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To study the impurity potential effect to the Kondo problem in a Luttinger liquid, we propose an integrable model of two interacting half-chains coupled with a single magnetic impurity ferromagnetically. It is shown that the scalar…

Condensed Matter · Physics 2009-10-31 Yupeng Wang , U. Eckern

A Bethe Ansatz solution of a (modified) Hubbard chain with a Kondo impurity of arbitrary spin S at a highly symmetric line of parameter space is proposed and explored. Our results confirm the existence of a strong-coupling (line of)…

Strongly Correlated Electrons · Physics 2009-10-31 P. -A. Bares , K. Grzegorczyk

It is well established that a correlated quantum impurity embedded in a metallic host can form the many-body Kondo state with itinerant electrons due to the effective antiferromagnetic coupling. Such effect is manifested spectroscopically…

Strongly Correlated Electrons · Physics 2014-02-07 M. Zapalska , T. Domanski

We consider the problem of a single particle interacting with $N$ identical fermions, at zero temperature and in one dimension. We calculate the binding energy as well as the effective mass of the single particle. We use an approximate…

Other Condensed Matter · Physics 2009-04-16 S. Giraud , R. Combescot

The splitting of the Kondo resonance in the density of states of an Anderson impurity in finite magnetic field is calculated from the exact Bethe-ansatz solution. The result gives an estimate of the electron spectral function for nonzero…

Strongly Correlated Electrons · Physics 2009-10-31 Joel E. Moore , Xiao-Gang Wen

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

Triangular symmetry stabilizes a novel non-Fermi-liquid phase in the three-impurity Kondo model with frustrating antiferromagnetic interactions between half-integer impurity spins. The phase arises without fine-tuning of couplings, and is…

Strongly Correlated Electrons · Physics 2007-05-23 Kevin Ingersent , Andreas W. W. Ludwig , Ian Affleck

Quantum impurity models are prevalent throughout many body physics, providing some prime examples of strongly correlated systems. Aside from being of great interest in themselves they can provide deep insight into the effects of strong…

Strongly Correlated Electrons · Physics 2020-01-08 Parameshwar R. Pasnoori , Colin Rylands , Natan Andrei

Using the perturbative scaling and the NRG, we study the characteristic energy scales in the Kondo impurity problem as a function of the exchange coupling constant $J$ and the conduction electron density. We discuss the relation between the…

Strongly Correlated Electrons · Physics 2016-09-28 Rok Zitko , Alen Horvat

We investigate the ground-state energy of a one-dimensional Fermi gas with two bosonic impurities. We consider spinless fermions with no fermion-fermion interactions. The fermion-impurity and impurity-impurity interactions are modelled with…

Quantum Gases · Physics 2019-12-18 D. Huber , H. -W. Hammer , A. G. Volosniev

We study the fate of the Kondo effect with one-dimensional conduction baths at very low densities, such that the system explores the bottom of the conduction band. This can involve either finite low densities, or a small number of fixed…

Mesoscale and Nanoscale Physics · Physics 2014-03-12 Yulia E. Shchadilova , Matthias Vojta , Masudul Haque

We address the problem of a magnetic impurity in a two dimensional $U(1)$ spin liquid where the spinons have gap-less excitations near the Fermi-surface and are coupled to an emergent gap-less gauge field. Using a large N expansion we…

Strongly Correlated Electrons · Physics 2015-05-20 P. Ribeiro , P. A. Lee

The conformal field theory (CFT) approach to Kondo problems, originally developed by Affleck and Ludwig (AL), has greatly advanced the fundamental knowledge of Kondo physics. The CFT approach to Kondo impurities is based on a necessary…

Strongly Correlated Electrons · Physics 2022-01-26 Peng Song , Haodong Ma , Rui Wang , Baigeng Wang

The SU(N) generalization of the multi-channel Kondo model with arbitrary rectangular impurity representations is considered by means of the Bethe Ansatz. The thermodynamics of the model is analyzed by introducing modified fusion equations…

Condensed Matter · Physics 2009-10-31 N. Andrei , P. Zinn-Justin

A many-body resonance emerges at the Fermi energy when an electron bath screens the magnetic moment of a half-filled impurity level. This Kondo effect, originally introduced to explain the abnormal resistivity behavior in bulk magnetic…

Mesoscale and Nanoscale Physics · Physics 2025-01-16 Camiel van Efferen , Jeison Fischer , Theo A. Costi , Achim Rosch , Thomas Michely , Wouter Jolie

It is well known that the ground states of a Fermi liquid with and without a single Kondo impurity have an overlap which decays as a power law of the system size, expressing the Anderson orthogonality catastrophe. Ground states with two…

Strongly Correlated Electrons · Physics 2015-03-02 Sergei L. Lukyanov , Hubert Saleur , Jesper L. Jacobsen , Romain Vasseur

The archetypal two-impurity Kondo problem in a serially-coupled double quantum dot is investigated in the presence of a thermal bias $\theta$. The slave-boson formulation is employed to obtain the nonlinear thermal and thermoelectrical…

Mesoscale and Nanoscale Physics · Physics 2018-09-12 Miguel A. Sierra , Rosa Lopez , Jong Soo Lim

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 (111) surface of Cu, Ag and Au is characterized by a band of surface Shockley states, with constant density of states beginning slightly below the Fermi energy. These states as well as bulk states hybridize with magnetic impurities…

Strongly Correlated Electrons · Physics 2017-02-01 J. Fernández , A. A. Aligia , P. Roura-Bas , J. A. Andrade

In this Rapid Communication, we investigate the universal properties of a spin-polarized two-component Fermi gas in one dimension (1D) using Bethe ansatz. We discuss the quantum phases and phase transitions by obtaining exact results for…

Quantum Gases · Physics 2016-10-12 Wen-Bin He , Yang-Yang Chen , Shizhong Zhang , Xi-Wen Guan