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This article summarizes our understanding of the Kondo effect in graphene, primarily from a theoretical perspective. We shall describe different ways to create magnetic moments in graphene, either by adatom deposition or via defects. For…

Strongly Correlated Electrons · Physics 2013-02-18 Lars Fritz , Matthias Vojta

We study theoretically the Kondo effect for a magnetic adatom on graphene using the Anderson model.Upon obtaining the Green's function of the impurity to higher order contributions in the hybridization, we calculated analytically the…

Strongly Correlated Electrons · Physics 2011-10-12 Zhen-Gang Zhu , Jamal Berakdar

We consider the Kondo effect arising from a hydrogen impurity in graphene. As a first approximation, the strong covalent bond to a carbon atom removes that carbon atom without breaking the $C_{3}$ rotation symmetry, and we only retain the…

Strongly Correlated Electrons · Physics 2019-10-02 Zheng Shi , Emilian M. Nica , Ian Affleck

The emergence of flat bands in twisted bilayer graphene at the magic angle can be understood in terms of a vanishing Fermi velocity of the Dirac cone. This is associated with van Hove singularities approaching the Fermi energy and becoming…

Strongly Correlated Electrons · Physics 2023-06-05 A. S. Shankar , D. O. Oriekhov , Andrew K. Mitchell , L. Fritz

We investigate the many-body effects of a magnetic adatom in ferromagnetic graphene by using the numerical renormalization group method. The nontrivial band dispersion of ferromagnetic graphene gives rise to interesting Kondo physics…

Strongly Correlated Electrons · Physics 2020-06-25 Gao-Yang Li , Tie-Feng Fang , Ai-Min Guo , Qing-Feng Sun

Kondo physics in doped monolayer graphene is predicted to exhibit unusual features due to the linear vanishing of the pristine material's density of states at the Dirac point. Despite several attempts, conclusive experimental observation of…

Mesoscale and Nanoscale Physics · Physics 2019-05-15 Dawei Zhai , Kevin Ingersent , Sergio E. Ulloa , Nancy Sandler

According to Anderson's orthogonality catastrophe, the overlap of the $N$-particle ground states of a free Fermi gas with and without an (electric) potential decays in the thermodynamic limit. For the finite one-dimensional system various…

Mathematical Physics · Physics 2015-08-12 Hans Konrad Knörr , Peter Otte , Wolfgang Spitzer

The Fermi edge singularity and the Anderson orthogonality catastrophe describe the universal physics which occurs when a Fermi sea is locally quenched by the sudden switching of a scattering potential, leading to a brutal disturbance of its…

Mesoscale and Nanoscale Physics · Physics 2015-06-12 A. Sindona , J. Goold , N. Lo Gullo , S. Lorenzo , F. Plastina

We show theoretically that graphene, which exhibits a massless Dirac like spectrum for its electrons, can exhibit unconventional Kondo effect that can be tuned by an experimentally controllable applied gate voltage. We demonstrate the…

Strongly Correlated Electrons · Physics 2009-11-13 K. Sengupta , G. Baskaran

Charge impurities in graphene can host an infinite family of Rydberg-like resonance states of massless Dirac particles. These states, appearing for supercritical charge, are described by Bohr-Sommerfeld quantization of collapsing classical…

Mesoscale and Nanoscale Physics · Physics 2007-12-15 A. V. Shytov , M. I. Katsnelson , L. S. Levitov

We investigate the resistivity and dephasing rate in the Kondo regime due to magnetic impurities in graphene with different chemial potentials ($\mu$). The Kondo effect due to either carbon vacancies or magnetic adatoms in graphene is…

Mesoscale and Nanoscale Physics · Physics 2014-05-20 Po-Wei Lo , Guang-Yu Guo , Frithjof B. Anders

We study the Anderson orthogonality catastrophe (AOC) in finite conductors with diffusive disorder. The disorder averaged logarithm of $\chi$, the overlap between the ground states before and after adding a static impurity, is found to…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Yuval Gefen , Richard Berkovits , Igor V. Lerner , Boris L. Altshuler

Graphene is a model system for the study of electrons confined to a strictly two-dimensional layer1 and a large number of electronic phenomena have been demonstrated in graphene, from the fractional2, 3 quantum Hall effect to…

Mesoscale and Nanoscale Physics · Physics 2015-05-18 Jian-Hao Chen , W. G. Cullen , E. D. Williams , M. S. Fuhrer

We develop a mean-field theory of a novel Kondo effect emerging in systems without a Fermi surface, which instead emerges under strong magnetic fields. We determine the magnitude of the Kondo condensate which is a particle pairing composed…

High Energy Physics - Phenomenology · Physics 2023-12-07 Koichi Hattori , Daiki Suenaga , Kei Suzuki , Shigehiro Yasui

In this review we focus on the effect of the Dirac nature of graphene quasiparticles on two separate aspects. The first of these involves transport across superconducting graphene junctions with barriers of thickness $d_0$ and arbitrary…

Strongly Correlated Electrons · Physics 2012-09-11 M. Maiti , K. Saha , K. Sengupta

In the vicinity of the Fermi energy, the band structure of graphene is well described by a Dirac equation. Impurities will generally induce both a scalar potential as well as a (fictitious) gauge field acting on the Dirac fermions. We show…

Mesoscale and Nanoscale Physics · Physics 2010-08-12 Eros Mariani , Leonid I. Glazman , Alex Kamenev , Felix von Oppen

We consider the problem of electron energy states related to strongly localized potential of a single impurity in graphene. Our model simulates the effect of impurity atom substituting the atom of carbon, on the energy spectrum of electrons…

Strongly Correlated Electrons · Physics 2015-05-19 M Inglot , V K Dugaev

An effective model that describes the Kondo effect due to a point defect in graphene is developed, taking account of the electronic state and the lattice structure of the defect. It is shown that this model can be transformed into a…

Materials Science · Physics 2012-05-29 Taro Kanao , Hiroyasu Matsuura , Masao Ogata

The orthogonality catastrophe (OC) problem is considered solved for 50 years. It has important consequences for numerous dynamic phenomena in fermionic systems, including Kondo effect, X-ray spectroscopy, and quantum diffusion of…

Strongly Correlated Electrons · Physics 2019-06-13 Igor S. Tupitsyn , Nikolay V. Prokof'ev

We study the Kondo effect of a single magnetic adatom on the surface of graphene. It was shown that the unique linear dispersion relation near the Dirac points in graphene makes it more easy to form the local magnetic moment, which simply…

Strongly Correlated Electrons · Physics 2015-06-04 Lin Li , Yang-Yang Ni , Yin Zhong , Tie-Feng Fang , Hong-Gang Luo
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