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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

We calculate thermodynamic properties of soft-core lattice bosons with on-site $n$-body interactions using up to twelfth and tenth order strong coupling expansion in one and two dimensional cubic lattices at zero temperature. Using linked…

Quantum Gases · Physics 2014-08-27 Vipin Kerala Varma , Hartmut Monien

Using the Feynman-Pines diagram technique, the energy spectrum of localized quasi-particles interacting with polarization phonons is calculated and analyzed in the wide range of energies at the finite temperature of the system. It is…

Strongly Correlated Electrons · Physics 2017-02-13 M. V. Tkach , Ju. O. Seti , O. M. Voitsekhivska , O. Yu. Pytiuk

We review a recently developed method, based on a pseudoparticle representation of correlated electrons, to describe both Fermi liquid and non-Fermi liquid behavior in quantum impurity systems. The role of the projection onto the physical…

Strongly Correlated Electrons · Physics 2020-04-20 Johann Kroha , Peter Wölfle

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 a quantum impurity coupled to the edge states of a two-dimensional helical topological superconductor, i.e., to a pair of counterpropagating Majorana fermion edge channels with opposite spin polarizations. For an impurity described…

Strongly Correlated Electrons · Physics 2011-11-15 Rok Zitko , Pascal Simon

We study the problem of the phonon-induced electron-electron interaction in a solid. Starting with a Hamiltonian that contains an electron-phonon interaction, we perform a similarity renormalization transformation to calculate an effective…

Superconductivity · Physics 2009-10-28 Andreas Mielke

We study quantum impurity models as a platform for quantum thermometry. A single quantum spin-1/2 impurity is coupled to an explicit, structured, fermionic thermal environment which we refer to as the environment or bath. We critically…

Quantum Physics · Physics 2023-05-01 George Mihailescu , Steve Campbell , Andrew K. Mitchell

We propose a set of variational wavefunctions for the sub-gap spin-doublet and spin-singlet eigenstates of the particle-hole symmetric superconducting Anderson impurity model. The wavefunctions include up to two Bogoliubov quasiparticles in…

Superconductivity · Physics 2025-07-09 Teodor Iličin , Rok Žitko

We investigate the indirect interaction between two isolated impurities in a Luttinger liquid described by a microscopic lattice model. To treat the electron-electron interaction U the functional renormalization group method is used. For…

Strongly Correlated Electrons · Physics 2009-11-13 P. Waechter , V. Meden , K. Schoenhammer

The effective Hamiltonian of strongly correlated electrons on a square lattice is replaced by a renormalised Hamiltonian and the factors that renormalise the kinetic energy of holes and the Heisenberg spin-spin coupling are calculated using…

Strongly Correlated Electrons · Physics 2007-05-23 F. C. Zhang , C. Gros , T. M. Rice , H. Shiba

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

Phase diagram of the Hubbard-Holstein model in the coexistence of electron-electron and electron-phonon interactions has been theoretically obtained with the density-matrix renormalization group method for one-dimensional (1D) systems,…

Strongly Correlated Electrons · Physics 2008-01-16 Masaki Tezuka , Ryotaro Arita , Hideo Aoki

We investigate a one-dimensional three-component few-fermion mixture confined in a parabolic external trap, where one component contains a single particle acting as an impurity. Focusing on the many-body ground state, we analyze how the…

Quantum Gases · Physics 2026-01-06 Marek Teske , Tomasz Sowiński

In a previous work (N. H. Tong, Phys. Rev. B 92, 165126 (2015)), an equation-of-motion based series expansion formalism was used to do the second-order strong-coupling expansion for the single-particle Green function of the Anderson…

Strongly Correlated Electrons · Physics 2022-02-09 Kou-Han Ma , Ning-Hua Tong

In this paper we have explored the role of valence fluctuations in an extended Anderson impurity model (e-SIAM) in which there is an additional Hubbard repulsion between conduction and impurity electrons, employing perturbative…

Strongly Correlated Electrons · Physics 2017-10-05 Rukhsan Ul Haq , N. S. Vidhyadhiraja

We use the numerical renormalization group method to study the O(3)-symmetric version of the impurity Anderson model of Coleman and Schofield. This model is of general interest because it displays both Fermi liquid and non-Fermi liquid…

Strongly Correlated Electrons · Physics 2009-10-30 R. Bulla , A. C. Hewson

We study low-energy properties of the Anderson impurity under a finite bias voltage $V$ using the perturbation theory in $U$ of Yamada and Yosida in the nonequilibrium Keldysh diagrammatic formalism, and obtain the Ward identities for the…

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

We discuss the transient effects in the Anderson impurity model that occur when two fermionic continua with finite bandwidths are instantaneously coupled to a central level. We present results for the analytically solvable noninteracting…

Mesoscale and Nanoscale Physics · Physics 2008-12-11 T. L. Schmidt , P. Werner , L. Muehlbacher , A. Komnik

The density-matrix renormalization group is employed to investigate a harmonically-trapped imbalanced Fermi condensate based on a one-dimensional attractive Hubbard model. The obtained density profile shows a flattened population difference…

Strongly Correlated Electrons · Physics 2008-06-20 Masaki Tezuka , Masahito Ueda