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We investigate the Hubbard model on a two-dimensional square lattice by the perturbation expansion to the fourth order in the on-site Coulomb repulsion U. Numerically calculating all diagrams up to the fourth order in self-energy, we…

Superconductivity · Physics 2008-10-13 H. Ikeda , S. Shinkai , K. Yamada

The second-order reduced density matrix method (the RDM method) has performed well in determining energies and properties of atomic and molecular systems, achieving coupled-cluster singles and doubles with perturbative triples (CC SD(T))…

Strongly Correlated Electrons · Physics 2012-07-23 James S. M. Anderson , Maho Nakata , Ryo Igarashi , Katsuki Fujisawa , Makoto Yamashita

The charge dynamical response function of the Hubbard model is investigated on the square lattice in the thermodynamical limit. The obtained charge excitation spectra consist of a continuum, a gapless collective mode with anisotropic…

Strongly Correlated Electrons · Physics 2017-04-21 Vu Hung Dao , Raymond Frésard

Detailed analysis of the magnetic properties of the Hubbard model within dynamical mean-field theory (DMFT) is presented. Using a RPA-like decoupling of two-particle propagators we derive a universal form for susceptibilities, which…

Strongly Correlated Electrons · Physics 2012-01-06 Sebastian Schmitt , Norbert Grewe , Torben Jabben

Even though the Hubbard model is one of the most fundamental models of highly correlated electrons, analytical and numerical data describing its thermodynamics at nonzero magnetization are relatively scarce. We present a detailed…

Statistical Mechanics · Physics 2020-02-03 Ovidiu I. Patu , Andreas Klumper , Angela Foerster

The ionic Hubbard model on a cubic lattice is investigated using analytical approximations and Wilson's renormalization group for the charge excitation spectrum. Near the Mott insulating regime, where the Hubbard repulsion starts to…

Strongly Correlated Electrons · Physics 2009-11-11 Torben Jabben , Norbert Grewe , Frithjof Anders

We investigate the localization of low-energy single quasi-particle states in the 7/9-hybrid nanoribbon system in the presence of strong interactions and within a finite volume. We consider two scenarios, the first being the Hubbard model…

Strongly Correlated Electrons · Physics 2022-12-07 Thomas Luu , Ulf-G. Meißner , Lado Razmadze

We propose a nonlocal theory of single-particle excitations. It is based on an off-diagonal effective medium and the projection operator method for treating the retarded Green function. The theory determines the nonlocal effective medium…

Strongly Correlated Electrons · Physics 2015-05-14 Y. Kakehashi , T. Nakamura , P. Fulde

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 Hubbard model with an additional bond-charge interaction $X$ is solved exactly in one dimension for the case $t=X$ where $t$ is the hopping amplitude. In this case the number of doubly occupied sites is conserved. In the sector with no…

Condensed Matter · Physics 2009-10-22 Andreas Schadschneider

We present a comparative study of the Hubbard and $t-J$ models far away from half-filling. We show that, at such fillings the $t-J$ Hamiltonian can be seen as an effective model of the repulsive Hubbard Hamiltonian over the whole range of…

Strongly Correlated Electrons · Physics 2009-11-07 Marie-Bernadette Lepetit , Marie-Liesse Doublet , Philippe Maurel

We investigate two-site electronic correlations within generalized Hubbard model, which incorporates the conventional Hubbard model (parameters: $t$ (hopping between nearest neighbours), $U$ (Coulomb repulsion (attraction)) supplemented by…

Strongly Correlated Electrons · Physics 2007-11-06 M. Matlak , B. Grabiec , S. Krawiec

Using renormalization group and exact diagonalization of small clusters we investigate the ground state phase diagram of a two-dimensional extended Hubbard model with nearest-neighbor exchange interaction J, in addition to the local Coulomb…

Superconductivity · Physics 2009-11-10 Liliana Arrachea , Drazen Zanchi

We use non-equilibrium dynamical mean-field theory with iterative perturbation theory as an impurity solver to study the recovery of $SU(2)$ symmetry in real-time following a hopping integral parameter quench from a mass-imbalanced to a…

Strongly Correlated Electrons · Physics 2018-02-28 Liang Du , Gregory A. Fiete

We analyze superconducting instabilities in 3D and 2D extended Hubbard model with Coulomb repulsion between electrons on neighboring sites in the limit of low electron density ($n_{el} \rightarrow 0$) on simple cubic (square) lattice. We…

Superconductivity · Physics 2015-05-28 M. Yu. Kagan , D. V. Efremov , M. S. Marienko , V. V. Val'kov

We investigate the charge density wave phase in the strongly correlated Hubbard model without any other broken symmetry phase. Starting from the atomic Hamiltonian with no hopping, we generate quasiparticle operators corresponding to holons…

Strongly Correlated Electrons · Physics 2025-04-17 Anurag Banerjee , Emile Pangburn , Chiranjit Mahato , Amit Ghosal , Catherine Pépin

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 consider the 2D Hubbard model in the strong-coupling case (U>>W) and at low electron density (nd^2<<1). We find an antibound state as a pole in the two-particle T-matrix. The contribution of this pole in the self-energy reproduces a…

Strongly Correlated Electrons · Physics 2015-05-28 M. Yu. Kagan , V. V. Val'kov , P. Woelfle

In the paper the thermodynamics of a cubic cluster with 8 sites at quarter filling is characterized by means of exact diagonalization technique. Particular emphasis is put on the behaviour of such response functions as specific heat and…

Statistical Mechanics · Physics 2017-05-16 K. Szałowski , T. Balcerzak , M. Jaščur , A. Bobák , M. Žukovič

The zero temperature Mott-Hubbard transition as a function of the Coulomb repulsion U is investigated in the limit of large dimensions. The behavior of the density of states near the transition at U=U_c is analyzed in all orders of the…

Strongly Correlated Electrons · Physics 2009-10-31 Stefan Kehrein