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Local three- and four-point correlators yield important insight into strongly correlated systems and have many applications. However, the nonperturbative, accurate computation of multipoint correlators is challenging, particularly in the…

强关联电子 · 物理学 2021-10-15 Seung-Sup B. Lee , Fabian B. Kugler , Jan von Delft

Single-particle dynamics of the Anderson impurity model are studied using both the numerical renormalization group (NRG) method and the local moment approach (LMA). It is shown that a 'two-self-energy' description of dynamics inherent to…

强关联电子 · 物理学 2007-05-23 Martin R. Galpin , David E. Logan

The Anderson impurity model for Kondo problem is investigated for arbitrary orbit-spin degeneracy $N$ of the magnetic impurity by the equation of motion method (EOM). By employing a new decoupling scheme, a set self-consistent equations for…

强关联电子 · 物理学 2015-05-13 Yunong Qi , Jian-Xin Zhu , C. S. Ting

A comparative study of the numerical renormalization group and non-crossing approximation results for the spectral functions of the $U=\infty$ Anderson impurity model is carried out. The non-crossing approximation is the simplest conserving…

凝聚态物理 · 物理学 2009-10-28 T. A. Costi , J. Kroha , P. Wolfle

We study the limits of the energy resolution that can be achieved in the calculations of spectral functions of quantum impurity models using the numerical renormalization group (NRG) technique with interleaving (z-averaging). We show that…

强关联电子 · 物理学 2009-03-05 Rok Zitko , Thomas Pruschke

We examine the quality of the local self-energy approximation, applied here to models of multiple quantum impurities coupled to an electronic bath. The local self-energy is obtained by solving a single-impurity Anderson model in an…

强关联电子 · 物理学 2015-10-05 Andrew K. Mitchell , Ralf Bulla

Quantum impurities can host exotic many-body states that serve as sensitive probes of bath correlations. However, quantitative and non-perturbative methods for determining impurity thermodynamics in such settings remain scarce. Here, we…

强关联电子 · 物理学 2026-01-09 Tao Yang , Z. Y. Xie , Rui Wang , Baigeng Wang

The numerical renormalization group (NRG) is tailored to describe interacting impurity models in equilibrium, but faces limitations for steady-state nonequilibrium, arising, e.g., due to an applied bias voltage. We show that these…

强关联电子 · 物理学 2019-01-04 Frauke Schwarz , Ireneusz Weymann , Jan von Delft , Andreas Weichselbaum

Exploiting symmetries in the numerical renormalization group (NRG) method significantly enhances performance by improving accuracy, increasing computational speed, and optimizing memory efficiency. Published codes focus on continuous…

强关联电子 · 物理学 2024-09-19 Aitor Calvo-Fernández , María Blanco-Rey , Asier Eiguren

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.}…

强关联电子 · 物理学 2012-01-11 Hermann Freire , Eberth Corrêa

Using non-equilibrium renormalized perturbation theory to second order in the renormalized Coulomb repulsion, we calculate the lesser $\Sigma^<$ and and greater $\Sigma^>$ self-energies of the impurity Anderson model, which describes the…

介观与纳米尺度物理 · 物理学 2014-03-17 A. A. Aligia

We present the $T$-flow renormalization group method, which computes the memory kernel for the density-operator evolution of an open quantum system by lowering the physical temperature $T$ of its environment. This has the key advantage that…

量子物理 · 物理学 2022-04-20 K. Nestmann , M. R. Wegewijs

We study a Kondo impurity model with additional uniaxial anisotropy D in a non-zero magnetic field B using the Numerical Renormalization Group (NRG). The ratio g_e/g_S of electron and impurity g-factor is regarded as a free parameter and,…

强关联电子 · 物理学 2013-06-21 M. Höck , J. Schnack

The impurity Green function and dynamical susceptibilties for the two-channel Anderson impurity model are calculated. An exact expression for the self-energy of the impurity Green function is derived. The imaginary part of the self-energy…

强关联电子 · 物理学 2007-05-23 Frithjof B. Anders

We introduce a quantum Monte Carlo technique to calculate exactly at finite temperatures the Green function of a fermionic quantum impurity coupled to a bosonic field. While the algorithm is general, we focus on the single impurity Anderson…

介观与纳米尺度物理 · 物理学 2009-11-11 Liliana Arrachea , Marcelo J. Rozenberg

Solving the Anderson impurity model typically involves a two-step process, where one first calculates the ground state of the Hamiltonian, and then computes its dynamical properties to obtain the Green's function. Here we propose a hybrid…

Wilson's numerical renormalization group (NRG) method for the calculation of dynamic properties of impurity models is generalized to investigate the effective impurity model of the dynamical mean field theory at finite temperatures. We…

强关联电子 · 物理学 2009-10-31 R. Bulla , T. A. Costi , D. Vollhardt

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…

强关联电子 · 物理学 2009-11-07 A. Hewson , D. Meyer

The numerical renormalization group method is used to investigate zero temperature phase transitions in quantum impurity systems, in particular in the particle-hole symmetric soft-gap Anderson model. The model displays two stable phases…

强关联电子 · 物理学 2007-05-23 Hyun-Jung Lee , Ralf Bulla , Matthias Vojta

We extend finite-temperature tensor network methods to compute Matsubara imaginary-time correlation functions, building on the minimally entangled typical thermal states (METTS) and purification algorithms. While imaginary-time correlation…

强关联电子 · 物理学 2022-05-18 Daniel Bauernfeind , Xiaodong Cao , E. Miles Stoudenmire , Olivier Parcollet