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 …

Tensor product methods and entanglement optimization for ab initio quantum chemistry

S Szalay, M Pfeffer, V Murg, G Barcza… - … Journal of Quantum …, 2015 - Wiley Online Library
The treatment of high‐dimensional problems such as the Schrödinger equation can be
approached by concepts of tensor product approximation. We present general techniques …

Symmetry-protected exceptional rings in two-dimensional correlated systems with chiral symmetry

T Yoshida, R Peters, N Kawakami, Y Hatsugai - Physical Review B, 2019 - APS
Emergence of exceptional points in two dimensions is one of the remarkable phenomena in
non-Hermitian systems. We here elucidate the impacts of symmetry on the non-Hermitian …

Non-Hermitian perspective of the band structure in heavy-fermion systems

T Yoshida, R Peters, N Kawakami - Physical Review B, 2018 - APS
We analyze a two-dimensional Kondo lattice model with special emphasis on non-Hermitian
properties of the single-particle spectrum, following a recent proposal by Kozii and Fu. Our …

The density-matrix renormalization group in the age of matrix product states

U Schollwöck - Annals of physics, 2011 - Elsevier
The density-matrix renormalization group method (DMRG) has established itself over the
last decade as the leading method for the simulation of the statics and dynamics of one …

Sum-rule conserving spectral functions from the numerical renormalization group

A Weichselbaum, J Von Delft - Physical review letters, 2007 - APS
We show how spectral functions for quantum impurity models can be calculated very
accurately using a complete set of discarded numerical renormalization group eigenstates …

Simulating strongly correlated quantum systems with tree tensor networks

V Murg, F Verstraete, Ö Legeza, RM Noack - Physical Review B—Condensed …, 2010 - APS
We present a tree-tensor-network-based method to study strongly correlated systems with
nonlocal interactions in higher dimensions. Although the momentum-space and quantum …

Non-abelian symmetries in tensor networks: A quantum symmetry space approach

A Weichselbaum - Annals of Physics, 2012 - Elsevier
A general framework for non-abelian symmetries is presented for matrix-product and tensor-
network states in the presence of well-defined orthonormal local as well as effective basis …

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 …

Spin precession and real-time dynamics in the Kondo model: Time-dependent numerical renormalization-group study

FB Anders, A Schiller - Physical Review B—Condensed Matter and Materials …, 2006 - APS
A detailed derivation of the recently proposed time-dependent numerical renormalization-
group (TD-NRG) approach to nonequilibrium dynamics in quantum-impurity systems is …