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A Bethe Ansatz solution of a (modified) Hubbard chain with a Kondo impurity of arbitrary spin S at a highly symmetric line of parameter space is proposed and explored. Our results confirm the existence of a strong-coupling (line of)…

Strongly Correlated Electrons · Physics 2009-10-31 P. -A. Bares , K. Grzegorczyk

The recently observed properties of quasiparticle resonant states near impurities on the surface of superconducting BSCCO demonstrate that in-plane Andreev processes are either absent or phase-incoherent. Analysis of the spectral and…

Superconductivity · Physics 2009-10-31 Michael E. Flatté

Ground-state properties of the non-interacting symmetric single-impurity Anderson model (SIAM) are derived from the corresponding eigenenergy equation. Explicit formulae are given for the ground-state energy, the hybridization, and the…

Strongly Correlated Electrons · Physics 2015-12-02 Zakaria M. M. Mahmoud , Florian Gebhard

We examine the formation of bound states on a generalized nonlinear impurity located at or near the beginning (surface) of a linear, tight-binding semi-infinite lattice. Using the formalism of lattice Green functions, we obtain in closed…

Disordered Systems and Neural Networks · Physics 2009-11-10 M. I. Molina

We consider a magnetic impurity in a spin liquid state of a magnetic system which is close to the quantum phase transition to the magnetically ordered state. There is similarity between this problem and the Kondo problem. We derive the…

Strongly Correlated Electrons · Physics 2009-10-31 O. P. Sushkov

We investigate the ground-state properties of the Anderson single impurity model (finite Coulomb impurity repulsion) with the Coupled Cluster Method. We consider different CCM reference states and approximation schemes and make comparison…

Strongly Correlated Electrons · Physics 2009-06-26 Jin-Jun Liang , Clive Emary , Tobias Brandes

The single channel Anderson impurity model is a standard model for the description of magnetic impurities in metallic systems. Usually, the bandwidth represents the largest energy scale of the problem. In this paper, we analyze the limit of…

Strongly Correlated Electrons · Physics 2009-10-31 W. Hofstetter , S. Kehrein

We consider an electron, spin 1/2, minimally coupled to the quantized radiation field in the nonrelativistic approximation, a situation defined by the Pauli-Fierz Hamiltonian $H$. There is no external potential and $H$ fibers as…

Mathematical Physics · Physics 2007-05-23 F. Hiroshima , H. Spohn

An one dimensional model of a Kondo impurity with arbitrary spin in the presence of electronic correlations is solved exactly. The Bethe ansatz equations are obtained for the case of quadratic dispersion. The ground state is studied in the…

Strongly Correlated Electrons · Physics 2009-10-30 You-Quan Li , Pierre-Antoine Bares

The Kondo problem of two impurities in 1D strongly correlated electron system within the framework of the open boundary Hubbard chain is solved and the impurities, coupled to the ends of the electron system, are introduced by their…

Strongly Correlated Electrons · Physics 2009-10-31 Zhan-Ning Hu , Fu-Cho Pu

We study the low-energy behavior of the vertex function of a single Anderson impurity away from half-filling for finite magnetic fields, using the Ward identities with careful consideration of the anti-symmetry and analytic properties. The…

Strongly Correlated Electrons · Physics 2020-07-23 Akira Oguri , A. C. Hewson

We present a variational study of both unpaired and spin-singlet paired states induced in a two-dimensional electron gas at low density by a perpendicular magnetic field. It is based on an improved circular-cell approximation which leads to…

Strongly Correlated Electrons · Physics 2009-11-07 M. Polini , K. Moulopoulos , B. Davoudi , M. P. Tosi

We discuss a solvable model describing an Anderson like impurity in a BCS superconductor. The model can be mapped onto an Ising field theory in a boundary magnetic field, with the Ising fermions being the quasi-particles of the Bogoliubov…

Condensed Matter · Physics 2009-10-31 Z. S. Bassi , A. LeClair

The electronic structure near a single classical magnetic impurity in a superconductor is determined using a fully self-consistent Koster-Slater algorithm. Localized excited states are found within the energy gap which are half electron and…

Condensed Matter · Physics 2009-10-28 Michael E. Flatte' , Jeff M. Byers

We investigate the local density of states and Friedel oscillation in graphene around a well localized impurity in Born approximation. In our analytical calculations Green's function technique has been used taking into account both the…

Mesoscale and Nanoscale Physics · Physics 2010-11-23 Ádám Bácsi , Attila Virosztek

The splitting of the Kondo resonance in the density of states of an Anderson impurity in finite magnetic field is calculated from the exact Bethe-ansatz solution. The result gives an estimate of the electron spectral function for nonzero…

Strongly Correlated Electrons · Physics 2009-10-31 Joel E. Moore , Xiao-Gang Wen

The localization of one-electron states in the large (but finite) disorder limit is investigated. The inverse participation number shows a non--monotonic behavior as a function of energy owing to anomalous behavior of few-site localization.…

Disordered Systems and Neural Networks · Physics 2012-10-02 L. Ujfalusi , I. Varga

Closed expression for the Green's function of the stationary two-dimensional Schrodinger equation for an electron in group-VI dichalcogenides in the presence of a magnetic field is obtained in terms of the Whittaker functions. The resulting…

Mesoscale and Nanoscale Physics · Physics 2016-12-14 Tomasz M Rusin , Wlodek Zawadzki

The Anderson impurity model for finite values of the Coulomb repulsion $U$ is studied using a slave boson representation for the empty and doubly occupied $f$-level. In order to avoid well known problems with a naive mean field theory for…

Condensed Matter · Physics 2009-10-22 J. Holm , R. Kree , K. Schönhammer

We introduce a hybrid high-order method for approximating the ground state of the nonlinear Gross--Pitaevskii eigenvalue problem. Optimal convergence rates are proved for the ground state approximation, as well as for the associated…

Numerical Analysis · Mathematics 2025-06-26 Moritz Hauck , Yizhou Liang
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