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We demonstrate the effectiveness of a generalized renormalized perturbational approach to calculate the induced magnetization for the single impurity Anderson model with a strong on-site interaction, using flow equations for renormalized…

Strongly Correlated Electrons · Physics 2013-04-30 K. Edwards , A. C. Hewson , V. Pandis

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

We study the renormalized perturbation theory of the single-impurity Anderson model, particularly the high-order terms in the expansion of the self-energy in powers of the renormalized coupling $\tilde{U}$. Though the presence of…

Strongly Correlated Electrons · Physics 2015-09-23 Vassilis Pandis , Alex C. Hewson

We show that quasiparticles in a magnetic field of arbitrary strength $H$ can be described by field dependent parameters. We illustrate this approach in the case of an Anderson impurity model and use the numerical renormalization group…

Strongly Correlated Electrons · Physics 2009-11-11 A. C. Hewson , J. Bauer , W. Koller

We consider a version of the symmetric Anderson impurity model (compactified) which has a non-Fermi liquid weak coupling regime. We find that in the Majorana fermion representation, perturbation theory can be conveniently developed in terms…

Condensed Matter · Physics 2009-10-28 Guang-Ming Zhang , A. C. Hewson

We have applied the recently developed dual fermion technique to the spectral properties of single-band Anderson impurity problem (SIAM). In our approach a series expansion is constructed in vertices of the corresponding atomic Hamiltonian…

Strongly Correlated Electrons · Physics 2010-06-15 I. S. Krivenko , A. N. Rubtsov , M. I. Katsnelson , A. I. Lichtenstein

We analyze the one-dimensional extended Hubbard model with a single static impurity by using a computational technique based on the functional renormalization group. This extends previous work for spinless fermions to spin-1/2 fermions. The…

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

We apply the renormalized perturbation theory (RPT) to the symmetric Anderson impurity model. Within the RPT framework exact results for physical observables such as the spin and charge susceptibility can be obtained in terms of the…

Strongly Correlated Electrons · Physics 2015-06-19 Vassilis Pandis

In the Renormalised Perturbation Theory (RPT) the Anderson impurity model is interpreted in terms of renormalised parameters $\boldsymbol{\tilde{\mu}}= (\tilde{\epsilon}_d, \tilde{\Delta}, \tilde{U})$ which are in a one-to-one…

Strongly Correlated Electrons · Physics 2015-08-19 Vassilis Pandis , Alex C. Hewson

We show that the functional renormalization group is a numerically cheap method to obtain the low-energy behavior of the Anderson impurity model describing a localized interacting electron coupled to a bath of conduction electrons. Our…

Strongly Correlated Electrons · Physics 2013-05-23 Simon Streib , Aldo Isidori , Peter Kopietz

We investigate the single-impurity Anderson model by means of the recently introduced modified perturbation theory. This approximation scheme yields reasonable results away from the symmetric case. The agreement with exactly known results…

Strongly Correlated Electrons · Physics 2009-10-31 D. Meyer , T. Wegner , M. Potthoff , W. Nolting

We consider the symmetric single-impurity Anderson model in the presence of pairing fluctuations. In the isotropic limit, the degrees of freedom of the local impurity are separated into hybridizing and non-hybridizing modes. The self-energy…

Strongly Correlated Electrons · Physics 2009-10-31 Guang-Ming Zhang , Lu Yu

In earlier work we showed how the low energy behavior of the symmetric Anderson model in a magnetic field $H$ could be described in terms of field dependent renormalized quasiparticles. Here we extend the approach to the non-symmetric…

Strongly Correlated Electrons · Physics 2013-05-29 J. Bauer , A. C. Hewson

Single-particle dynamics of the Anderson impurity model in the presence of a magnetic field $H$ are considered, using a recently developed local moment approach that encompasses all energy scales, field and interaction strengths. For strong…

Strongly Correlated Electrons · Physics 2009-11-07 David E. Logan , Nigel L. Dickens

Using different techniques, and Fermi-liquid relationships, we calculate the variation with applied magnetic field (up to second order) of the zero-temperature equilibrium conductance through a quantum dot described by the impurity Anderson…

Mesoscale and Nanoscale Physics · Physics 2015-11-18 I. J. Hamad , C. Gazza , J. A. Andrade , A. A. Aligia , P. Roura-Bas , P. S. Cornaglia

Using renormalized perturbation theory in the Coulomb repulsion, we derive an analytical expression for the leading term in the temperature dependence of the conductance through a quantum dot described by the impurity Anderson model, in…

Strongly Correlated Electrons · Physics 2018-04-18 A. A. Aligia

We investigate the Hubbard model on a two-dimensional square lattice by the perturbation expansion to the fourth order in the on-site Coulomb repulsion U. Numerically calculating all diagrams up to the fourth order in self-energy, we…

Superconductivity · Physics 2008-10-13 H. Ikeda , S. Shinkai , K. Yamada

We show that the low energy behaviour of quite diverse impurity systems can be described by a single renormalized Anderson model, with three parameters, an effective level $\tilde\epsilon_d$, an effective hybridization $\tilde V$, and a…

Strongly Correlated Electrons · Physics 2009-11-10 A. C. Hewson , A. Oguri , D. Meyer

By means of a projector-operator formalism we derive an approximation based on a self consistent hybridization expansion to study the ground state properties of the Anderson Impurity model. We applied the approximation to the general case…

Strongly Correlated Electrons · Physics 2016-04-20 I. J. Hamad , P. Roura-Bas , A. A. Aligia , E. V. Anda

We use the numerical renormalization group method to study an Anderson impurity in a conduction band with the density of states varying as rho(omega) \propto |omega|^r with r>0. We find two different fixed points: a local-moment fixed point…

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