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A recently developed linear algebraic method for the computation of perturbation expansion coefficients to large order is applied to the problem of a hydrogenic atom in a magnetic field. We take as the zeroth order approximation the $D…

chem-ph · Physics 2009-10-22 Timothy C. Germann , Dudley R. Herschbach , Bruce M. Boghosian

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 propose a realization of the two-impurity Anderson model in a double quantum-dot device. When charge transfer between the dots is suppressed the system exhibits a quantum phase transition, controlled by a surface of non-Fermi liquid…

Strongly Correlated Electrons · Physics 2009-11-13 David F. Mross , Henrik Johannesson

The Anderson model for a magnetic impurity in a one-dimensional quasicrystal is studied using the numerical renormalization group (NRG). The main focus is elucidating the physics at the critical point of the Aubry-Andre (AA) Hamiltonian,…

Strongly Correlated Electrons · Physics 2023-03-21 Ang-Kun Wu , Daniel Bauernfeind , Xiaodong Cao , Sarang Gopalakrishnan , Kevin Ingersent , J. H. Pixley

Analytical complexity of quantum wavefunction whose argument is extended into the complex plane provides an important information about the potentiality of manifesting complex quantum dynamics such as time-irreversibility, dissipation and…

Statistical Mechanics · Physics 2015-06-17 Hiroaki S. Yamada , Kensuke S. Ikeda

We examine the properties of an infinite-$U$ Anderson impurity coupled to both normal and superconducting metals. Both the cases of a quantum dot and a quantum point contact containing an impurity are considered; for the latter, we study…

Strongly Correlated Electrons · Physics 2009-10-31 Aashish A. Clerk , Vinay Ambegaokar , Selman Hershfield

We present an extension of the local moment approach to the Anderson impurity model with spin-dependent hybridization. By employing the two-self-energy description, as originally proposed by Logan and co-workers, we applied the symmetry…

Strongly Correlated Electrons · Physics 2011-08-04 Choong H. Kim , Jaejun Yu

Formation of the Kondo state in general two-band Anderson model has been investigated within the numerical renormalization group (NRG) calculations. The Abrikosov-Suhl resonance is essentially asymmetric for the model with one electron per…

Strongly Correlated Electrons · Physics 2009-11-10 A. K. Zhuravlev , V. Yu. Irkhin , M. I. Katsnelson , A. I. Lichtenstein

The variational approach of Gunnarsson and Sch\"onhammer to the Anderson impurity model is generalized to study d-wave superconductors in the presence of dilute spin-1/2 impurities. We show that the local moment is screened when the…

Strongly Correlated Electrons · Physics 2009-11-07 Xi Dai , Ziqiang Wang

The diagrammatic theory is proposed for the strongly correlated impurity Anderson model. The strongly correlated impurity electrons are hybridized with free conduction electrons. For this system the new diagrammatic approach is formulated.…

Strongly Correlated Electrons · Physics 2007-05-23 V. A. Moskalenko , P. Entel , D. F. Digor , L. A. Dohotaru , R. Citro

Both the weakly coupled and strong coupling Anderson impurity problems are characterized by a Fermi-liquid theory with weakly interacting quasiparticles. In an Anderson box, mesoscopic fluctuations of the effective single particle…

Mesoscale and Nanoscale Physics · Physics 2012-05-07 Dong E. Liu , Sébastien Burdin , Harold U. Baranger , Denis Ullmo

A major challenge in the field of correlated electrons is the computation of dynamical correlation functions. For comparisons with experiment, one is interested in their real-frequency dependence. This is difficult to compute, as…

Strongly Correlated Electrons · Physics 2024-04-09 Anxiang Ge , Nepomuk Ritz , Elias Walter , Santiago Aguirre , Jan von Delft , Fabian B. Kugler

We study the low-temperature properties of a spin-\onehalf\ magnetic impurity coupled to a one-dimensional interacting electron system. Using the newly developed formalism by Affleck and Ludwig, with a scale invariant boundary condition…

Condensed Matter · Physics 2009-10-28 Per Frojdh , Henrik Johannesson

We investigate a quantum dot (Anderson impurity) coupled to metallic leads, with a time-periodic voltage bias across the device. Using a time-dependent Schrieffer-Wolff transformation, we show that the Floquet Hamiltonian of the model can…

Strongly Correlated Electrons · Physics 2017-04-10 Martin Eckstein , Philipp Werner

We study by NRG the spectral properties of a two-orbital Anderson impurity model in the presence of an exchange splitting which follows either regular or inverted Hund's rules. The phase diagram contains a non-Fermi liquid fixed point…

Strongly Correlated Electrons · Physics 2007-05-23 Lorenzo De Leo , Michele Fabrizio

A Slave-Boson perturbational approach to ground-state properties of the $U\to\infty$ periodic Anderson model is derived as an expansion around the Atomic Limit ($V=0$). In the case of zero temperature any constraint-integral or limiting…

Condensed Matter · Physics 2009-10-28 Jan Brinckmann

Single- and two-particle spectra of a single immobile impurity immersed in a fermionic bath can be computed exactly and are characterized by divergent power laws (edge singularities). Here, we present the leading lattice correction to this…

Strongly Correlated Electrons · Physics 2024-05-20 Dimitri Pimenov

An exactly solvable one-dimensional Hubbard model with a single Anderson impurity embedded at the boundary is constructed in the framework of the quantum inverse scattering method. The model is solved exactly by the nested Bethe ansatz…

Mathematical Physics · Physics 2025-09-10 Renjie Song , Mingchen Zheng , Junpeng Cao , Yupeng Wang

We introduce a new approach to the periodic Anderson model (PAM) that allows a detailed investigation of the magnetic properties in the Kondo as well as the intermediate valence regime. Our method is based on an exact mapping of the PAM…

Strongly Correlated Electrons · Physics 2015-06-25 D. Meyer , W. Nolting , G. G. Reddy , A. Ramakanth

We analyze the two Anderson impurity problem, in the strong Coulomb repulsion limit, by means of variational wave functions whose equations we solve analytically. We found two pairs of Doublet states, one odd and one even with respect to…

Strongly Correlated Electrons · Physics 2007-05-23 J. Simonin