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A criterion for effective irrelevancy of the spin-orbit coupling in the heavy-fermion superconductivity is discussed on the basis of the impurity Anderson model with two sets of Kramers doublets. Using Wilson's numerical…

Strongly Correlated Electrons · Physics 2009-11-11 Hiroaki Kusunose

We apply the recently developed extremely correlated Fermi liquid theory to the Anderson impurity model, in the extreme correlation limit. We develop an expansion in a parameter \lambda, related to n_d, the average occupation of the…

Strongly Correlated Electrons · Physics 2026-01-14 B. Sriram Shastry , Edward Perepelitsky , Alex C. Hewson

We investigate the spinless Anderson-Holstein model routinely employed to describe the basic physics of phonon-assisted tunneling in molecular devices. Our focus is on small to intermediate electron-phonon coupling; we complement a recent…

Strongly Correlated Electrons · Physics 2017-11-30 A. Khedri , T. A. Costi , V. Meden

Using the natural orbitals renormalization group (NORG) method, we have investigated the screening of the local spin of an Anderson impurity interacting with the helical edge states in a quantum spin Hall insulator. We find that there is a…

Strongly Correlated Electrons · Physics 2022-01-17 Ru Zheng , Rong-Qiang He , Zhong-Yi Lu

We show how the density-matrix numerical renormalization group (DM-NRG) method can be used in combination with non-Abelian symmetries such as SU(N), where the decomposition of the direct product of two irreducible representations requires…

Strongly Correlated Electrons · Physics 2012-11-28 Catalin Pascu Moca , Arne Alex , Jan von Delft , Gergely Zarand

We propose an auxiliary-bath algorithm for the numerical renormalization group (NRG) method to solve multi-impurity models with shared electron baths. The method allows us to disentangle the electron baths into independent Wilson chains to…

Strongly Correlated Electrons · Physics 2026-01-27 Danqing Hu , Jiangfan Wang , Yi-feng Yang

Quantum impurity models are the prototypical examples of quantum many-body dynamics which manifests in their spectral and transport properties. Single channel Anderson(and Kondo model) leads to the Fermi liquid ground state in the strong…

Strongly Correlated Electrons · Physics 2017-11-30 Rukhsan Ul Haq , Anirban Sharma

The functional renormalization group (fRG) is acknowledged as a powerful tool in quantum many-body physics and beyond. On the technical side, conventional implementations of the fRG rely on regulators for bare propagators only. Starting…

Strongly Correlated Electrons · Physics 2026-04-09 Aiman Al-Eryani , Marcel Gievers , Kilian Fraboulet

We solve the two-channel Anderson impurity model using the Bethe-Ansatz. We determine the ground state and derive the thermodynamics, obtaining the impurity entropy and specific heat over the full range of temperature. We show that the low…

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

In this paper, we develop a wave function renormalization scheme for models of non-relativistic quantum particles interacting with a quantized relativistic field, in the Hamiltonian formalism of quantum field theory. We construct the…

Mathematical Physics · Physics 2026-03-10 Marco Falconi , Benjamin Hinrichs , Javier Valentín Martín

Weak-coupling phenomena of the two-dimensional Hubbard model is gaining momentum as a new interesting research field due to its extraordinarily rich behavior as a function of the carrier density and model parameters. Salmhofer [{\it Commun.…

Mesoscale and Nanoscale Physics · Physics 2021-06-16 Sushant Kumar Behera , Madhavi Ahalawat , Subrata Jana , Prasanjit Samal , Pritam Deb

We investigate quantum impurity problems, where a local magnetic moment is coupled to the spin density of a bosonic environment, leading to bosonic versions of the standard Kondo and Anderson impurity models. In a physical situation, these…

Strongly Correlated Electrons · Physics 2008-11-26 Serge Florens , Lars Fritz , Matthias Vojta

We present a detailed description of the recently proposed numerical renormalization group method for models of quantum impurities coupled to a bosonic bath. Specifically, the method is applied to the spin-boson model, both in the Ohmic and…

Strongly Correlated Electrons · Physics 2009-11-10 Ralf Bulla , Hyun-Jung Lee , Ning-Hua Tong , Matthias Vojta

A spin-1/2 magnetic impurity coupled to a one-dimensional correlated electron system have been studied by applying the density renormalization group method. The Kondo temperature is substantially enhanced by strong repulsive interactions in…

Strongly Correlated Electrons · Physics 2009-10-30 Xiaoqun Wang

We extend the renormalized perturbation theory for the single impurity Anderson model to the n-channel model with a Hund's rule coupling, and show that the exact results for the spin, orbital and charge susceptibilities, as well as the…

Strongly Correlated Electrons · Physics 2010-05-28 Y Nishikawa , D J G Crow , A C Hewson

The renormalization-group (RG) approach proposed earlier by Shankar for interacting spinless fermions at $T=0$ is extended to the case of non-zero temperature and spin. We study a model with $SU(N)$-invariant short-range effective…

Condensed Matter · Physics 2009-10-28 G. Chitov , D. Senechal

We develop several configuration interaction approaches for characterizing the electronic structure of an adsorbate on a metal surface (at least in model form). When one can separate adsorbate from substrate, these methods can achieve a…

Chemical Physics · Physics 2020-02-26 Zuxin Jin , Wenjie Dou , Joseph E. Subotnik

We describe a new formulation of the functional renormalization group (RG) for interacting fermions within a Wilsonian momentum-shell approach. We show that the Luttinger-Ward functional is a fixed point of the RG, and derive the infinite…

Strongly Correlated Electrons · Physics 2007-05-23 N. Dupuis

We consider an integrable model describing an Anderson-like impurity coupled to an open $t$--$J$ chain. Both the hybridization (i.e. its coupling to bulk chain) and the local spectrum can be controlled without breaking the integrability of…

Strongly Correlated Electrons · Physics 2007-05-23 Holger Frahm , Guillaume Palacios

We introduce a method based on auxiliary master equation for solving the problem of an impurity with local electron-electron and electron-phonon interaction embedded between two conduction leads with a finite bias voltage. The…

Strongly Correlated Electrons · Physics 2025-02-27 D. Werner , R. Žitko , E. Arrigoni
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