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We extend and apply a recent theory of the dynamical spin response of Anderson lattice systems to interpret ESR data on YbRh2Si2. Starting within a semiphenomenological Fermi liquid description at low temperatures T < Tx (a crossover…

Strongly Correlated Electrons · Physics 2015-05-14 Peter Woelfle , Elihu Abrahams

A derivation of the t-J model of a highly-correlated solid is given starting from the general many-electron Hamiltonian with account of the non-orthogonality of atomic wave functions. Asymmetry of the Hubbard subbands (i.e. of ``electron''…

Strongly Correlated Electrons · Physics 2009-10-30 V. Yu. Irkhin

We present a new model describing strongly correlated electrons on a general $d$-dimensional lattice. It differs from the Hubbard model by interactions of nearest neighbours, and it contains the $t$-$J$ model as a special case. The model…

Condensed Matter · Physics 2008-11-26 Fabian H. L. Essler , Vladimir E. Korepin , Kareljan Schoutens

The infinite-dimensional Hubbard model is studied by means of a modified perturbation theory. The approach reduces to the iterative perturbation theory for weak coupling. It is exact in the atomic limit and correctly reproduces the…

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

We demonstrate that the charge distributions in Hubbard-model representations of transition metal oxide heterojucntions can be described by a Thomas-Fermi theory in which the energy is approximated as the sum of the electrostatic energy and…

Strongly Correlated Electrons · Physics 2009-11-13 Wei-Cheng Lee , A. H. MacDonald

The Hall coefficient is related to the effective carrier density and Fermi surface topology in noninteracting and weakly interacting systems. In strongly correlated systems, the relation between the Hall coefficient and single-particle…

Strongly Correlated Electrons · Physics 2020-07-31 Wen O. Wang , Jixun K. Ding , Brian Moritz , Edwin W. Huang , Thomas P. Devereaux

Motivated by the unusual features observed in the transport properties of the ferromagnetic "bad metal" $SrRuO_{3}$, we construct a model incorporating essential features of the realistic structure of this nearly cubic material. In…

Strongly Correlated Electrons · Physics 2009-11-07 M. S. Laad , E. Müller-Hartmann

In this paper we comment on the "Local Fermi Liquid Theory", proposed by Engelbrecht and Bedell [1]. We emphasize several important properties of the limit of infinite dimensions, in particular the k-dependence of the irreducible vertex…

Strongly Correlated Electrons · Physics 2009-10-31 P. G. J. van Dongen , G. S. Uhrig , E. Mueller-Hartmann

Non-equilibrium quantum phenomena are ubiquitous in nature. Yet, theoretical predictions on the real-time dynamics of many-body quantum systems remain formidably challenging, especially for high dimensions, strong interactions or disordered…

Quantum Gases · Physics 2013-08-21 A. Kartsev , D. Karlsson , A. Privitera , C. Verdozzi

It is shown on the basis of the Fermi liquid theory that the s-wave scattering potential due to nonmagnetic impurity is strongly enhanced by the mass enhancement factor $1/z$. As a result the impurity potential with moderate strength, of…

Condensed Matter · Physics 2007-05-23 Hiroaki Ikeda , Kazumasa Miyake

I attempt to give a pedagogical overview of the progress which has occurred during the past decade in the description of one-dimensional correlated fermions. Fermi liquid theory based on a quasi-particle picture, breaks down in one…

Condensed Matter · Physics 2009-10-28 Johannes Voit

We study the energy and spatial dependence of the local density of states in a superconductor--correlated-metal--superconductor Josephson junction, where the correlated metal is a non-Fermi liquid (described by the Falicov-Kimball model).…

Superconductivity · Physics 2009-11-07 Branislav K. Nikolic , J. K. Freericks , P. Miller

A rigorous and simple perturbative proof of Luttinger's theorem is sketched for Fermi liquids in two and three dimensions. It is proved that in the finite volume, the quasi-particle density is independent of the interaction strength. The…

Statistical Mechanics · Physics 2007-05-23 A. Praz , J. Feldman , H. Knoerrer , E. Trubowitz

We study a model of strongly-correlated systems that incorporates phases such as Fermi liquids, non-Fermi liquids, and superconductivity, in addition to potential intertwined orders. The model describes Fermi surfaces of spinful electron…

Strongly Correlated Electrons · Physics 2017-11-15 Yi Zhang

We consider a chain described by a next-nearest-neighbor hopping combined with a nearest-neighbor spin flip. In two dimensions this three-body term arises from a mapping of the three-band Hubbard model for CuO$_2$ planes to a generalized…

supr-con · Physics 2009-10-28 C. D. Batista , F. Lema , A. A. Aligia

A brief account of the zero temperature magnetic response of a system of strongly correlated electrons in strong magnetic field is given in terms of its quasiparticle properties. The scenario is based on the paramagnetic phase of the…

Strongly Correlated Electrons · Physics 2009-11-13 Johannes Bauer

We calculate analytically the low temperature quasi-particle scattering rate, the conductivity, and the specific heat in weakly disordered metals close to a quantum critical point, via the use of a proper fluctuation potential $V(q,\omega)$…

Strongly Correlated Electrons · Physics 2016-02-01 George Kastrinakis

We investigate Fermi liquid states of the ultra-cold magnetic dipolar Fermi gases in the simplest two-component case including both thermodynamic instabilities and collective excitations. The magnetic dipolar interaction is invariant under…

Quantum Gases · Physics 2012-05-29 Yi Li , Congjun Wu

The charge ordering transition induced by the nearest-neighbor Coulomb repulsion, V, in the 1/4-filled extended Hubbard model is investigated using Cellular Dynamical Mean-Field Theory. We find a transition to a strongly renormalized charge…

Strongly Correlated Electrons · Physics 2009-11-13 Jaime Merino

On the basis of the Fermi liquid theory, we investigate the many-body effect on the Drude weight. In a lattice system, the Drude weight $D$ is modified by electron-electron interaction due to Umklapp processes, while it is not renormalized…

Condensed Matter · Physics 2009-10-31 Takuya Okabe