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We calculate the single-particle excitation spectrum and the Landau Fermi liquid parameters for the archetypal model of solids, the three-dimensional uniform electron gas, with the numerically exact variational diagrammatic Monte Carlo…

Strongly Correlated Electrons · Physics 2021-06-08 Kristjan Haule , Kun Chen

The one-electron density of states for the half-filled Hubbard model on a triangular lattice is studied as a function of both temperature and Hubbard U using Quantum Monte Carlo. We find three regimes: (1) a strong-coupling Mott-Hubbard…

Strongly Correlated Electrons · Physics 2007-05-23 M. C. Refolio , J. M. Lopez Sancho , J. Rubio

A formalism based on the fermionic functional-renormalization-group approach to interacting electron models defined on a lattice is presented. One-loop flow equations for the coupling constants and susceptibilities in the particle-particle…

Strongly Correlated Electrons · Physics 2024-08-21 Lucas Désoppi , Nicolas Dupuis , Claude Bourbonnais

We consider a strongly repulsive two-component Fermi gas in a one-dimensional (1D) optical lattice described in terms of a Hubbard Hamiltonian. We analyze the response of the system to a periodic modulation of the hopping amplitude in…

Quantum Gases · Physics 2013-05-29 F. Massel , M. J. Leskinen , P. Torma

We present an exact diagonalization study of the frequency and wave vector dependent conductivity $\sigma(q,\omega)$ in small clusters of $2D$ $t$$-$$J$ model. Unlike the related dynamical density correlation function, $\sigma(q=0,\omega)$…

Condensed Matter · Physics 2016-08-31 R. Eder , P. Wrobel , Y. Ohta

Dynamic properties of the three-dimensional single-band Hubbard model are studied using Quantum Monte Carlo combined with the maximum entropy technique. At half-filling, there is a clear gap in the density of states and well-defined…

Condensed Matter · Physics 2009-10-28 M. Ulmke , R. T. Scalettar , A. Nazarenko , E. Dagotto

We present a Green's function method for the evaluation of the particle density profile and of the higher moments of the one-body density matrix in a mesoscopic system of N Fermi particles moving independently in a linear potential. The…

Statistical Mechanics · Physics 2009-10-31 Anna Minguzzi , Patrizia Vignolo , M. P. Tosi

We investigate the low energy properties of a correlated metal in the proximity of a Mott insulator within the Hubbard model in two dimensions. We introduce a new version of the Cellular Dynamical Mean Field Theory using cumulants as the…

Strongly Correlated Electrons · Physics 2009-11-11 Tudor D. Stanescu , Gabriel Kotliar

We describe procedures to obtain the electronic structure of disordered systems using either tight binding like models or quite directly from ab inito density functional band structure calculations. The band structure is calculated using…

Materials Science · Physics 2011-09-20 M. W. Haverkort , I. S. Elfimov , G. A. Sawatzky

When a van-Hove singularity is located in the vicinity of the Fermi level, the electronic scattering rate acquires a non-analytic contribution. This invalidates basic assumptions of Fermi liquid theory and within perturbative treatments…

Strongly Correlated Electrons · Physics 2010-10-20 Sebastian Schmitt

Scattering among electrons generates a distinct contribution to electrical resistivity that follows a quadratic temperature dependence. In strongly-correlated electron systems, the prefactor A of this T$^2$ resistivity scales with the…

Strongly Correlated Electrons · Physics 2015-09-01 Xiao Lin , Benoit Fauque , Kamran Behnia

On the basis of Quantum Monte Carlo simulations of the two-dimensional Hubbard model which cover the doping range from the under- to the over-doped regime, we find that the single-particle spectral weight $A (\vec k,\omega)$ qualitatively…

Strongly Correlated Electrons · Physics 2008-02-03 R. Preuss , W. Hanke , C. Gröber , H. G. Evertz

We provide a comprehensive theoretical investigation of the Fermi liquid quasiparticle description in two-dimensional electron gas interacting via the long-range Coulomb interaction by calculating the electron self-energy within the…

Mesoscale and Nanoscale Physics · Physics 2021-09-16 Seongjin Ahn , Sankar Das Sarma

In this study, we examine the superconducting instability of a quasi-one-dimensional lattice in the Hubbard model based on the random-phase approximation (RPA) and the fluctuation exchange (FLEX) approximation. We find that a spin-singlet…

Superconductivity · Physics 2021-09-15 Soma Yoshida , Keiji Yada , Yukio Tanaka

We demonstrate how Exceptional Points (EPs) naturally occur in the Luttinger Liquid (LL) theory describing the low-energy excitations of a microscopic lattice model with sublattice dependent electron-electron interaction. Upon bosonization,…

Strongly Correlated Electrons · Physics 2025-02-25 J. Schwardt , B. Michen , C. Lehmann , J. C. Budich

In solid state physics, the electron-phonon interaction (EPI) is central to many phenomena. The theory of the renormalization of electronic properties due to EPIs became well established with the theory of Allen-Heine-Cardona, usually…

Materials Science · Physics 2022-06-22 Jean Paul Nery , Francesco Mauri

We consider the implications of a phenomenological model self-energy for the charge transport properties of the metallic phase of the overdoped cuprate superconductors. The self-energy is the sum of two terms with characteristic…

Strongly Correlated Electrons · Physics 2012-07-30 Jure Kokalj , Nigel E. Hussey , Ross H. McKenzie

A precursor effect on the Fermi surface in the two-dimensional Hubbard model at finite temperatures near the antiferromagnetic instability is studied using three different itinerant approaches: the second order perturbation theory, the…

Strongly Correlated Electrons · Physics 2009-09-25 Taiichiro Saikawa , Alvaro Ferraz

We study the response of the interacting electron gas in one dimension on the local external potential. In the low frequency limit the power-law singularities are essentially modifyed by backscattering effects which, in the case of zero…

Condensed Matter · Physics 2009-10-22 N. V. Prokof'ev

A spectroscopic method is applied to measure the inelastic quasi-particle relaxation rate in a disordered Fermi liquid. The quasi-particle relaxation rate, $\gamma$ is deduced from the magnitude of fluctuations in the local density of…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 T. Schmidt , P. König , E. McCann , Vladimir I. Fal'ko , R. J. Haug
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