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Related papers: Nonequilibrium functional RG with frequency depend…

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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 apply a functional implementation of the field-theoretical renormalization group (RG) method up to two loops to the single-impurity Anderson model. To achieve this, we follow a RG strategy similar to that proposed by Vojta \emph{et al.}…

Strongly Correlated Electrons · Physics 2012-01-11 Hermann Freire , Eberth Corrêa

We improve the recently developed functional renormalization group (fRG) for impurities and boundaries in Luttinger liquids by including renormalization of the two-particle interaction, in addition to renormalization of the impurity…

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

We construct a real time current-conserving functional renormalization group (RG) scheme on the Keldysh contour to study frequency-dependent transport and noise through a quantum dot in the local moment regime. We find that the current…

Mesoscale and Nanoscale Physics · Physics 2011-06-13 C. P. Moca , P. Simon , C. H. Chung , G. Zarand

The functional renormalization group (FRG) approach for spin models relying on a pseudo-fermionic description has proven to be a powerful technique in simulating ground state properties of strongly frustrated magnetic lattices. A drawback…

Strongly Correlated Electrons · Physics 2025-12-17 Janik Potten , Yasir Iqbal , Ronny Thomale , Tobias Müller

We present numerical renormalization group (NRG) calculations for a single-impurity Anderson model with a linear coupling to a local phonon mode. We calculate dynamical response functions, spectral densities, dynamic charge and spin…

Strongly Correlated Electrons · Physics 2009-11-07 A. Hewson , D. Meyer

We extend the microscopic Fermi-liquid theory for the Anderson impurity [Phys.\ Rev.\ B {\bf 64}, 153305 (2001)] to explore non-equilibrium transport at finite magnetic fields. Using the Ward identities in the Keldysh formalism with the…

Mesoscale and Nanoscale Physics · Physics 2020-07-24 Akira Oguri , A. C. Hewson

We propose a nonequilibrium version of functional renormalization within the Keldysh formalism by introducing a complex valued flow parameter in the Fermi or Bose functions of each reservoir. Our cutoff scheme provides a unified approach to…

Mesoscale and Nanoscale Physics · Physics 2011-11-09 Severin G. Jakobs , Volker Meden , Herbert Schoeller

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

Numerical renormalization group (NRG) is formulated for nonequilibrium steady-state by converting finite-lattice many-body eigenstates into scattering states. Extension of the full-density-matrix NRG for a biased Anderson impurity model,…

Strongly Correlated Electrons · Physics 2025-10-14 Jong E. Han

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

We develop a functional renormalization group approach which describes the low-energy single-particle properties of the Anderson impurity model up to intermediate on-site interactions $U \lesssim 15 \Delta$, where $\Delta$ is the…

Strongly Correlated Electrons · Physics 2009-09-29 Lorenz Bartosch , Hermann Freire , Jose Juan Ramos Cardenas , Peter Kopietz

We derive functional flow equations for the two-particle vertex and the self-energy in interacting fermion systems which capture the full frequency dependence of both quantities. The equations are applied to the hole-doped two-dimensional…

Strongly Correlated Electrons · Physics 2018-02-07 Demetrio Vilardi , Ciro Taranto , Walter Metzner

We analyze the spectrum of the electric-current autocorrelation function (noise power) in the Anderson impurity model biased by a finite transport voltage. Special emphasis is placed on the interplay of non-equilibrium effects and…

Mesoscale and Nanoscale Physics · Physics 2012-10-02 Christoph P. Orth , Daniel F. Urban , Andreas Komnik

Simple scaling consideration and NRG solution of the one- and two-channel Kondo model in the presence of a logarithmic Van Hove singularity at the Fermi level is given. The temperature dependences of local and impurity magnetic…

Strongly Correlated Electrons · Physics 2018-01-09 A. K. Zhuravlev , A. O. Anokhin , V. Yu. Irkhin

Quantum impurity models provide a central framework for correlated electron physics, with quantum dots enabling controlled experimental realizations. While their weak-coupling behavior is well understood through mappings to Kondo…

Mesoscale and Nanoscale Physics · Physics 2026-02-16 Nicolas Paris , Nicolas Dupuis , Christophe Mora

We study the non-Fermi-liquid state formed by an isotropic, degenerate Fermi gas in two spatial dimensions interacting with a U(1) gauge field. Our calculation uses the functional renormalization group (fRG) with a soft frequency cutoff for…

Strongly Correlated Electrons · Physics 2024-11-28 Thomas P. Sheerin , Chris A. Hooley

We present a comprehensive study of the spectral and transport properties in the Anderson--Holstein model both in and out of equilibrium using the functional renormalization group (FRG). We show how the previously established machinery of…

Strongly Correlated Electrons · Physics 2014-05-19 M. A. Laakso , D. M. Kennes , S. G. Jakobs , V. Meden

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 construct the boundary conformal field theory that describes the low-temperature behavior of the two-channel Anderson impurity model. The presence of an exactly marginal operator is shown to generate a line of stable fixed points…

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