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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

In this work the specific heat of a two-dimensional Hubbard model, suitable to discuss high-$T_c$ superconductors (HTSC), is studied taking into account hopping to first ($t$) and second ($t_2$) nearest neighbors. Experimental results for…

Strongly Correlated Electrons · Physics 2015-06-23 E. J. Calegari , A. C. Lausmann , S. G. Magalhaes , C. M. Chaves , A. Troper

It is shown that it is possible to quantitatively explain quantum Monte Carlo results for the Green's function of the two-dimensional Hubbard model in the weak to intermediate coupling regime. The analytic approach includes vertex…

Condensed Matter · Physics 2016-08-31 Y. M. Vilk , A. -M. S. Tremblay

We present a systematic study of the response properties of two-band (multi-gap) superconductors with spin-singlet (s-wave) pairing correlations, which are assumed to be caused by both intraband (\lambda_{ii}, i=1,2) and interband…

Superconductivity · Physics 2014-06-24 Nikolaj Bittner , Dietrich Einzel

The two-particle self-consistent approach (TPSC) is a method for the one-band Hubbard model that can be both numerically efficient and reliable. However, TPSC fails to yield physical results deep in the renormalized classical regime of the…

Strongly Correlated Electrons · Physics 2024-01-17 C. Gauvin-Ndiaye , C. Lahaie , Y. M. Vilk , A. -M. S. Tremblay

The Hubbard model is the simplest model that is believed to exhibit superconductivity arising from purely repulsive interactions, and has been extensively applied to explore a variety of unconventional superconducting systems. Here we study…

We calculate the one-particle spectral functions above the superconducting transition temperature $T_{C}$, in the framework of a functional integral approach. The coupling of the electronic self-energy to pair fluctuations, which are…

Condensed Matter · Physics 2009-10-31 Massimiliano Capezzali , Hans Beck

Extensions of dynamical-mean-field-theory (DMFT) make use of quantum impurity models as non-perturbative and exactly solvable reference systems which are essential to treat the strong electronic correlations. Through the introduction of…

Strongly Correlated Electrons · Physics 2017-09-25 F. Krien , E. G. C. P. van Loon , H. Hafermann , J. Otsuki , M. I. Katsnelson , A. I. Lichtenstein

We study the 2D Hubbard model using the Composite Operator Method within a novel three-pole approximation. Motivated by the long-standing experimental puzzle of the single-particle properties of the underdoped cuprates, we include in the…

Strongly Correlated Electrons · Physics 2018-05-01 Andrea Di Ciolo , Adolfo Avella

Quasiparticle bands of the two-dimensional Hubbard model are calculated using the Roth two-pole approximation to the one particle Green's function. Excellent agreement is obtained with recent Monte Carlo calculations, including an anomalous…

Condensed Matter · Physics 2016-08-31 J. Beenen , D. M. Edwards

Cluster dynamical mean field methods are used to calculate the normal and anomalous components of the electron self energy of the two dimensional Hubbard model. From these the evolution of the superconducting gap and the momentum dependent…

Strongly Correlated Electrons · Physics 2015-02-25 Emanuel Gull , Andrew J. Millis

We propose a formalism to take account of the correction of the spatial fluctuations to the local self-energy obtained by the dynamical mean-field approximation. For this purpose, the approximate dynamical susceptibility in the framework of…

Strongly Correlated Electrons · Physics 2009-11-11 Hiroaki Kusunose

A new diagrammatic technique is developed to describe nonlocal effects (e.g., pseudogap formation) in the Hubbard-like models. In contrast to cluster approaches, this method utilizes an exact transition to the dual set of variables, and it…

Strongly Correlated Electrons · Physics 2007-05-23 A. N. Rubtsov , M. I. Katsnelson , A. I. Lichtenstein

We study the real-time dynamics of a two-dimensional Anderson--Hubbard model using nonequilibrium self-consistent perturbation theory within the second-Born approximation. When compared with exact diagonalization performed on small…

Disordered Systems and Neural Networks · Physics 2016-03-11 Yevgeny Bar Lev , David R. Reichman

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

The two-dimensional Hubbard model is studied for small values of the interaction strength (U of the order of the hopping amplitude t), using a variational ansatz well suited for this regime. The wave function, a refined Gutzwiller ansatz,…

Superconductivity · Physics 2019-07-19 Dionys Baeriswyl

A new method for estimating the parameter ensuring the fulfillment of the Mermin-Wagner theorem in the strong coupling diagram technique (SCDT) for the two-dimensional Hubbard model is suggested. With the precise parameter value, calculated…

Strongly Correlated Electrons · Physics 2021-09-17 Alexei Sherman

A conserving T-matrix approximation is applied to the two-dimensional attractive Hubbard model in the low-density regime. A set of self-consistent equations is solved in the real-frequency domain to avoid the analytic continuation…

Condensed Matter · Physics 2009-10-31 Bumsoo Kyung , E. G. Klepfish , P. E. Kornilovitch

The variational determination of the two-particle density matrix is an interesting, but not yet fully explored technique that allows to obtain ground-state properties of a quantum many-body system without reference to an $N$-particle wave…

Strongly Correlated Electrons · Physics 2012-05-22 Brecht Verstichel , Helen van Aggelen , Ward Poelmans , Dimitri Van Neck

In the hole-doped cuprates, the pseudogap refers to a suppression of the density of states at low energies, in the absence of superconducting long-range order. Numerous calculations of the Hubbard model show a pseudogap in the…

Strongly Correlated Electrons · Physics 2020-10-27 Edwin W. Huang