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Related papers: Fermi liquid theory for SU(N) Kondo model

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Using a Fermi liquid approach, we provide a comprehensive treatment of the current and current noise through a quantum dot whose low-energy behaviour corresponds to an SU($N$) Kondo model, focusing on the case N=4 relevant to carbon…

Mesoscale and Nanoscale Physics · Physics 2009-11-23 Christophe Mora , Pavel Vitushinsky , Xavier Leyronas , Aashish A. Clerk , Karyn Le Hur

We generalize Nozi\`eres' Fermi-liquid theory for the low-energy behavior of the Kondo model to that of the single-impurity Anderson model. In addition to the electrons' phase shift at the Fermi energy, the low-energy Fermi-liquid theory is…

Mesoscale and Nanoscale Physics · Physics 2015-08-26 Christophe Mora , Catalin Pascu Moca , Jan von Delft , Gergely Zarand

By applying methods of integrable quantum field theory to the Kondo problem, we develop a systematic perturbation expansion near the IR (strong coupling) fixed point. This requires the knowledge of an infinity of irrelevant operators and…

Condensed Matter · Physics 2009-10-31 F. Lesage , H. Saleur

A Fermi Liquid theory is developed for the persistent current past a side coupled quantum dot yielding analytical predictions for the behavior of the first two harmonics of the persistent current as a function of applied magnetic flux. The…

Strongly Correlated Electrons · Physics 2007-05-23 Ian Affleck , Erik S. Sørensen

We study the higher-order Fermi-liquid relations of Kondo systems for arbitrary impurity-electron fillings, extending the many-body quantum theoretical approach of Yamada-Yosida. It includes partly a microscopic clarification of the related…

Mesoscale and Nanoscale Physics · Physics 2018-03-28 Akira Oguri , A. C. Hewson

We review a recently developed method, based on an exact auxiliary boson representation, to describe both Fermi liquid and non-Fermi liquid behavior in quantum impurity systems. Coherent spin and charge fluctuation processes are taken into…

Strongly Correlated Electrons · Physics 2007-05-23 J. Kroha , P. Wölfle

We extend the microscopic Fermi-liquid theory for the Anderson impurity [Phys.\ Rev.\ B {\bf 64}, 153305 (2001)] to explore non-equilibrium transport at finite magnetic fields. Using the Ward identities in the Keldysh formalism with the…

Mesoscale and Nanoscale Physics · Physics 2020-07-24 Akira Oguri , A. C. Hewson

We report on exact results for the low-temperature thermodynamics of a spin-$\frac{1}{2}$ magnetic impurity coupled to a one-dimensional interacting electron system. By using boundary conformal field theory, we show that there are only two…

Condensed Matter · Physics 2009-10-28 Per Frojdh , Henrik Johannesson

We study the three-body Fermi liquid effects in the SU($N$) Anderson impurity model in the strong interaction limit where the occupation number $N_d^{}$ of the impurity levels varies over the range of $0<N_d^{}<1$. The three-body…

Mesoscale and Nanoscale Physics · Physics 2025-06-06 Kaiji Motoyama , Yoshimichi Teratani , Kazuhiko Tsutsumi , Kohei Wake , Ryosuke Kobayashi , Rui Sakano , Akira Oguri

Despite the fact that the low energy behavior of the basic Kondo model cannot be studied perturbatively it was eventually shown by Wilson, Anderson, Nozieres and others to have a simple "local Fermi liquid theory" description. That is,…

Strongly Correlated Electrons · Physics 2009-11-10 Ian Affleck

We present a microscopic Fermi-liquid view on the low-energy transport through an Anderson impurity with $N$ discrete levels, at arbitrary electron filling $N_d$. It is applied to nonequilibrium current fluctuations, for which the…

Mesoscale and Nanoscale Physics · Physics 2020-11-18 Yoshimichi Teratani , Rui Sakano , Akira Oguri

We consider a version of the symmetric Anderson impurity model (compactified) which has a non-Fermi liquid weak coupling regime. We find that in the Majorana fermion representation, perturbation theory can be conveniently developed in terms…

Condensed Matter · Physics 2009-10-28 Guang-Ming Zhang , A. C. Hewson

We theoretically study an emergent SU(2) symmetry which is suggested by recent magneto-transport measurements, carried out near two electrons filling of a carbon nanotube quantum dot. It emerges in the case where the spin and orbital Zeeman…

Mesoscale and Nanoscale Physics · Physics 2016-09-02 Yoshimichi Teratani , Rui Sakano , Ryo Fujiwara , Tokuro Hata , Tomonori Arakawa , Meydi Ferrier , Kensuke Kobayashi , Akira Oguri

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 2007-05-23 M. Lavagna , A. Jerez , D. Bensimon

We present a comprehensive Fermi-liquid description for thermoelectric transport and current noise, applicable to multilevel quantum dots (QD) and magnetic alloys (MA) without electron-hole or time-reversal symmetry. Our formulation for the…

Mesoscale and Nanoscale Physics · Physics 2024-11-12 Yoshimichi Teratani , Kazuhiko Tsutsumi , Kaiji Motoyama , Rui Sakano , Akira Oguri

In this report, we describe a recent development in a Fermi liquid theory for the Kondo effect in quantum dots under a finite bias voltage $V$. Applying the microscopic theory of Yamada and Yosida to a nonequilibrium steady state, we derive…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Akira Oguri

We investigate thermoelectric transport through a SU(N) quantum impurity in the Kondo regime. The strong coupling fixed point theory is described by the local Fermi-liquid paradigm. Using Keldysh technique we analyse the electric current…

Mesoscale and Nanoscale Physics · Physics 2017-11-07 D. B. Karki , M. N. Kiselev

We reformulate the two-channel Kondo model to explicitly remove the unscattered charge degrees of freedom. This procedure permits us to move the non-Fermi liquid fixed point to infinite coupling where we can apply a perturbative…

Condensed Matter · Physics 2010-02-18 P. Coleman , L. Ioffe , A. M. Tsvelik

We consider a quantum dot with ${\cal K}{\geq} 2$ orbital levels occupied by two electrons connected to two electric terminals. The generic model is given by a multi-level Anderson Hamiltonian. The weak-coupling theory at the particle-hole…

Mesoscale and Nanoscale Physics · Physics 2018-05-04 D. B. Karki , Christophe Mora , Jan von Delft , Mikhail N. Kiselev

We introduce a model for Ce$^{3+}$ impurities in cubic metals which exhibits competition between the Fermi-liquid fixed point of the single channel Kondo model and the non-Fermi-liquid fixed point of the two- and three-channel Kondo models.…

Condensed Matter · Physics 2009-10-22 Tae-Suk Kim , D. L. Cox
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