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Many strongly correlated systems exhibit strange metallic behavior in certain parameter regimes characterized by anomalous transport properties that are irreconcilable with a Fermi-liquid-like description in terms of quasiparticles. The…

Strongly Correlated Electrons · Physics 2024-10-29 Andrew A. Allocca

A strong-coupling-perturbation theory around the Atomic Limit of the Anderson model with large $U$ for a localized $f$-orbital coupled to a conduction-electron band is presented. Although an auxiliary-particle representation is {\em not}…

Condensed Matter · Physics 2009-10-28 Jan Brinckmann

The instabilities induced on a two-dimensional system of correlated electrons by the anisotropies of its Fermi line are analyzed on general grounds. Simple scaling arguments allow to predict the opening of a superconducting gap with a…

Strongly Correlated Electrons · Physics 2009-10-31 J. Gonzalez , F. Guinea , M. A. H. Vozmediano

Starting from an array of four-leg Hubbard ladders weakly doped away from half-filling and weakly coupled by inter-ladder tunneling, we derive an effective low energy model which contains a partially truncated Fermi surface and a well…

Superconductivity · Physics 2015-05-18 R. M. Konik , T. M. Rice , A. M. Tsvelik

Significant advances in numerical techniques have enabled recent breakthroughs in the study of various properties of the Hubbard model - a seemingly simple, yet complex model of correlated electrons that has been a focus of study for more…

Strongly Correlated Electrons · Physics 2021-09-14 E. W. Huang , W. O. Wang , J. K. Ding , T. Liu , F. Liu , X. -X. Huang , B. Moritz , T. P. Devereaux

A microscopic theory of superconductivity is formulated within an effective $p$-$d$ Hubbard model for a CuO2 plane. By applying the Mori-type projection technique, the Dyson equation is derived for the Green functions in terms of Hubbard…

Strongly Correlated Electrons · Physics 2007-05-23 N. M. Plakida

We apply the bosonization technique to derive the phase diagram of a balanced unit density two-component dipolar Fermi gas in a one dimensional lattice geometry. The considered interaction processes are of the usual contact and dipolar…

Strongly Correlated Electrons · Physics 2017-12-13 Serena Fazzini , Luca Barbiero , Arianna Montorsi

The ground state of the two-dimensional (2D) Hubbard model is investigated by adopting improved wave functions that take into account intersite electron correlation beyond the Gutzwiller ansatz. The ground-state energy is lowered…

Strongly Correlated Electrons · Physics 2016-11-09 Takashi Yanagisawa

A simple and commonly employed approximate technique with which one can examine spatially disordered systems when strong electronic correlations are present is based on the use of real-space unrestricted self-consistent Hartree-Fock wave…

Strongly Correlated Electrons · Physics 2009-11-13 X. Chen , A. Farhoodfar , T. McIntosh , R. J. Gooding , P. W. Leung

We present studies of the atomic limit of the extended Hubbard model with pair hopping for arbitrary electron density and arbitrary chemical potential. The Hamiltonian consists of (i) the effective on-site interaction $U$ and (ii) the…

Strongly Correlated Electrons · Physics 2014-11-04 Konrad Kapcia

In this work, a two-dimensional one-band Hubbard model is investigated within a two-pole approximation. The model presents a non-local attractive potential $U (U<0)$ that allows the study of d-wave superconductivity and also includes…

Strongly Correlated Electrons · Physics 2011-01-12 E. J. Calegari , S. G. Magalhaes , C. M. Chaves , A. Troper

The two-dimensional Hubbard model is studied within the Composite Operator Method (COM) with the residual self-energy computed in the Self-Consistent Born Approximation (SCBA). COM describes interacting electrons in terms of the new…

Strongly Correlated Electrons · Physics 2007-06-20 Adolfo Avella , Ferdinando Mancini

We study the `asymmetric' Hubbard model, where hoppings of electrons depend on their spin. For strong interactions and sufficiently asymmetric hoppings, it is proved that the ground state displays phase separation away from half-filling.…

Mathematical Physics · Physics 2007-05-23 Daniel Ueltschi

Recent experiments show that periodic modulations of cold atoms in optical lattices may be used to engineer and explore interesting models. We show that double modulation, combining lattice shaking and modulated interactions allows for the…

Quantum Gases · Physics 2014-11-05 Sebastian Greschner , Luis Santos , Dario Poletti

Competing inhomogeneous orders are a central feature of correlated electron materials including the high-temperature superconductors. The two- dimensional Hubbard model serves as the canonical microscopic physical model for such systems.…

We obtain a complete and exact in the weak-coupling limit ($U \rightarrow 0$) ground state phase diagram of the repulsive fermionic Hubbard model on the square lattice for filling factors $0 < n < 2$ and next-nearest-neighbour hopping…

Strongly Correlated Electrons · Physics 2016-08-10 Fedor Simkovic , Xuan-Wen Liu , Youjin Deng , Evgeny Kozik

The Kondo divergences owing to interaction of current carriers with local moments in highly correlated electron systems are considered within the Hubbard and s-d exchange models with infinitely strong on-site interaction, the many-electron…

Strongly Correlated Electrons · Physics 2015-06-25 V. Yu. Irkhin , A. V. Zarubin

The competition between d-wave superconductivity (SC) and antiferromagnetism (AF) in the high-Tc cuprates is investigated by studying the hole- and electron-doped two-dimensional Hubbard model with a recently proposed variational…

Superconductivity · Physics 2007-05-23 M. Aichhorn , E. Arrigoni , M. Potthoff , W. Hanke

We compare the pole structure of the electronic Green's function obtained by Cluster Dynamical Mean Field Theory to the results from the fractionalized Pair Density Wave idea. In the superconducting phase, we can consider the system in a…

Strongly Correlated Electrons · Physics 2021-06-09 Maxence Grandadam , Catherine Pépin

A general scheme to calculate dynamical susceptibilities of strongly correlated electron systems within the dynamical mean field theory is developed. Approach is based on an expansion over electron hopping around the atomic limit (within…

Strongly Correlated Electrons · Physics 2015-06-25 A. M. Shvaika