fermi surfaces, Fermi-liquid interactions, and energy gaps. For d-wave superconductors, the Fermi-liquid interaction effects are found to be classifiable into…

Superconductivity · Physics 2007-05-23 M. B. Walker

We consider the 2D Hubbard model on the honeycomb lattice, as a model for a single layer graphene sheet in the presence of screened Coulomb interactions. At half filling and weak enough coupling, we compute the free energy, the ground state…

Mathematical Physics · Physics 2015-05-13 Alessandro Giuliani , Vieri Mastropietro

We analyse the coexistence of superfluid and density wave (stripe) order in a quasi-two-dimensional gas of dipolar fermions aligned by an external field. Remarkably, the anisotropic nature of the dipolar interaction allows for such a…

Quantum Gases · Physics 2015-06-10 Zhigang Wu , Jens K. Block , Georg M. Bruun

The functional renormalization group (FRG) has been used widely to investigate phase diagrams, in particular the one of the two-dimensional Hubbard model. So far, the study of one-dimensional models has not attracted as much attention. We…

Strongly Correlated Electrons · Physics 2018-06-18 Lisa Markhof , Björn Sbierski , Volker Meden , Christoph Karrasch

We observe many-body pairing in a two-dimensional gas of ultracold fermionic atoms at temperatures far above the critical temperature for superfluidity. For this, we use spatially resolved radio-frequency spectroscopy to measure pairing…

The low-temperature properties of the two-dimensional attractive Hubbard model are strongly influenced by the fermion density. Away from half-filling, there is a finite-temperature transition to a phase with s-wave pairing order. However,…

Quantum Gases · Physics 2012-02-20 E. Assmann , S. Chiesa , G. G. Batrouni , H. G. Evertz , R. T. Scalettar

I apply a two-step density-matrix renormalization group method to the anisotropic two-dimensional Hubbard model. As a prelude to this study, I compare the numerical results to the exact one for the tight-binding model. I find a ground-state…

Strongly Correlated Electrons · Physics 2009-11-13 S. Moukouri

The one-dimensional Hubbard model with different on-site interactions is investigated by renormalization group technique. In the case of a 1/4-filled band the dynamical nonequivalence of sites leads to the appearance of Umklapp processes in…

Strongly Correlated Electrons · Physics 2015-06-25 G. Jackeli , G. Japaridze

We study the finite temperature Fermi-liquid to non-Fermi-liquid crossover in the 2D Hubbard model for a range of dopings using the self-consistent ladder dual fermion method. We consider relatively high temperatures where we identify a…

Strongly Correlated Electrons · Physics 2020-02-19 Behnam Arzhang , A. E. Antipov , J. P. F. LeBlanc

We apply a renormalization group approach to the determination of the phase diagram of the t-t' Hubbard model at the Van Hove filling, as function of t'/t, for small values of U/t. The model presents ferromagnetic, antiferromagnetic and…

Strongly Correlated Electrons · Physics 2009-10-30 J. V. Alvarez , J. Gonzalez , F. Guinea , M. A. H. Vozmediano