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 …

Non-perturbative methodologies for low-dimensional strongly-correlated systems: From non-abelian bosonization to truncated spectrum methods

AJA James, RM Konik, P Lecheminant… - Reports on Progress …, 2018 - iopscience.iop.org
We review two important non-perturbative approaches for extracting the physics of low-
dimensional strongly correlated quantum systems. Firstly, we start by providing a …

Physics of lateral triple quantum-dot molecules with controlled electron numbers

CY Hsieh, YP Shim, M Korkusinski… - Reports on Progress in …, 2012 - iopscience.iop.org
We review the recent progress in theory and experiments with lateral triple quantum dots
with controlled electron numbers down to one electron in each dot. The theory covers …

Isolating Kondo anyons for topological quantum computation

Y Komijani - Physical Review B, 2020 - APS
We propose to use residual anyons of the overscreened Kondo effect for topological
quantum computation. A superconducting proximity gap of Δ< TK can be utilized to isolate …

Topological Hunds rules and the electronic properties of a triple lateral quantum dot molecule

M Korkusinski, IP Gimenez, P Hawrylak, L Gaudreau… - Physical Review B, 2007 - APS
We analyze theoretically and experimentally the electronic structure and charging diagram
of three coupled lateral quantum dots filled with electrons. Using the Hubbard model and …

Magnetically tunable Kondo–Aharonov-Bohm effect in a triangular quantum dot

T Kuzmenko, K Kikoin, Y Avishai - Physical review letters, 2006 - APS
The role of discrete orbital symmetry in mesoscopic physics is manifested in a system
consisting of three identical quantum dots forming an equilateral triangle. Under a …

Universal transport signatures in two-electron molecular quantum dots: gate-tunable Hund's rule, underscreened Kondo effect and quantum phase transitions

S Florens, A Freyn, N Roch… - Journal of Physics …, 2011 - iopscience.iop.org
We review here some universal aspects of the physics of two-electron molecular transistors
in the absence of strong spin–orbit effects. Several recent quantum dot experiments have …

Multi-impurity chiral Kondo model: Correlation functions and anyon fusion rules

D Gabay, C Han, PLS Lopes, I Affleck, E Sela - Physical Review B, 2022 - APS
The multichannel Kondo model supports effective anyons on the partially screened impurity,
as suggested by its fractional impurity entropy. It was recently demonstrated for the multi …

Numerical analysis of the spatial range of the Kondo effect

CA Büsser, GB Martins, LC Ribeiro, E Vernek, EV Anda… - Physical Review B, 2010 - APS
The spatial length of the Kondo screening is still a controversial issue related to Kondo
physics. While renormalization-group and Bethe-Ansatz solutions have provided detailed …

Local moment formation and Kondo screening in impurity trimers

AK Mitchell, TF Jarrold, MR Galpin… - The Journal of Physical …, 2013 - ACS Publications
We study theoretically a triangular cluster of three magnetic impurities, hybridizing locally
with conduction electrons of a metallic host. Such a cluster is the simplest to exhibit …