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A rational representation for the self--energy is explored to interpolate the solution of the Anderson impurity model in general orbitally degenerate case. Several constrains such as the Friedel's sum rule, positions of the Hubbard bands as…

Strongly Correlated Electrons · Physics 2009-11-10 S. Y. Savrasov , V. Oudovenko , K. Haule , D. Villani , G. Kotliar

We study the quench dynamics of an Anderson impurity model using the configuration interaction (CI) method. In particular, we focus on the relaxation behavior of the impurity occupation. The system is found to behave very differently in the…

Strongly Correlated Electrons · Physics 2015-10-26 Chungwei Lin , Alexander A. Demkov

We discuss the local density approximation approach to calculating the ground state energy of a one-dimensional Fermi gas containing a single impurity, and compare the results with exact numerical values that we have for up to 11 particles…

Quantum Gases · Physics 2016-05-27 N. J. S. Loft , L. B. Kristensen , A. E. Thomsen , N. T. Zinner

We present a hardware-reconfigurable ansatz on $N_q$-qubits for the variational preparation of many-body states of the Anderson impurity model (AIM) with $N_{\text{imp}}+N_{\text{bath}}=N_q/2$ sites, which conserves total charge and spin…

We propose a scheme to extract the many-body spectral function of an interacting many-electron system from an equilibrium density functional theory (DFT) calculation. To this end we devise an ideal STM-like setup and employ the recently…

Mesoscale and Nanoscale Physics · Physics 2018-02-20 David Jacob , Stefan Kurth

We present a new method to calculate directly the one-particle self-energy of an impurity Anderson model with Wilson's numerical Renormalization Group method by writing this quantity as the ratio of two correlation functions. This way of…

Strongly Correlated Electrons · Physics 2009-10-31 R. Bulla , A. C. Hewson , Th. Pruschke

The Anderson model for a single impurity coupled to two leads is studied using the $GW$ approximation in the strong electron-electron interaction regime as a function of the alignment of the impurity level relative to the chemical…

Strongly Correlated Electrons · Physics 2015-05-13 Catalin D. Spataru , Mark S. Hybertsen , Steven G. Louie , Andrew J. Millis

We have obtained the exact ground state wave functions of the Anderson-Hubbard model for different electron fillings on a 4x4 lattice with periodic boundary conditions - for 1/2 filling such ground states have roughly 166 million states.…

Strongly Correlated Electrons · Physics 2007-11-17 X. Chen , P. W. Leung , R. J. Gooding

Solving the Anderson impurity model typically involves a two-step process, where one first calculates the ground state of the Hamiltonian, and then computes its dynamical properties to obtain the Green's function. Here we propose a hybrid…

We develop an exact non-perturbative framework to compute steady-state properties of quantum-impurities subject to a finite bias. We show that the steady-state physics of these systems is captured by nonequilibrium scattering eigenstates…

Strongly Correlated Electrons · Physics 2009-11-11 Pankaj Mehta , Natan Andrei

We calculate the width $2\Delta_{\text{CT}}$ and intensity of the charge-transfer peak (the one lying at the on-site energy $E_d$) in the impurity spectral density of states as a function of $E_d$ in the SU($N$) impurity Anderson model…

Strongly Correlated Electrons · Physics 2018-01-31 J. Fernández , F. Lisandrini , P. Roura-Bas , C. Gazza , A. A. Aligia

The Anderson impurity model for Kondo problem is investigated for arbitrary orbit-spin degeneracy $N$ of the magnetic impurity by the equation of motion method (EOM). By employing a new decoupling scheme, a set self-consistent equations for…

Strongly Correlated Electrons · Physics 2015-05-13 Yunong Qi , Jian-Xin Zhu , C. S. Ting

The present paper is devoted to the study of a simple model of interacting electrons in a random background. In a large interval $\Lambda$, we consider $n$ one dimensional particles whose evolution is driven by the Luttinger-Sy model, i.e.,…

Mathematical Physics · Physics 2014-08-26 Frédéric Klopp , Nikolaj Veniaminov

Single-particle dynamics of the Anderson impurity model in the presence of a magnetic field $H$ are considered, using a recently developed local moment approach that encompasses all energy scales, field and interaction strengths. For strong…

Strongly Correlated Electrons · Physics 2009-11-07 David E. Logan , Nigel L. Dickens

We study the non-equilibrium dynamics of a spinful single-orbital quantum dot with an incorporated quantum mechanical spin-1/2 magnetic impurity. Due to the spin degeneracy, double occupancy is allowed, and Coulomb interaction together with…

Mesoscale and Nanoscale Physics · Physics 2012-07-30 Daniel Becker , Stephan Weiss , Michael Thorwart , Daniela Pfannkuche

We present a solver for correlated impurity problems out of equilibrium based on a combination of the so-called auxiliary master equation approach (AMEA) and the configuration interaction expansion. Within AMEA one maps the original…

Strongly Correlated Electrons · Physics 2023-02-22 D. Werner , J. Lotze , E. Arrigoni

We develop several configuration interaction approaches for characterizing the electronic structure of an adsorbate on a metal surface (at least in model form). When one can separate adsorbate from substrate, these methods can achieve a…

Chemical Physics · Physics 2020-02-26 Zuxin Jin , Wenjie Dou , Joseph E. Subotnik

The non-relativistic interacting electron gas in an external field of positively charged massive cores is dealt with in the scheme of second quantization. Ladder operators that change between stationary states of contiguous energy…

Quantum Physics · Physics 2025-02-27 Miguel Lagos

A dynamical mean-field theory of the small polaron problem is presented, which becomes exact in the limit of infinite dimensions. The ground state properties and the one-electron spectral function are obtained for a single electron…

Condensed Matter · Physics 2009-10-30 S. Ciuchi , F. de Pasquale , S. Fratini , D. Feinberg

For the massless Nelson model we provide detailed information about the dependence of the normalized ground states $\check{\psi}_{P,\sigma}$ of the fiber single-electron Hamiltonians $H_{P,\sigma}$ on the total momentum $P$ and the infrared…

Mathematical Physics · Physics 2021-05-11 Wojciech Dybalski , Alessandro Pizzo
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