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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 question of how localized electrons interact with delocalized electrons is central to many problems at the forefront of solid state physics. The simplest example is the Kondo phenomenon, which occurs when an impurity atom with an…

Strongly Correlated Electrons · Physics 2009-10-30 D. Goldhaber-Gordon , Hadas Shtrikman , D. Mahalu , David Abusch-Magder , U. Meirav , M. A. Kastner

We consider the motion of a spin-1/2 impurity in a one-dimensional gas of spin-1/2 fermions. For antiferromagnetic interaction between the impurity and the fermions, the low temperature behavior of the system is governed by the two-channel…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Austen Lamacraft

We investigate a scattering of electron which is injected individually into an empty ballistic channel containing a cavity that is Coulomb coupled to a quantum ring charged with a single-electron. We solve the time-dependent Schr\"odinger…

Mesoscale and Nanoscale Physics · Physics 2009-08-31 B. Szafran , M. R. Poniedzialek , F. M. Peeters

We study the Kondo resonance in a spin-1/2 single impurity Anderson model with a gapless conduction band using the equation of motion approach in order to obtain the impurity spectral function. We study two different scenarios for gapless…

Strongly Correlated Electrons · Physics 2009-10-20 R. G. Dias , Lidia del Rio , A. V. Goltsev

Using bosonization and path integral methods, we study general low temperature behavior of non-magnetic and magnetic impurity scattering in Tomonaga-Luttinger liquid, and calculate electron Green function for a general backward scattering…

Condensed Matter · Physics 2009-10-31 Yu-Liang Liu

We consider the Kondo effect in quantum dots coupled to Luttinger liquid leads, focussing on the case of repulsive interactions and spin SU(2) symmetry in the leads. We find that the system can flow to the 1-channel or 2-channel Kondo fixed…

Strongly Correlated Electrons · Physics 2007-05-23 Eugene H. Kim

We study the effect of electron-electron interactions in the electronic properties of a biased graphene bilayer. This system is a semiconductor with conduction and valence bands characterized by an unusual ``mexican-hat'' dispersion. We…

Mesoscale and Nanoscale Physics · Physics 2013-05-29 T. Stauber , N. M. R. Peres , F. Guinea , A. H. Castro Neto

We study the properties of Fermi Liquids with the microscopic constraint of a local self-energy. In this case the forward scattering sum-rule imposes strong limitations on the Fermi-Liquid parameters, which rule out any Pomeranchek…

Condensed Matter · Physics 2009-10-22 Jan R. Engelbrecht , Kevin S. Bedell

We consider the low-energy region of an array of Luttinger liquids coupled by a weak interchain hopping. The leading logarithmic divergences can be re-summed to all orders within a self-consistent perturbative expansion in the hopping, in…

Strongly Correlated Electrons · Physics 2009-10-31 Enrico Arrigoni

We show a strong indication of the existence of a large Fermi surface in the one-dimensional Kondo lattice model. The characteristic wave vector of the model is found to be $k_F=(1+\rho )\pi /2$, $\rho $ being the density of the conduction…

Condensed Matter · Physics 2009-10-28 S. Moukouri , L. G. Caron

The Kondo problem, which describes the interaction of a spin $s$ magnetic impurity with a free Fermi gas, is a classic example of strongly coupled physics. Historically, the problem has been solved by Wilson's numerical renormalization…

Strongly Correlated Electrons · Physics 2024-08-26 Abijith Krishnan , Max A. Metlitski

We evaluate the low-temperature conductance of a weakly interacting one-dimensional helical liquid without axial spin symmetry. The lack of that symmetry allows for inelastic backscattering of a single electron, accompanied by…

Mesoscale and Nanoscale Physics · Physics 2012-05-07 Thomas L. Schmidt , Stephan Rachel , Felix von Oppen , Leonid I. Glazman

We investigate the transmission of electrons through a quantum point contact by using a quasi-one-dimensional model with a local bound state below the band bottom. While the complete transmission in lower channels gives rise to plateaus of…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Ye Xiong , X. C. Xie , Shi-jie Xiong

By using unbiased continuos-space quantum Monte Carlo simulations, we investigate the ground state properties of a one-dimensional repulsive Fermi gas subjected to a commensurate periodic optical lattice (OL) of arbitrary intensity. The…

Quantum Gases · Physics 2017-08-23 Sebastiano Pilati , Luca Barbiero , Rosario Fazio , Luca Dell'Anna

We study an atomic Fermi gas interacting through repulsive contact forces in a one dimensional harmonic trap. Bethe-Ansatz solutions lead to an inhomogeneous Tomonaga-Luttinger model for the low energy excitations. The equations of motion…

Strongly Correlated Electrons · Physics 2007-05-23 Lars Kecke , Hermann Grabert , Wolfgang Häusler

We demonstrate that electrostatic interactions between helical electrons at the edge of a quantum spin Hall insulator and a dynamical impurity can induce quasi-elastic backscattering. Modelling the impurity as a two-level system, we show…

Mesoscale and Nanoscale Physics · Physics 2021-07-07 Max McGinley , Nigel R. Cooper

We consider the Fermi polaron problem of an impurity hopping around a two-dimensional square lattice and interacting with a sea of fermions at given filling factor. When the interaction is attractive, we find standard Fermi polaron…

Quantum Gases · Physics 2024-08-21 Hui Hu , Jia Wang , Xia-Ji Liu

The Kondo effect in a Tomonaga-Luttinger liquid ($U<<t$) is studied by using the non-Abelian bosonization. The $q=2k_F$ enhanced spin fluctuations generate a special Kondo effect, for any sign of the exchange coupling $J_K$…

Strongly Correlated Electrons · Physics 2007-05-23 K. Le Hur

High quality single wall carbon nanotube quantum dots have been made showing both metallic and semiconducting behavior. Some of the devices are identified as small band gap semiconducting nanotubes with relatively high broad conductance…

Mesoscale and Nanoscale Physics · Physics 2007-11-14 K. Grove-Rasmussen , H. I. Jørgensen , P. E. Lindelof