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 …

Exotic Kondo effects in metals: magnetic ions in a crystalline electric field and tunnelling centres

DL Cox, A Zawadowski - Advances in Physics, 1998 - Taylor & Francis
The ordinary single-channel Kondo model consists of one or more spin-½ local moments
interacting antiferromagnetically with conduction electrons in a metal. This model has …

Mapping of the two-channel Kondo problem to a resonant-level model

VJ Emery, S Kivelson - Physical Review B, 1992 - APS
Abelian bosonization is used to map the two-channel Kondo problem into a resonant-level
Hamiltonian, which is equivalent to noninteracting fermions for a particular value of the …

Numerical renormalization group approach to Green's functions for quantum impurity models

R Peters, T Pruschke, FB Anders - Physical Review B—Condensed Matter and …, 2006 - APS
We present a technique for the calculation of dynamical correlation functions of quantum
impurity systems in equilibrium with Wilson's numerical renormalization group. Our …

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 …

Relevance of anisotropy in the multichannel Kondo effect: Comparison of conformal field theory and numerical renormalization-group results

I Affleck, AWW Ludwig, HB Pang, DL Cox - Physical Review B, 1992 - APS
The multichannel Kondo model exhibits non-Fermi-liquid behavior in the overscreened
case, when the number of channels, k, is greater than twice the size of the impurity spin, s …

Observations of Kondo scattering without magnetic impurities: A point contact study of two-level tunneling systems in metals

DC Ralph, RA Buhrman - Physical review letters, 1992 - APS
We study singularities in the differential resistance of metal point contacts containing
structural disorder. We find zero-bias features which are well described by theories in which …

Multichannel Kondo problem and some applications

P Schlottmann, PD Sacramento - Advances in Physics, 1993 - Taylor & Francis
We review analytical and numerical results derived from the Bethe ansatz solution of the n-
channel Kondo model of arbitrary spin S as a function of temperature, external field, impurity …

The two-channel Kondo route to non-Fermi-liquid metals

DL Cox, M Jarrell - Journal of Physics: Condensed Matter, 1996 - iopscience.iop.org
We present a pedagogical and critical overview of the two-channel Kondo model and its
possible relevance to a number of non-Fermi-liquid alloys and compounds. We survey the …

Two‐Channel Kondo Physics: From Engineered Structures to Quantum Materials Realizations

S Kirchner - Advanced Quantum Technologies, 2020 - Wiley Online Library
The Kondo effect assumes a central role in condensed matter physics. It describes the
exchange scattering of electrons with a localized moment and occurs in a wide range of …