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We consider a mass-asymmetric polarized Fermi system in the presence of Hartree-Fock (HF) potentials. We concentrate on the BCS regime with various interaction strengths and numerically obtain the allowed values of the chemical and HF…

Quantum Gases · Physics 2015-06-05 N. Ebrahimian , M. Mehrafarin , R. Afzali

Transport through small interacting systems connected to noninteracting leads is studied based on the Kubo formalism using a Eliashberg theory of the analytic properties of the vertex part. The transmission probability, by which the…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Akira Oguri

I review results concerning the derivation of effective equations for the dynamics of interacting Fermi gases in a high-density regime of mean-field type. Three levels of effective theories, increasing in precision, can be distinguished:…

Mathematical Physics · Physics 2022-08-17 Niels Benedikter

We study electron and spin transport in interacting quantum wires contacted by noninteracting leads. We theoretically model the wire and junctions as an inhomogeneous chain where the parameters at the junction change on the scale of the…

Mesoscale and Nanoscale Physics · Physics 2016-10-05 Denis Morath , Nicholas Sedlmayr , Jesko Sirker , Sebastian Eggert

We study the statistics of quasiparticle and quasihole levels in small interacting disordered systems within the Hartree-Fock approximation. The distribution of the inverse compressibility, given according to Koopmans' theorem by the…

Mesoscale and Nanoscale Physics · Physics 2008-12-18 Shimon Levit , Dror Orgad

We apply Lieb-Robinson bounds for multi-commutators we recently derived to study the (possibly non-linear) response of interacting fermions at thermal equilibrium to perturbations of the external electromagnetic field. This analysis leads…

Mathematical Physics · Physics 2017-03-08 Jean-Bernard Bru , Walter de Siqueira Pedra

In this work, we study the extended Falicov-Kimball model at half-filling within the Hartree-Fock approach (HFA) (for various crystal lattices) and compare the results obtained with the rigorous ones derived within the dynamical mean field…

Strongly Correlated Electrons · Physics 2020-11-17 Konrad Jerzy Kapcia , Romuald Lemański , Marcin Jakub Zygmunt

We study a two-dimensional electron system in a magnetic field with a fermion hardcore interaction and without disorder. Projecting the Hamiltonian onto the n-th Landau level, we show that the Hartree-Fock theory is exact in the limit n…

Condensed Matter · Physics 2009-10-28 R. Moessner , J. T. Chalker

We present an application of a new formalism to treat the quantum transport properties of fully interacting nanoscale junctions. We consider a model single-molecule nanojunction in the presence of two kinds of electron-vibron interactions.…

Mesoscale and Nanoscale Physics · Physics 2013-04-08 H. Ness , L. K. Dash

We investigate nonlinear thermal transport properties of a single interacting quantum dot with two energy levels tunnel-coupled to two electrodes using nonequilibrium Green function method and Hartree-Fock decoupling approximation. In the…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Chen Xue-Ou , Bing Dong , X. L. Lei

The electronic transport properties of heavy-fermion systems were calculated based on a semiphenomenological approach to the lattice non-crossing approximation in the limit of infinite local correlations augmented by crystal-field effects.…

Strongly Correlated Electrons · Physics 2008-02-03 M. Huth , F. B. Anders

The combined influence of disorder and interactions on the transport properties of electrons in one dimension is investigated. The numerical simulations are carried out by means of the Hartree-Fock-based diagonalization (HFD), a very…

Mesoscale and Nanoscale Physics · Physics 2015-06-25 Michael Schreiber , Frank Epperlein , Thomas Vojta

An efficient implementation of the nonequilibrium Green function (NEGF) method combined with the density functional theory (DFT) using localized pseudo-atomic orbitals (PAOs) is presented for electronic transport calculations of a system…

Mesoscale and Nanoscale Physics · Physics 2015-05-14 Taisuke Ozaki , Kengo Nishio , Hiori Kino

Three models for nonlocal electron thermal transport are here compared against Vlasov-Fokker-Planck (VFP) codes to assess their accuracy in situations relevant to both inertial fusion hohlraums and tokamak scrape-off layers. The models…

We describe microscopic theory for the quantum transport through finite interacting systems connected to noninteracting leads. It can be applied to small systems such as quantum dots, quantum wires, atomic chain, molecule, and so forth. The…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Akira Oguri

We present numerical results for the zero temperature persistent currents carried by interacting spinless electrons in disordered one dimensional continuous rings. The disorder potential is described by a collection of delta-functions at…

Mesoscale and Nanoscale Physics · Physics 2009-10-28 A. Cohen , R. Berkovits , A. Heinrich

Transport properties are among the defining characteristics of many important phases in condensed matter physics. In the presence of strong correlations they are difficult to predict even for model systems like the Hubbard model. In real…

We use a self-consistent strong-coupling expansion for the self-energy (perturbation theory in the hopping) to describe the nonequilibrium dynamics of strongly correlated lattice fermions. We study the three-dimensional homogeneous…

Strongly Correlated Electrons · Physics 2014-11-18 K. Mikelsons , J. K. Freericks , H. R. Krishnamurthy

Using the fractional moment method it is shown that, within the Hartree-Fock approximation for the Disordered Hubbard Hamiltonian, weakly interacting Fermions at positive temperature exhibit localization, suitably defined as exponential…

Mathematical Physics · Physics 2021-06-14 Rodrigo Matos , Jeffrey Schenker

We consider a nano-system connected to measurement probes via non interacting leads. When the electrons interact inside the nano-system, the coefficient |ts(E_F)|^2 describing its effective transmission at the Fermi energy E_F ceases to be…

Mesoscale and Nanoscale Physics · Physics 2011-11-09 Axel Freyn , Jean-Louis Pichard