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We study the one- and two- dimensional extended Hubbard model by means of the Composite Operator Method within the 2-pole approximation. The fermionic propagator is computed fully self-consistently as a function of temperature, filling and…

Strongly Correlated Electrons · Physics 2007-05-23 Adolfo Avella , Ferdinando Mancini

The Hubbard model, which augments independent-electron band theory with a single parameter to describe electron-electron correlations, is widely regarded to be the `standard model' of condensed matter physics. The model has been remarkably…

Strongly Correlated Electrons · Physics 2016-02-17 S. M. Griffin , P. Staar , T. C. Schulthess , M. Troyer , N. A. Spaldin

The Hubbard model on a semi-infinite three-dimensional lattice is considered to investigate electron-correlation effects at single-crystal surfaces. The standard second-order perturbation theory in the interaction U is used to calculate the…

Strongly Correlated Electrons · Physics 2009-10-30 M. Potthoff , W. Nolting

A self-consistent spectral density approach (SDA) is applied to the Hubbard model to investigate the possibility of spontaneous ferro- and antiferromagnetism. Starting point is a two-pole ansatz for the single-electron spectral density, the…

Strongly Correlated Electrons · Physics 2009-10-30 T. Herrmann , W. Nolting

The 2D half-filled Hubbard model is studied by a nonperturbative analytic theory of correlator projection. The original dynamical mean-field approximation (DMFA) is reproduced at the first-order projection and then improved by systematic…

Strongly Correlated Electrons · Physics 2009-11-07 Shigeki Onoda , Masatoshi Imada

A system of equations resulting from an approximation of the equation of motion of Green functions for correlated electron systems is usually solved using Matsubara technique. In this work we propose an alternative method which works…

Strongly Correlated Electrons · Physics 2007-05-23 M. Letz , F. Marsiglio

We develop a systematic self-consistent perturbative expansion for the self energy of Hubbard-like models. The interaction lines in the Feynman diagrams are dynamically screened by the charge fluctuations in the system. Although the formal…

Strongly Correlated Electrons · Physics 2007-05-23 G. Esirgen , H. -B. Schuttler , C. Grober , H. G. Evertz

Many-body functionals of the Green's function can provide fundamental advances in electronic-structure calculations, due to their ability to accurately predict both spectral and thermodynamic properties, such as angle-resolved photoemission…

Strongly Correlated Electrons · Physics 2025-08-26 Tommaso Chiarotti , Matteo Quinzi , Andrea Pintus , Mario Caserta , Andrea Ferretti , Nicola Marzari

Momentum dependent local-ansatz wavefunction approach (MLA) to the correlated electron systems in solids has been further developed to solve best a self-consistent equation for variational parameters at non half-filling. With use of the…

Strongly Correlated Electrons · Physics 2015-05-30 M. Atiqur R. Patoary , Yoshiro Kakehashi

In the limit of infinite spatial dimensions a thermodynamically consistent theory of the strongly correlated electron systems, which is valid for arbitrary value of the Coulombic interaction ($U<\infty$), is built. For the Hubbard model the…

Strongly Correlated Electrons · Physics 2007-05-23 A. M. Shvaika

In a Fermi system near or at half-filling, a specific superconducting pairing channel, if not explicitly included in the Hamiltonian, can be boosted by suppressing a competing pairing channel; this is exemplified by the enhancement of…

Strongly Correlated Electrons · Physics 2026-01-14 Shuyi Li , Cheng Peng , Yue Yu , B. Sriram Shastry , Chunjing Jia

This paper extends Yosida's mean ergodic theorem in order to compute projections onto non-unitary eigenspaces for spectral operators of scalar-type on locally convex linear topological spaces. For spectral operators with dominating point…

Spectral Theory · Mathematics 2014-04-24 Ryan Mohr , Igor Mezić

A plasmon is a collective excitation of electrons due to the Coulomb interaction. Both plasmons and single-particle excitations (SPEs) are eigenstates of bulk metallic systems and they are orthogonal to each other. However, in…

Mesoscale and Nanoscale Physics · Physics 2022-05-03 Tomohiro Yokoyama , Masayuki Iio , Takashi Kinoshita , Takeshi Inaoka , Hajime Ishihara

We formulate the theory of an extremely correlated electron liquid, generalizing the standard Fermi liquid. This quantum liquid has specific signatures in various physical properties, such as the Fermi surface volume and the narrowing of…

Strongly Correlated Electrons · Physics 2010-01-22 B Sriram Shastry

We derive an exact equation of motion for the reduced density matrices of individual subsystems of quantum many-body systems of any lattice dimension and arbitrary system size. Our projection operator based theory yields a highly efficient…

Quantum Physics · Physics 2014-06-13 Peter Degenfeld-Schonburg , Michael J. Hartmann

Coupled cluster theory is the method of choice for weakly correlated systems. But in the strongly correlated regime, it faces a symmetry dilemma, where it either completely fails to describe the system, or has to artificially break certain…

Chemical Physics · Physics 2020-05-14 Yiheng Qiu , Thomas M. Henderson , Jinmo Zhao , Gustavo E. Scuseria

A perturbation theory scheme in terms of electron hopping, which is based on the Wick theorem for Hubbard operators, is developed. Diagrammatic series contain single-site vertices connected by hopping lines and it is shown that for each…

Strongly Correlated Electrons · Physics 2009-10-31 A. M. Shvaika

We study the interplay between electronic interactions and quasiperiodicity in a one-dimensional narrow-band system, focusing on ground-state and low-energy excitation properties. Using band projection as low-energy effective approach, we…

Strongly Correlated Electrons · Physics 2026-03-17 Flavio Riche , Raul Liquito , Bruno Amorim , Eduardo V. Castro , Pedro Ribeiro , Miguel Gonçalves

This work provides a unified theoretical treatment of the single and correlated double-electron emission from a general electronic system. Using Feshbach projection method, the states of interest are selected by the projection operator; the…

Strongly Correlated Electrons · Physics 2015-04-22 Y. Pavlyukh , M. Schüler , J. Berakdar

Although effective for two dimensional (2D) systems, some approximations may fail in describing the properties of one-dimensional (1D) models, which belong to a different universality class. In this paper, we analyze the adequacy of the…

Strongly Correlated Electrons · Physics 2007-05-23 Adolfo Avella , Ferdinando Mancini , Maria del Mar Sanchez-Lopez