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The possibility of the superconducting transition in the two-dimensional repulsive Hubbard model is studied using the ladder approximation of the strong coupling diagram technique. The $t$-$U$ and $t$-$t'$-$t''$-$U$ models are considered in…

Strongly Correlated Electrons · Physics 2021-06-04 A. Sherman

We study the realization of dimensional reduction and the validity of the hard thermal loop expansion for lambda phi^4 theory at finite temperature, using an environmentally friendly finite-temperature renormalization group with a fiducial…

High Energy Physics - Theory · Physics 2009-11-10 C. R. Stephens , Axel Weber , Peter O. Hess , Francisco Astorga

Magnetic and superconducting instabilities in the two-dimensional t-t'-Hubbard model are discussed within a functional renormalization group approach. The fermionic four-point vertex is efficiently parametrized by means of partial…

Strongly Correlated Electrons · Physics 2013-05-29 S. Friederich , H. C. Krahl , C. Wetterich

The extended Hubbard model can host s-wave, d-wave and p-wave superconducting phases depending on the values of the on-site and nearest-neighbour interactions. Upon detailed examination of the free energy functional of the gap in this…

Superconductivity · Physics 2020-11-25 Joel Hutchinson , Frank Marsiglio

We investigate the momentum-resolved spin and charge susceptibilities, as well as the chemical potential and double occupancy in the two-dimensional Hubbard model as functions of doping, temperature and interaction strength. Through these…

Strongly Correlated Electrons · Physics 2023-01-03 Fedor Šimkovic , Riccardo Rossi , Michel Ferrero

Conserving approximations are applied to the attractive Holstein and Hubbard models (on an infinite-dimensional hypercubic lattice). All effects of nonconstant density of states and vertex corrections are taken into account in the…

Condensed Matter · Physics 2009-10-22 J. K. Freericks

We study the ground state of the two-dimensional Anderson-Hubbard model using a quantum real space renormalization group method. We obtain the phase diagram near half filling. The system is always insulating with disorder. At half filling,…

Condensed Matter · Physics 2007-05-23 Jaichul Yi Lizeng Zhang , Geoff S Canright

The phases with spontaneously broken symmetries corresponding to antiferromagnetic and d-wave superconducting order in the two-dimensional t-t'-Hubbard model are investigated by means of the functional renormalization group. The…

Strongly Correlated Electrons · Physics 2013-05-29 Simon Friederich , Hans Christian Krahl , Christof Wetterich

A practical finite temperature theory is developed for the superfluid regime of a weakly interacting Bose gas in an optical lattice with additional harmonic confinement. We derive an extended Bose-Hubbard model that is valid for shallow…

Quantum Gases · Physics 2009-10-13 D. Baillie , P. B. Blakie

In a recent paper we have suggested that the finite temperature density matrix can be computed efficiently by a combination of polynomial expansion and iterative inversion techniques. We present here significant improvements over this…

Materials Science · Physics 2010-10-19 Michele Ceriotti , Thomas D. Kühne , Michele Parrinello

Aimed at a more realistic classical description of natural quantum systems, we present a two-dimensional tensor network algorithm to study finite temperature properties of frustrated model quantum systems and real quantum materials. For…

Strongly Correlated Electrons · Physics 2024-06-12 Philipp Schmoll , Christian Balz , Bella Lake , Jens Eisert , Augustine Kshetrimayum

Almost all known high temperature superconductors are cuprates, which can be suitably modelled by the two dimensional Hubbard model. To understand the interplay of various long range properties as antiferromagnetism and superconductivity,…

Strongly Correlated Electrons · Physics 2009-09-29 Eike Bick

A theoretical analysis of the thermodynamic response functions of the 2D single-band Hubbard model is realized by means of the composite operator method. It is shown that all the features of these quantities can be explained by looking at…

Strongly Correlated Electrons · Physics 2008-02-03 F. Mancini , D. Villani , H. Matsumoto

We investigate the metal-insulator transition of the (1+1)-dimensional Hubbard model in the path-integral formalism with the tensor renormalization group method. The critical chemical potential $\mu_{\rm c}$ and the critical exponent $\nu$…

High Energy Physics - Lattice · Physics 2021-07-09 Shinichiro Akiyama , Yoshinobu Kuramashi

Within the Green's function and equations of motion formalism it is possible to exactly solve a large class of models useful for the study of strongly correlated systems. Here, we present the exact solution of the one-dimensional extended…

Strongly Correlated Electrons · Physics 2009-04-24 F. Mancini , F. P. Mancini

The variational tensor network renormalization approach to two-dimensional (2D) quantum systems at finite temperature is applied for the first time to a model suffering the notorious quantum Monte Carlo sign problem --- the orbital $e_g$…

Strongly Correlated Electrons · Physics 2017-07-26 Piotr Czarnik , Jacek Dziarmaga , Andrzej M. Oleś

Using the Density Matrix Renormalization Group technique we study the effect of spin-orbit coupling on a three-orbital Hubbard model in the $(t_{2g})^{4}$ sector and in one dimension. Fixing the Hund coupling to a robust value compatible…

Strongly Correlated Electrons · Physics 2017-10-18 Nitin Kaushal , Jacek Herbrych , Alberto Nocera , Gonzalo Alvarez , Adriana Moreo , F. A. Reboredo , Elbio Dagotto

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

This work builds on the previous introduction [1] of a coupled experimental-computational system devised to fully characterize the thermal behavior of complex 3D submicron electronic devices. The new system replaces the laser-based surface…

Materials Science · Physics 2007-09-13 Peter E. Raad , Pavel L. Komarov , M. Burzo

A simple yet paradigmatic model for the interplay of strong electronic correlations and geometric frustration is the triangular lattice Hubbard model. Recently it was proposed that moir\'e structures of transition metal dichalcogenides can…

Strongly Correlated Electrons · Physics 2022-10-05 Nico Gneist , Laura Classen , Michael M. Scherer