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The numerical renormalization group (NRG) has been widely used as a magnetic impurity solver since the pioneering works by Wilson. Over the past decades, a significant attention has been focused on the application of symmetries in order to…

强关联电子 · 物理学 2024-10-17 Aitor Calvo-Fernández , María Blanco-Rey , Asier Eiguren

Quantum impurity problems can be solved using the numerical renormalization group (NRG), which involves discretizing the free conduction electron system and mapping to a `Wilson chain'. It was shown recently that Wilson chains for different…

强关联电子 · 物理学 2016-06-08 K. M. Stadler , A. K. Mitchell , J. von Delft , A. Weichselbaum

Wilson's Numerical Renormalization Group (NRG) is so far the only nonperturbative technique that can reliably access low-energy properties of quantum impurity systems. We present a recent extension of the method, the DM-NRG, which yields…

介观与纳米尺度物理 · 物理学 2007-05-23 Walter Hofstetter

We use the numerical renormalization group method (NRG) to investigate a single-impurity Anderson model with a coupling of the impurity to a superconducting host. Analysis of the energy flow shows, in contrast to previous belief, that NRG…

强关联电子 · 物理学 2015-05-13 Theresa Hecht , Andreas Weichselbaum , Jan von Delft , Ralf Bulla

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 (NRG) is rephrased as a variational method with the cost function given by the sum of all the energies of the effective low-energy Hamiltonian. This allows to systematically improve the spectrum obtained…

量子物理 · 物理学 2013-05-23 Iztok Pizorn , Frank Verstraete

We generalize the spectral sum rule preserving density matrix numerical renormalization group (DM-NRG) method in such a way that it can make use of an arbitrary number of not necessarily Abelian, local symmetries present in the quantum…

介观与纳米尺度物理 · 物理学 2009-11-13 A. I. Toth , C. P. Moca , O. Legeza , G. Zarand

In the beginning of the 1970's, Wilson developed the concept of a fully non-perturbative renormalization group transformation. Applied to the Kondo problem, this numerical renormalization group method (NRG) gave for the first time the full…

强关联电子 · 物理学 2008-04-22 Ralf Bulla , Theo Costi , Thomas Pruschke

We propose a new concept upon the renormalization group (RG) procedure for an interacting many-electron correlated system in the framework of natural orbitals, and formulate an algorithm for this RG approach. To demonstrate its…

强关联电子 · 物理学 2014-02-17 Rong-Qiang He , Zhong-Yi Lu

The Numerical Renormalization Group method (NRG) has been developed by Wilson in the 1970's to investigate the Kondo problem. The NRG allows the non-perturbative calculation of static and dynamic properties for a variety of impurity models.…

强关联电子 · 物理学 2009-10-31 R. Bulla

Numerical renormalization group (NRG) calculations of quantum impurity models, based on a logarithmic discretization in energy of electronic or bosonic Hamiltonians, provide a powerful tool to describe physics involving widely separated…

强关联电子 · 物理学 2009-11-13 Axel Freyn , Serge Florens

In this paper we introduce a new approach for calculating dynamical properties within the numerical renormalization group. It is demonstrated that the method previously used fails for the Anderson impurity in a magnetic field due to the…

强关联电子 · 物理学 2009-10-31 Walter Hofstetter

Quantum impurity models describe interactions between some local degrees of freedom and a continuum of non-interacting fermionic or bosonic states. The investigation of quantum impurity models is a starting point towards the understanding…

强关联电子 · 物理学 2008-09-19 O. Legeza , C. P. Moca , A. I. Toth , I. Weymann , G. Zarand

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

We present a numerical implementation of the renormalization group (RG) for partial differential equations, constructing similarity solutions and travelling waves. We show that for a large class of well-localized initial conditions,…

chao-dyn · 物理学 2009-10-22 Lin-Yuan Chen , Nigel Goldenfeld

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…

强关联电子 · 物理学 2026-01-27 Danqing Hu , Jiangfan Wang , Yi-feng Yang

We present a unified framework for renormalization group methods, including Wilson's numerical renormalization group (NRG) and White's density-matrix renormalization group (DMRG), within the language of matrix product states. This allows…

强关联电子 · 物理学 2009-10-14 A. Weichselbaum , F. Verstraete , U. Schollwöck , J. I. Cirac , Jan von Delft

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

We present an efficient implementation of the Density Matrix Renormalization Group (DMRG) algorithm that includes an optimal ordering of the proton and neutron orbitals and an efficient expansion of the active space utilizing various…

核理论 · 物理学 2015-11-18 Ö. Legeza , L. Veis , A. Poves , J. Dukelsky

The interplay between the Kondo screening of quantum impurities (by the electronic channels to which they couple) and the interimpurity RKKY interactions (mediated by the same channels) has been extensively studied. However, the effect of…

强关联电子 · 物理学 2023-04-19 Matan Lotem , Eran Sela , Moshe Goldstein
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