Numerical renormalization group method for quantum impurity systems

R Bulla, TA Costi, T Pruschke - Reviews of Modern Physics, 2008 - APS
In the early 1970s, Wilson developed the concept of a fully nonperturbative renormalization
group transformation. When applied to the Kondo problem, this numerical renormalization …

Quantum cluster theories

T Maier, M Jarrell, T Pruschke, MH Hettler - Reviews of Modern Physics, 2005 - APS
This article reviews quantum cluster theories, a set of approximations for infinite lattice
models which treat correlations within the cluster explicitly, and correlations at longer length …

Energy resolution and discretization artifacts in the numerical renormalization group

R Žitko, T Pruschke - Physical Review B—Condensed Matter and Materials …, 2009 - APS
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 …

Renormalization-group study of Anderson and Kondo impurities in gapless Fermi systems

C Gonzalez-Buxton, K Ingersent - Physical Review B, 1998 - APS
Thermodynamic properties are presented for four magnetic impurity models describing the
scattering of fermions from a localized orbital at an energy-dependent rate Γ (ε) which …

Dynamical mean-field theory plus numerical renormalization-group study of spin-orbital separation in a three-band Hund metal

KM Stadler, ZP Yin, J Von Delft, G Kotliar… - Physical review …, 2015 - APS
We show that the numerical renormalization group is a viable multi-band impurity solver for
dynamical mean-field theory (DMFT), offering unprecedented real-frequency spectral …

Hierarchical Liouville-Space Approach for Accurate and Universal Characterization<? format?> of Quantum Impurity Systems

ZH Li, NH Tong, X Zheng, D Hou, JH Wei, J Hu… - Physical Review Letters, 2012 - APS
A hierarchical equations of motion based numerical approach is developed for accurate and
efficient evaluation of dynamical observables of strongly correlated quantum impurity …

Numerical renormalization group for quantum impurities in a bosonic bath

R Bulla, HJ Lee, NH Tong, M Vojta - Physical Review B—Condensed Matter …, 2005 - APS
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 …

Emergent SU (4) Kondo physics in a spin–charge-entangled double quantum dot

AJ Keller, S Amasha, I Weymann, CP Moca, IG Rau… - Nature Physics, 2014 - nature.com
Quantum impurity models, which describe how a local degree of freedom interacts with a
continuum, are central to condensed-matter physics. Such models may be naturally …

Hundness versus Mottness in a three-band Hubbard–Hund model: On the origin of strong correlations in Hund metals

KM Stadler, G Kotliar, A Weichselbaum, J von Delft - Annals of Physics, 2019 - Elsevier
Hund metals are multi-orbital systems with moderate Coulomb interaction, U, among
charges and sizeable Hund's rule coupling, J (< U), that aligns the spins in different orbitals …

HEOM‐QUICK2: A general‐purpose simulator for fermionic many‐body open quantum systems—An update

D Zhang, L Ye, J Cao, Y Wang, RX Xu… - Wiley …, 2024 - Wiley Online Library
Many‐body open quantum systems (OQSs) have a profound impact on various
subdisciplines of physics, chemistry, and biology. Thus, the development of a computer …