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We compute unbiased spectral functions of the two-dimensional Hubbard model by extrapolating Green functions, obtained from determinantal quantum Monte Carlo simulations, to the thermodynamic and continuous time limits. Our results clearly…

Strongly Correlated Electrons · Physics 2012-10-09 D. Rost , E. V. Gorelik , F. Assaad , N. Blümer

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…

Using a dynamic cluster quantum Monte Carlo approximation, we study a two-dimensional Hubbard model with a small orthorhombic distortion in the nearest neighbor hopping integrals. We find a large nematic response in the low-frequency…

Superconductivity · Physics 2015-05-30 Shi-Quan Su , Thomas A. Maier

A nonperturbative approach to anisotropic superconductivity is developed based on the idea of two-particle self-consistent (TPSC) theory by Vilk and Tremblay. A sum-rule which the momentum-dependent pairing susceptibility satisfies is…

Strongly Correlated Electrons · Physics 2012-03-21 Junya Otsuki

Using the Dyson equation of motion for both the diagonal one-particle Green function, $G(\vec{k},\omega)$ and off--diagonal Green function, $F(\vec{k},\omega)$, at the level of the Hubbard--I decoupling scheme, we have found that they have…

Strongly Correlated Electrons · Physics 2016-08-15 J. J. Rodríguez--Núñez , H. Ghosh

Recent scanning tunneling microscopy measurements on cuprate superconductors have revealed remarkable spatial inhomogeneities in the single-particle energy gap. Using cellular dynamical mean-field theory, we study the zero temperature…

Strongly Correlated Electrons · Physics 2015-05-19 Satoshi Okamoto , Thomas A. Maier

The Emery model, or three-band Hubbard model, is a Hamiltonian that is thought to contain much of the physics of cuprate superconductors. This model includes two noninteracting $p$ orbitals and one interacting $d$ orbital per unit cell. Few…

Strongly Correlated Electrons · Physics 2023-08-29 C. Gauvin-Ndiaye , J. Leblanc , S. Marin , N. Martin , D. Lessnich , A. -M. S. Tremblay

A precursor effect on the Fermi surface in the two-dimensional Hubbard model at finite temperatures near the antiferromagnetic instability is studied using three different itinerant approaches: the second order perturbation theory, the…

Strongly Correlated Electrons · Physics 2009-09-25 Taiichiro Saikawa , Alvaro Ferraz

We study the spin and charge fluctuations of the extended Hubbard model (EHM) with on-site interaction U and first neighbor interaction V on the two-dimensional square lattice in the weak to intermediate coupling regime. We propose an…

Strongly Correlated Electrons · Physics 2009-11-13 B. Davoudi , A. -M. S. Tremblay

We propose a general variational fermionic many-body wavefunction that generates an effective Hamiltonian in a quadratic form, which can then be exactly solved. The theory can be constructed within the density functional theory framework,…

Strongly Correlated Electrons · Physics 2020-10-30 Xindong Wang , Xiao Chen , Liqin Ke , Hai-Ping Cheng , B. N. Harmon

A self-consistent theory for two-particle fluctuations with renormalized irreducible vertices is proposed. Using the Parquet formalism, we construct the fully antisymmetric full vertex in terms of the two-particle fluctuations in the…

Strongly Correlated Electrons · Physics 2015-05-19 Hiroaki Kusunose

The two-dimensional Hubbard model is analyzed in the framework of the two-pole expansion. It is demonstrated that several theoretical approaches, when considered at their lowest level, are all equivalent and share the property of satisfying…

Strongly Correlated Electrons · Physics 2008-02-03 A. Avella , F. Mancini , D. Villani , L. Siurakshina , V. Yu. Yushankhai

We use the dynamical vertex approximation (D$\Gamma$A) with a Moriyaesque $% \lambda$ correction for studying the impact of antiferromagnetic fluctuations on the spectral function of the Hubbard model in two and three dimensions. Our…

Strongly Correlated Electrons · Physics 2015-05-13 A. A. Katanin , A. Toschi , K. Held

We constructed the one-particle spectral functions (diagonal and off-diagonal) which reproduce BCS for weak coupling and which take into account the effect of correlations on superconductivity in the attractive Hubbard model. The diagonal…

Condensed Matter · Physics 2016-08-17 J. J. Rodríguez-Núñez , C. E. Cordeiro , A. Delfino

In this work we introduce the Dual Boson Diagrammatic Monte Carlo technique for strongly interacting electronic systems. This method combines the strength of dynamical mean-filed theory for non-perturbative description of local correlations…

Strongly Correlated Electrons · Physics 2020-11-06 M. Vandelli , V. Harkov , E. A. Stepanov , J. Gukelberger , E. Kozik , A. Rubio , A. I. Lichtenstein

Motivated by the phenomenology of the high-Tc cuprates, a two dimensional fermionic model with attractive interactions is here discussed. The exact solution to the two particle problem leads to a bound state in the $d_{x^2 - y^2}$ subspace.…

Condensed Matter · Physics 2008-02-03 Alexander Nazarenko , Adriana Moreo , Jose Riera , Elbio Dagotto

On the basis of spin and pairing fluctuation-exchange approximation, we study the superconductivity in quasi-two-dimensional Hubbard model. The integral equations for the Green's function are self-consistently solved by numerical…

Superconductivity · Physics 2009-10-23 Xin-Zhong Yan

We scrutinize the real-frequency structure of the self-energy in the superconducting state of the attractive Hubbard model within the dynamical mean-field theory. Within the strong-coupling superconducting phase which has been understood in…

Strongly Correlated Electrons · Physics 2015-11-11 Shiro Sakai , Marcello Civelli , Yusuke Nomura , Masatoshi Imada

We study the single-band Hubbard model in the presence of a large spatially uniform electric field out of equilibrium. Using the Keldysh nonequilibrium formalism, we solve the problem using perturbation theory in the Coulomb interaction U.…

Strongly Correlated Electrons · Physics 2014-01-17 Alexander V. Joura , J. K. Freericks , Alexander I. Lichtenstein

We study the two-dimensional repulsive Hubbard model by functional RG methods, using our recently proposed channel decomposition of the interaction vertex. The main technical advance of this work is that we calculate the full Matsubara…

Strongly Correlated Electrons · Physics 2012-12-21 Kay-Uwe Giering , Manfred Salmhofer