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Solving the single-impurity Anderson model (SIAM) is a basic problem of solid state physics. The SIAM model is very important, at present it is also used for systems with quantum impurities, e.g. semiconductor quantum dots and molecular…

Strongly Correlated Electrons · Physics 2023-07-19 Grzegorz Górski , Jerzy Mizia , Krzysztof Kucab

We analyze the ground-state energy, magnetization, magnetic susceptibility, and Kondo screening cloud of the symmetric single-impurity Anderson model (SIAM) that is characterized by the band width $W$, the impurity interaction strength $U$,…

Strongly Correlated Electrons · Physics 2019-04-24 Gergely Barcza , Florian Gebhard , Thorben Linneweber , Örs Legeza

Using the cumulant Green's functions method (CGFM), we study the single impurity Anderson model (SIAM). The CGFM starting point is a diagonalization of the SIAM Hamiltonian expressed in a semi-chain form, containing N sites, viz., a…

Strongly Correlated Electrons · Physics 2024-09-26 T. M. Sobreira , T. O. Puel , M. A. Manya , S. E. Ulloa , G. B. Martins , J. Silva-Valencia , R. N. Lira , M. S. Figueira

In this work, we investigate the characteristics of the electric current in the so-called symmetric Anderson impurity model. We study the nonequilibrium model using two complementary approximate methods, the perturbative quantum master…

Mesoscale and Nanoscale Physics · Physics 2019-07-04 Amikam Levy , Lyran Kidon , Jakob Bätge , Junichi Okamoto , Michael Thoss , David T. Limmer , Eran Rabani

We derive an exact mapping from the action of nonequilibrium dynamical mean-field theory (DMFT) to a single-impurity Anderson model (SIAM) with time-dependent parameters, which can be solved numerically by exact diagonalization. The…

Strongly Correlated Electrons · Physics 2013-12-06 Christian Gramsch , Karsten Balzer , Martin Eckstein , Marcus Kollar

Based on an equation of motion approach the single impurity Anderson model(SIAM) is reexamined. Using the cluster expansions the equations of motion of Green functions are transformed into the corresponding equations of motion of connected…

Strongly Correlated Electrons · Physics 2009-10-31 Hong-Gang Luo , Zu-Jian Ying , Shun-Jin Wang

We consider a single impurity Anderson model (SIAM) in which the quantum dot(QD) is strongly coupled to a phonon bath in polaron regime. This coupling results in an effective e-e attraction. By computing the self energies using a current…

Mesoscale and Nanoscale Physics · Physics 2016-09-14 Amir Eskandari-asl

We investigate static and dynamical ground-state properties of the two-impurity Anderson model at half filling in the limit of vanishing impurity separation using the dynamical density-matrix renormalization group method. In the…

Strongly Correlated Electrons · Physics 2009-11-11 Satoshi Nishimoto , Thomas Pruschke , Reinhard M. Noack

We use the time dependent variational matrix product state (tVMPS) approach to investigate the dynamical properties of the single impurity Anderson model (SIAM). Under the Jordan-Wigner transformation, the SIAM is reformulated into two…

Strongly Correlated Electrons · Physics 2010-02-04 Lei Wang , Jia-Ning Zhuang , Xi Dai , X. C. Xie

In the present work we apply the atomic approach to the single impurity Anderson model (SIAM). A general formulation of this approach, that can be applied both to the impurity and to the lattice Anderson Hamiltonian, was developed in a…

Strongly Correlated Electrons · Physics 2009-11-24 T. Lobo , M. S. Figueira , M. E. Foglio

We consider the symmetric single-impurity Anderson model in the presence of pairing fluctuations. In the isotropic limit, the degrees of freedom of the local impurity are separated into hybridizing and non-hybridizing modes. The self-energy…

Strongly Correlated Electrons · Physics 2009-10-31 Guang-Ming Zhang , Lu Yu

We study Gutzwiller-correlated wave functions as variational ground states for the two-impurity Anderson model (TIAM) at particle-hole symmetry as a function of the impurity separation ${\bf R}$. Our variational state is obtained by…

Strongly Correlated Electrons · Physics 2017-10-25 Thorben Linneweber , Jörg Bünemann , Zakaria M. M. Mahmoud , Florian Gebhard

The single impurity Anderson model (SIAM) is studied within an enhanced non-crossing approximation (ENCA). This method is extended to the calculation of susceptibilities and thoroughly tested, also in order to prepare applications as a…

Strongly Correlated Electrons · Physics 2010-01-19 Sebastian Schmitt , Torben Jabben , Norbert Grewe

We review two analytical approaches in Dynamical Mean-Field Theory (DMFT) based on a perturbation theory expansion over the electron hopping to and from the self consistent environment. In the first approach the effective single impurity…

Strongly Correlated Electrons · Physics 2007-05-23 I. V. Stasyuk , A. M. Shvaika

We present a novel approximation for two interacting magnetic impurities immersed into a noninteracting metallic host. The scheme is based on direct perturbation theory in the hybridization between the impurity and band electrons. This…

Strongly Correlated Electrons · Physics 2012-04-16 Torben Jabben , Norbert Grewe , Sebastian Schmitt

We study the non-interacting two-impurity Anderson model on a lattice using the Green function equation-of-motion method. A case of particular interest is the RKKY limit that is characterized by a small hybridization between impurities and…

Strongly Correlated Electrons · Physics 2017-10-11 Zakaria M. M. Mahmoud , Jörg Bünemann , Florian Gebhard

We study the interacting, symmetrically coupled single impurity Anderson model. By employing the nonequilibrium Green's function formalism, we establish an exact relationship between the steady-state charge current flowing through the…

Mesoscale and Nanoscale Physics · Physics 2017-12-25 Bijay Kumar Agarwalla , Dvira Segal

We study the single impurity Anderson model (SIAM) using the equations of motion method (EOM), the non-crossing approximation (NCA), the one-crossing approximation (OCA), and Wilson's numerical renormalization group (NRG). We calculate the…

Strongly Correlated Electrons · Physics 2020-01-08 Bruno Max de Souza Melo , Luis G. G. V. Dias da Silva , Alexandre Reily Rocha , Caio H. Lewenkopf

By means of a projector-operator formalism we derive an approximation based on a self consistent hybridization expansion to study the ground state properties of the Anderson Impurity model. We applied the approximation to the general case…

Strongly Correlated Electrons · Physics 2016-04-20 I. J. Hamad , P. Roura-Bas , A. A. Aligia , E. V. Anda

The recently developed energy-scale-dependent Composite Operator Method is applied to the single-impurity Anderson model. A fully self-consistent solution is given and analyzed. At very low temperatures, the density of states presents, on…

Strongly Correlated Electrons · Physics 2007-05-23 Adolfo Avella , Ferdinando Mancini , Roland Hayn
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