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We study the electronic instabilities in a 2D Hubbard model where one of the dimensions has a finite width, so that it can be considered as a large array of coupled chains. The finite transverse size of the system gives rise to a discrete…

Strongly Correlated Electrons · Physics 2009-11-13 E. Perfetto , J. Gonzalez

The influence of long-range spin and charge fluctuations on spectra of the two-dimensional fermionic Hubbard model is considered using the strong coupling diagram technique. Infinite sequences of diagrams containing ladder inserts, which…

Strongly Correlated Electrons · Physics 2018-10-30 A. Sherman

We propose new approach for treatment of local and non-local interactions in correlated electronic systems, which uses self-energy and the two-particle irreducible vertices, obtained from (extended) dynamical mean-field theory, as an input…

Strongly Correlated Electrons · Physics 2019-03-12 A. A. Katanin

We compute the spin susceptibility of the two-dimensional Hubbard model away from half-filling, and analyze the impact of frequency dependent vertex corrections as obtained from the dynamical mean field theory (DMFT). We find that the local…

Strongly Correlated Electrons · Physics 2018-06-13 Demetrio Vilardi , Ciro Taranto , Walter Metzner

The attractive Fermi-Hubbard model is the simplest theoretical model for studying pairing and superconductivity of fermions on a lattice. Although its s-wave pairing symmetry excludes it as a microscopic model for high-temperature…

We derive functional flow equations for the two-particle vertex and the self-energy in interacting fermion systems which capture the full frequency dependence of both quantities. The equations are applied to the hole-doped two-dimensional…

Strongly Correlated Electrons · Physics 2018-02-07 Demetrio Vilardi , Ciro Taranto , Walter Metzner

We apply the boson exchange parquet solver for dual fermions to the half-filled Hubbard model on a square lattice at small interaction. Our results establish that, in this regime, nonlocal vertex corrections play an important role in the…

Strongly Correlated Electrons · Physics 2021-01-04 Friedrich Krien , Alexander I. Lichtenstein , Georg Rohringer

For the fermionic Hubbard model at strong coupling, we demonstrate that directional transport of localized doublons (repulsively bound pairs of two particles occupying the same site of the crystal lattice) can be achieved by applying an…

Strongly Correlated Electrons · Physics 2014-09-10 K. Balzer , M. Eckstein

We observe an enhanced visibility of charge-density-wave correlations in a cold-atom realization of the attractive Hubbard model following a rapid boost of the interaction strength. The interaction boost associates nonlocal pairs into…

Quantum Gases · Physics 2026-05-18 Botond Oreg , Carter Turnbaugh , Jens Hertkorn , Ningyuan Jia , Martin Zwierlein

We introduce regular series expansion for weakly- and moderately-correlated fermionic systems, based on Fluctuating Local Field approach. The method relies on the explicit account of leading fluctuating mode(s) and is therefore suitable for…

Strongly Correlated Electrons · Physics 2024-12-25 Ya. S. Lyakhova , S. D. Semenov , A. I. Lichtenstein , A. N. Rubtsov

We explore the effect of inhomogeneity on electronic properties of the two-dimensional Hubbard model on a square lattice using dynamical mean-field theory (DMFT). The inhomogeneity is introduced via modulated lattice hopping such that in…

Strongly Correlated Electrons · Physics 2019-09-27 Pramod Kumar , Tuomas I. Vanhala , Päivi Törmä

We review a representation of Hubbard-like models that is based on auxiliary pseudospin variables. These pseudospins refer to the local charge modulo two in the original model and display a local Z_2 gauge freedom. We discuss the associated…

Strongly Correlated Electrons · Physics 2010-04-23 A. Rüegg , S. D. Huber , M. Sigrist

We report large scale determinant Quantum Monte Carlo calculations of the effective bandwidth, momentum distribution, and magnetic correlations of the square lattice fermion Hubbard Hamiltonian at half-filling. The sharp Fermi surface of…

Strongly Correlated Electrons · Physics 2010-04-07 C. N. Varney , C. -R. Lee , Z. J. Bai , S. Chiesa , M. Jarrell , R. T. Scalettar

We describe fluctuating two-dimensional metallic antiferromagnets by transforming to a rotating reference frame in which the electron spin polarization is measured by its projections along the local antiferromagnetic order. This leads to a…

Strongly Correlated Electrons · Physics 2010-03-22 Yang Qi , Subir Sachdev

We study the interacting Fermi-Hubbard model in two spatial dimensions with synthetic gauge coupling of the spin orbit Rashba type, at half-filling. Using real space mean field theory, we numerically determine the phase as a function of the…

Strongly Correlated Electrons · Physics 2014-01-08 Jiří Minář , Benoît Grémaud

The applicability of the Hartree-Fock and random phase approximations to models of strongly correlated electrons is discussed. The 2D Hubbard model is analyzed. An antiferromagnetic phase (at half filling) and Fermi liquid behavior (at low…

Condensed Matter · Physics 2007-05-23 F. Guinea , E. Louis , J. A. Verges

Many strongly correlated systems exhibit strange metallic behavior in certain parameter regimes characterized by anomalous transport properties that are irreconcilable with a Fermi-liquid-like description in terms of quasiparticles. The…

Strongly Correlated Electrons · Physics 2024-10-29 Andrew A. Allocca

We study the possibility and stability of band-ferromagnetism in the single-band Hubbard model for the simple cubic (SC) lattice. A non-local self-energy is derived within a modified perturbation theory. Results for the spectral density and…

Strongly Correlated Electrons · Physics 2015-06-04 Sören Henning , Wolfgang Nolting

The conductivity of the two-dimensional Hubbard model is particularly relevant for high-temperature superconductors. Vertex corrections are expected to be important because of strongly momentum dependent self-energies. We use the…

Strongly Correlated Electrons · Physics 2015-03-17 Dominic Bergeron , Vasyl Hankevych , Bumsoo Kyung , A. -M. S. Tremblay

The dual boson approach [Ann. Phys. 327, 1320 (2012)] provides a means to construct a diagrammatic expansion around the extended dynamical mean-field theory (EDMFT). In this paper, we present the numerical implementation of the approach and…