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We revisit the old problem of which is the best single particle basis to express a Hubbard-like lattice model. A rigorous variational solution of this problem leads to equations in which the answer depends in a self-consistent manner on the…

Strongly Correlated Electrons · Physics 2017-01-18 Valentina Brosco , Zu-Jian Ying , José Lorenzana

Impurities coupled to superconductors offer a controlled platform to understand the interplay between superconductivity, many-body interactions, and non-equilibrium physics. In the equilibrium situation, local interactions at the impurity…

Mesoscale and Nanoscale Physics · Physics 2021-12-17 R. Seoane Souto , A. E. Feiguin , A. Martín-Rodero , A. Levy Yeyati

In order to promote our basic understanding on the Kondo behavior recently observed in europium compounds, we analyze an impurity Anderson model with seven $f$ electrons at an impurity site by employing a numerical renormalization group…

Strongly Correlated Electrons · Physics 2018-09-14 Takashi Hotta

We reconsider the ordinary impurity effect on the transition temperature $T_{c}$ of superconductors using the Eliashberg formalism. It is shown that the correspondence principle, which relates strong-coupling and weak-coupling theories,…

Superconductivity · Physics 2007-05-23 Yong-Jihn Kim

A central feature of the Periodic Anderson Model is the competition between antiferromagnetism, mediated by the Ruderman-Kittel-Kasuya-Yosida interaction at small conduction electron-local electron hybridization $V$, and singlet formation…

Strongly Correlated Electrons · Physics 2016-08-24 Ali Benali , Zhaojun Bai , Nicholas J. Curro , Richard T. Scalettar

We calculate the spin and charge dynamical susceptibilities of a strongly correlated impurity model in a renormalised perturbation theory. The irreducible for vertices for the quasiparticle scattering are deduced from the renormalised…

Strongly Correlated Electrons · Physics 2016-08-31 A. C. Hewson

We study the competition between Kondo physics and dissipation within an Anderson model of a magnetic impurity level that hybridizes with a metallic host and is also coupled, via the impurity charge, to the displacement of a bosonic bath…

Strongly Correlated Electrons · Physics 2015-05-13 Mengxing Cheng , Matthew T. Glossop , Kevin Ingersent

We present a method for solving impurity models with electron-phonon coupling, which treats the phonons efficiently and without approximations. The algorithm is applied to the Holstein-Hubbard model in the dynamical mean field…

Strongly Correlated Electrons · Physics 2009-11-13 Philipp Werner , Andrew J. Millis

Using a fermionic renormalization group method we present a simple real space picture of the strong influence an impurity has on the electronic properties of a Luttinger liquid. We compute the flow of the renormalized impurity potential for…

Strongly Correlated Electrons · Physics 2007-05-23 V. Meden , W. Metzner , U. Schollwoeck , K. Schoenhammer

The two-channel Anderson impurity model serves as a prototype for describing heavy-fermion materials with a possible mixed-valent regime with both quadrupolar and magnetic character. We report on the low-energy physics of the model, using a…

Strongly Correlated Electrons · Physics 2007-05-23 H. Johannesson , N. Andrei , C. J. Bolech

We provide a prescription for constructing Hamiltonians representing the low energy physics of correlated electron materials with dynamically screened Coulomb interactions. The key feature is a renormalization of the hopping and…

Strongly Correlated Electrons · Physics 2014-12-16 M. Casula , Ph. Werner , L. Vaugier , F. Aryasetiawan , A. J. Millis , S. Biermann

We introduce a new aproximation scheme for the periodic Anderson model (PAM). The modified alloy approximation represents an optimum alloy approximation for the strong coupling limit, which can be solved within the CPA-formalism.…

Strongly Correlated Electrons · Physics 2009-10-31 G G Reddy , D Meyer , S Schwieger , A Ramakanth , W Nolting

We study spin-entanglement of the quasiparticles of the local Fermi liquid excited in nonlinear current through a quantum dot described by the Anderson impurity model with two degenerate orbitals coupled to each other via an exchange…

Mesoscale and Nanoscale Physics · Physics 2018-11-07 Rui Sakano , Akira Oguri , Yunori Nishikawa , Eisuke Abe

We discuss the interaction of a quantum impurity with a one-dimensional degenerate Bose gas forming a Bose-polaron. In three spatial dimensions the quasiparticle is typically well described by the extended Fr\"ohlich model, in full analogy…

Quantum Gases · Physics 2021-04-20 Jonas Jager , Ryan Barnett , Martin Will , Michael Fleischhauer

We show that a strongly renormalized band of polaronic quasiparticle excitations is induced at the Fermi level of an interacting many-electron system on increasing the coupling of the electrons to local phonons. We give results for the…

Strongly Correlated Electrons · Physics 2009-11-11 W. Koller , A. C. Hewson , D. M. Edwards

A recently introduced recurrence-relation ansatz applied to the Bose-Hubbard model is here used in the generalized Aubry-Andre model. The resulting modified Aubry-Andre model allows for a simple parametrization of the solutions in terms of…

Quantum Physics · Physics 2026-03-26 Moorad Alexanian

This work performs a comparative numerical study of the impurity average self-frequency $\tilde{\omega}$ in an unconventional superconducting alloy with non-magnetic impurities. Two methods are used: the Levenberg-Marquardt algorithm as a…

Superconductivity · Physics 2021-05-17 P. Contreras , Juan Moreno

In one-dimensional quantum wires the interplay of electron correlations and impurities strongly influences the low-energy physics. The diversity of energy scales and the competition of correlations in interacting Fermi systems can be…

Strongly Correlated Electrons · Physics 2024-09-02 Sabine Andergassen

We consider a quantum impurity model in which a bosonic impurity level is coupled to a non-interacting bosonic bath, with the bosons at the impurity site subject to a local Coulomb repulsion U. Numerical renormalization group calculations…

Statistical Mechanics · Physics 2007-05-23 Hyun-Jung Lee , Ralf Bulla

We apply a two-particle semi-analytic approach to a single Anderson impurity attached to two biased metallic leads. The theory is based on reduced parquet equations justified in critical regions of singularities in the Bethe-Salpeter…

Strongly Correlated Electrons · Physics 2022-02-23 Jiawei Yan , Václav Janiš
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