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A Coulomb blockaded $M$-Majorana island coupled to normal metal leads realizes a novel type of Kondo effect where the effective impurity "spin" transforms under the orthogonal group $SO(M)$. The impurity spin stems from the non-local…

Strongly Correlated Electrons · Physics 2023-02-15 Guangjie Li , Yuval Oreg , Jukka I. Väyrynen

The traditional multichannel Kondo effect takes place when several gapless metallic electronic channels interact with a localized spin-$S$ impurity, with the number of channels $n$ exceeding the size of the impurity spin, $n>2S$, leading to…

Strongly Correlated Electrons · Physics 2025-12-16 Pradip Kattel , Abay Zhakenov , Natan Andrei

The topological Kondo effect is a genuine manifestation of the nonlocality of Majorana modes. We investigate its out-of-equilibrium signatures in a model with a Cooper-pair box hosting four of these topological modes, each connected to a…

Strongly Correlated Electrons · Physics 2023-11-27 Matteo M. Wauters , Chia-Min Chung , Lorenzo Maffi , Michele Burrello

We study a generalized multichannel single-impurity Kondo model, in which the impurity spin is described by a representation of the SU(N) group which combines bosonic and fermionic degrees of freedom. The impurity spin states are described…

Strongly Correlated Electrons · Physics 2009-11-11 Damien Bensimon , Andres Jerez , Mireille Lavagna

Over-screened Kondo effect is feasible in carbon nanotube quantum dot junction hosting a spin $\tfrac{1}{2}$ atom with single $s$-wave valence electron (e.g Au). The idea is to use the two valleys as two symmetry protected flavor quantum…

Strongly Correlated Electrons · Physics 2014-08-22 Igor Kuzmenko , Tetyana Kuzmenko , Yshai Avishai

We study multiterminal Majorana and conventional superconducting islands in the vicinity of the charge degeneracy point using bosonization and numerical renormalization group. Both models map to the multichannel charge Kondo problem, but…

Mesoscale and Nanoscale Physics · Physics 2019-01-23 Michał Papaj , Zheng Zhu , Liang Fu

We study Kondo screening obtained by coupling Majorana bound states, located on a topological superconducting island, to interacting electronic reservoirs. At the charge degeneracy points of the island, we formulate an exact mapping onto…

Mesoscale and Nanoscale Physics · Physics 2016-12-07 Loïc Herviou , Karyn Le Hur , Christophe Mora

Tunnelling impurities in metals have been known for some time to have the potential for exhibiting Kondo-like physics. However previous models based on an impurity hopping between two equivalent positions have run into trouble due to the…

Condensed Matter · Physics 2009-10-28 Aris L. Moustakas , Daniel S. Fisher

The multichannel Kondo model with SU(N) spin symmetry and SU(K) channel symmetry is considered. The impurity spin is chosen to transform as an antisymmetric representation of SU(N), corresponding to a fixed number of Abrikosov fermions…

Strongly Correlated Electrons · Physics 2009-10-30 Olivier Parcollet , Antoine Georges , Gabriel Kotliar , Anirvan Sengupta

A detailed and comprehensive study of the one-impurity multichannel Kondo model is presented. In the limit of a large number of conduction electron channels $k \gg 1$, the low energy fixed point is accessible to a renormalization group…

Condensed Matter · Physics 2009-10-22 Junwu Gan

We propose to use residual parafermions of the overscreened Kondo effect for topological quantum computation. A superconducting proximity gap of $\Delta<T_K$ can be utilized to isolate the parafermion from the continuum of excitations and…

Strongly Correlated Electrons · Physics 2020-06-19 Yashar Komijani

We discuss a multichannel SU(N) Kondo model which displays non-trivial zero-temperature phase transitions due to a conduction electron density of states vanishing with a power law at the Fermi level. In a particular large-N limit, the…

Strongly Correlated Electrons · Physics 2009-11-07 Matthias Vojta

Impurity four- and six-level Kondo model, in which an ion is tunneling among four- and six-stable points and interacting with surrounding conduction electrons, are investigated by using the perturbative and numerical renormalization group…

Strongly Correlated Electrons · Physics 2015-06-25 Kazumasa Hattori , Yosuke Hirayama , Kazumasa Miyake

The Kondo effect is an archetypical phenomenon in the physics of strongly correlated electron systems. Recent attention has focused on the application of Kondo physics to quantum information science by exploiting overscreened Kondo…

Strongly Correlated Electrons · Physics 2022-11-11 Elio J. König , Alexei M. Tsvelik

We study an extended SU(N) single-impurity Kondo model in which the impurity spin is described by a combination of Abrikosov fermions and Schwinger bosons. Our aim is to describe both the quasiparticle-like excitations and the locally…

Strongly Correlated Electrons · Physics 2013-05-29 Andres Jerez , Mireille Lavagna , Damien Bensimon

We investigate the equilibrium and non-equilibrium transport through a quantum dot in the Kondo regime, embedded between a normal metal and a topological superconductor supporting Majorana bound states at its end points. We find that the…

Mesoscale and Nanoscale Physics · Physics 2014-11-07 Razvan Chirla , I. V. Dinu , V. Moldoveanu , Catalin Pascu Moca

Multiple conduction channels interacting with a quantum impurity -- a spin in the conventional ``multi-channel Kondo effect'' or a topological mesoscopic device (``topological Kondo effect'') -- has been proposed as a platform to realize…

Strongly Correlated Electrons · Physics 2023-05-12 Guangjie Li , Elio J. König , Jukka I. Väyrynen

In a tunneling experiment across a quantum dot it is possible to change the coupling between the dot and the contacts at will, by properly tuning the trasparency of the barriers and the temperature. Gate voltages allow for changes of the…

Strongly Correlated Electrons · Physics 2009-11-10 Domenico Giuliano , Adele Naddeo , Arturo Tagliacozzo

We investigate the low-temperature dynamics of single electron boxes and transistors close to their degeneracy point using renormalization group methods. We show that intermode scattering is a relevant perturbation and always drives the…

Strongly Correlated Electrons · Physics 2007-05-23 Gergely Zarand , Gergely T. Zimanyi , Frank Wilhelm

By properly generalizing Nozie`res' Fermi liquid theory, we construct an Hamiltonian approach to the scattering of conduction electrons off a spin-1/2 impurity in the ovescreneed Kondo regime, as T -> 0. We derive the S-matrix at the…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Domenico Giuliano , Arturo Tagliacozzo
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