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The Hubbard model is the simplest model of interacting fermions on a lattice and is of similar importance to correlated electron physics as the Ising model is to statistical mechanics or the fruit fly to biomedical science. Despite its…

Strongly Correlated Electrons · Physics 2022-07-18 Mingpu Qin , Thomas Schäfer , Sabine Andergassen , Philippe Corboz , Emanuel Gull

A new slave-spin representation of fermion operators has recently been proposed for the half-filled Hubbard model. We show that with the addition of a gauge variable, the formalism can be extended to finite doping. The resulting spin…

Strongly Correlated Electrons · Physics 2011-01-04 S. R. Hassan , L. de' Medici

The electronic correlations on a C$_{20}$ molecule, as described by an extended Hubbard Hamiltonian with a nearest neighbor Coulomb interaction of strength $V$, are studied using quantum Monte Carlo and exact diagonalization methods. For…

Strongly Correlated Electrons · Physics 2009-11-13 Fei Lin , Erik S. Sørensen , Catherine Kallin , A. John Berlinsky

The role of the multiorbital effects on the emergence of frustrated electronic orders on the triangular lattice at half filling is investigated through an extended spinless fermion Hubbard model. By using two complementary approaches,…

Strongly Correlated Electrons · Physics 2015-11-09 C. Février , S. Fratini , A. Ralko

An operator form of the 3N bound state is proposed. It consists of eight operators formed out of scalar products in relative momentum and spin vectors, which are applied on a pure 3N spin 1/2 state. Each of the operators is associated with…

Nuclear Theory · Physics 2012-04-23 I. Fachruddin , W. Gloeckle , Ch. Elster , A. Nogga

A generalized version of the fidelity susceptibility of single-band and multi-orbital Hubbard models is systematically studied using single-site dynamical mean-field theory in combination with a hybridization expansion continuous-time…

Strongly Correlated Electrons · Physics 2016-12-08 Li Huang , Yilin Wang , Lei Wang , Philipp Werner

A consistent microscopic theory of superconductivity for strongly correlated electronic systems is presented. The Dyson equation for the normal and anomalous Green functions for the projected (Hubbard) electronic operators is derived. To…

Strongly Correlated Electrons · Physics 2021-01-19 N. M. Plakida

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

The last decade has seen a large increase in the number of electronic-structure calculations that involve adding a Hubbard term to the local density approximation band-structure Hamiltonian. The Hubbard term is then solved either at the…

Strongly Correlated Electrons · Physics 2009-08-25 R. C. Albers , N. E. Christensen , A. Svane

The quantum mechanical position operators, and their products, are not well-defined in systems obeying periodic boundary conditions. Here we extend the work of Resta who developed a formalism to calculate the electronic polarization as an…

Strongly Correlated Electrons · Physics 2019-12-25 William A. Wheeler , Lucas K. Wagner , Taylor L. Hughes

A powerful new impurity solver is shown to permit a systematic study of the doping driven Mott transition in a one-band Hubbard model within the framework of single-site dynamical mean field theory. At small dopings and large interaction…

Strongly Correlated Electrons · Physics 2013-05-29 Philipp Werner , Andrew J. Millis

We explore the two-dimensional extended Hubbard model on the triangular lattice in the high doping regime. On-site and nearest-neighbour repulsive interactions are treated in a non-perturbative way by means of Extended Dynamical Mean Field…

Strongly Correlated Electrons · Physics 2017-09-26 Sophie Chauvin , Thomas Ayral , Lucia Reining , Silke Biermann

We show that the one-dimensional extended Hubbard model has saturated ferromagnetic ground states with the spin-triplet electron pair condensation in a certain range of parameters. The ground state wave functions with fixed electron numbers…

Strongly Correlated Electrons · Physics 2016-10-12 Akinori Tanaka

Two-dimensional orbital compass model is studied as an interacting itinerant electron model. A Hubbard-type tight-binding model, from which the orbital compass model is derived in the strong coupling limit, is identified. This model is…

Strongly Correlated Electrons · Physics 2015-05-30 J. Nasu , S. Ishihara

To date, the Hubbard model and its strong coupling limit, the t-J model, serve as the canonical model for strongly correlated electron systems in solids. Approximating the Coulomb interaction by only the on-site term (Hubbard U-term),…

Superconductivity · Physics 2017-04-28 Tao Sun

A microscopic theory of superconductivity in the extended Hubbard model which takes into account the intersite Coulomb repulsion and electron-phonon interaction is developed in the limit of strong correlations. The Dyson equation for normal…

Strongly Correlated Electrons · Physics 2013-04-01 Nikolay M. Plakida , Viktor S. Oudovenko

A theory is presented for a nonequilibrium phase transition in the two-dimensional Hubbard model coupled to electrodes. Nonequilibrium magnetic and superconducting phase diagram is determined by the Keldysh method, where the electron…

Strongly Correlated Electrons · Physics 2011-08-30 Takashi Oka , Hideo Aoki

We investigate the properties of the frustrated underdoped Hubbard model on the square lattice using two complementary approaches, the dynamical cluster extension of dynamical mean field theory, and variational Monte Carlo simulations of…

Strongly Correlated Electrons · Physics 2013-05-30 Luca F. Tocchio , Hunpyo Lee , Harald O. Jeschke , Roser Valentí , Claudius Gros

Based on the non-skeleton diagrammatic expansion satisfying the compressibility and spin-susceptibility sum rules, we investigate static charge and spin responses in a two-dimensional extended Hubbard model with the nearest-neighbor Coulomb…

Strongly Correlated Electrons · Physics 2022-09-07 Kazuyoshi Yoshimi , Takeo Kato , Hideaki Maebashi

A self-consistent spin-fluctuation theory is developed to obtain T_N vs. U for the half-filled Hubbard antiferromagnet in the whole U/t range. Good agreement is obtained in the strong coupling limit with the high-temperature…

Strongly Correlated Electrons · Physics 2007-05-23 Avinash Singh