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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 two-dimensional attractive Hubbard model is studied in the weak to intermediate coupling regime by employing a non-perturbative approach. It is first shown that this approach is in quantitative agreement with Monte Carlo calculations…

Strongly Correlated Electrons · Physics 2009-10-31 B. Kyung , S. Allen , A. -M. S. Tremblay

The Hubbard model represents the fundamental model for interacting quantum systems and electronic correlations. Using the two-dimensional half-filled Hubbard model at weak coupling as a testing ground, we perform a comparative study of a…

We calculate the one-electron Green's function of the 2D attractive Hubbard model by coupling the electrons to pair fluctuations. The latter are approximated by homogeneous amplitude fluctuations and phase correlations corresponding to the…

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

A new approach to the single-band Hubbard model is described in the general context of many-body theories. It is based on enforcing conservation laws, the Pauli principle and a number of crucial sum-rules. More specifically, spin and charge…

Strongly Correlated Electrons · Physics 2009-10-30 Y. M. Vilk , A. -M. S. Tremblay

In this thesis, I present a non-perturbative approach to the single-band attractive Hubard model which is an extension of previous work by Vilk and Tremblay on the repulsive model. Exact results are derived in the general context of…

Strongly Correlated Electrons · Physics 2007-05-23 Steve Allen

We study the pseudogaps in the spectra of the half-filled 2D Hubbard model using both finite-size and dynamical cluster approximation (DCA) quantum Monte Carlo calculations. A charge pseudogap, accompanied by non-Fermi liquid behavior in…

Strongly Correlated Electrons · Physics 2007-05-23 C. Huscroft , M. Jarrell , Th. Maier , S. Moukouri , A. N. Tahvildarzadeh

It is shown that in the two-dimensional attractive Hubbard model, the mean-field phase transition is replaced by a renormalized classical regime of fluctuations where a pseudogap opens up in the single-particle spectral weight. It is argued…

Strongly Correlated Electrons · Physics 2009-10-30 Y. M. Vilk , S. Allen , H. Touchette , S. Moukouri , L. Chen , A. -M. S. Tremblay

We have studied the pseudogap formation in the single-particle spectra of the half-filling two-dimensional Hubbard model. Using a Green's function with the one-loop self-energy correction of the spin and charge fluctuations, we have…

Strongly Correlated Electrons · Physics 2007-05-23 T. Saikawa , A. Ferraz

We demonstrate how to identify which physical processes dominate the low-energy spectral functions of correlated electron systems. We obtain an unambiguous classification through an analysis of the equation of motion for the electron…

Strongly Correlated Electrons · Physics 2015-06-17 O. Gunnarsson , T. Schäfer , J. P. F. LeBlanc , E. Gull , J. Merino , G. Sangiovanni , G. Rohringer , A. Toschi

We theoretically investigate the electric transport in the pseudogap state of High-Tc cuprates. Starting from the repulsive Hubbard model, we perform the microscopic calculation to describe the pseudogap phenomena which are induced by the…

Strongly Correlated Electrons · Physics 2016-08-31 Youichi Yanase

Using the recently introduced multiloop extension of the functional renormalization group, we compute the frequency- and momentum-dependent self-energy of the two-dimensional Hubbard model at half filling and weak coupling. We show that, in…

Strongly Correlated Electrons · Physics 2020-07-16 Cornelia Hille , Daniel Rohe , Carsten Honerkamp , Sabine Andergassen

The pseudogap phenomena in High-$T_{{\rm c}}$ cuprates are investigated on the basis of the Hubbard model which includes only the on-site repulsive interaction $U$. We consider the pairing scenario for the pseudogap. The pseudogap arises…

Strongly Correlated Electrons · Physics 2016-08-31 Youichi Yanase , Kosaku Yamada

We present reliable many-body calculations for the t-t'-t''-U Hubbard model that explain in detail the results of recent angle-resolved photoemission experiments on electron-doped high-temperature superconductors. The origin of the…

Strongly Correlated Electrons · Physics 2009-11-10 B. Kyung , V. Hankevych , A. -M. Dare , A. -M. S. Tremblay

Long-wavelength spin fluctuations prohibit antiferromagnetic long-range order at finite temperature in two dimensions. Nevertheless, the correlation length starts to grow rapidly at a crossover temperature, leading to critical slowing down…

Strongly Correlated Electrons · Physics 2024-09-30 Y. M. Vilk , Camille Lahaie , A. -M. S. Tremblay

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

The attractive Fermi-Hubbard model stands out as a simple model for studying the pairing and superconductivity of fermions on a lattice. In this article, we apply several many-body theories in the three-dimensional attractive Hubbard model.…

Strongly Correlated Electrons · Physics 2025-02-18 Junnian Xiong , Hui Li , Yingze Su , Dingping Li

Strongly correlated electrons systems may exhibit a variety of interesting phenomena, for instance, superconductivity and pseudogap, as is the case of cuprates and pnictides. In strongly correlated electron systems, it is considered…

Strongly Correlated Electrons · Physics 2024-06-21 L. F. Sampaio , E. J. Calegari , J. J. Rodríguez-Núñez , A. Bandyopadhyay , R. L. S. Farias

The pseudogap phenomena induced by the SC fluctuation are investigated in details. We perform a calculation beyond the 1-loop approximation. The SC fluctuation is microscopically derived on the basis of the repulsive Hubbard model. The…

Superconductivity · Physics 2009-11-10 Youichi Yanase

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
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