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The Kondo effect has been playing an important role in strongly correlated electon systems. The important point is that the magnetic impurity in metals is a typical example of the Fermi liquid. In the system the local spin is conserved in…

Strongly Correlated Electrons · Physics 2009-11-10 Hiroshi Kontani , Kosaku Yamada

We investigate a system of three tunnel-coupled semiconductor quantum dots in a triangular geometry, one of which is connected to a metallic lead, in the regime where each dot is essentially singly occupied. Both ferro- and…

Strongly Correlated Electrons · Physics 2015-12-22 Andrew K. Mitchell , Thomas F. Jarrold , David E. Logan

We find the nonlinear conductance of a dissipative resonant level in the nonequilibrium steady state near its quantum critical point. The system consists of a spin-polarized quantum dot connected to two resistive leads that provide ohmic…

Mesoscale and Nanoscale Physics · Physics 2022-03-15 Gu Zhang , E. Novais , Harold U. Baranger

We investigate the charge fluctuations of a single-electron box (metallic grain) coupled to a lead via a smaller quantum dot in the Kondo regime. The most interesting aspect of this problem resides in the interplay between spin Kondo…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Karyn Le Hur , Pascal Simon , Laszlo Borda

We investigate the influence of an additional bosonic bath onto the real-time dynamics of a localized orbital coupled to conduction band with an energy-dependent coupling function $\Gamma(\varepsilon) \propto |\varepsilon|^r$. Recently, a…

Strongly Correlated Electrons · Physics 2015-12-22 Christian Kleine , Frithjof B. Anders

The linear and nonlinear transport properties of the single-electron transistor at the degeneracy point are investigated for the case of weak single-mode tunnel junctions. Two opposing scenarios are considered, distinguished by whether or…

Strongly Correlated Electrons · Physics 2007-05-23 Amnon Buxboim , Avraham Schiller

We consider a magnetic impurity coupled to both fermionic quasiparticles with a pseudogap density of states and bosonic spin fluctuations. Using renormalization group and large-N calculations we investigate the phase diagram of the…

Strongly Correlated Electrons · Physics 2007-05-23 Matthias Vojta , Marijana Kircan

Strange metals represent a foundational problem in quantum condensed matter physics, and heavy fermion systems provide a canonical setting to advance a general understanding. The concept of a Kondo destruction quantum critical point is…

Strongly Correlated Electrons · Physics 2026-01-06 Yiming Wang , Shouvik Sur , Chia-Chuan Liu , Qimiao Si

This article briefly reviews three topics related to the quantum critical behavior of certain heavy-fermion systems. First, we summarize an extended dynamical mean-field theory for the Kondo lattice, which treats on an equal footing the…

Strongly Correlated Electrons · Physics 2009-10-31 Qimiao Si , J. Lleweilun Smith , Kevin Ingersent

We demonstrate a tunable Kondo effect realized in small quantum dots. We can switch our dot from a Kondo impurity to a non-Kondo system as the number of electrons on the dot is changed from odd to even. We show that the Kondo temperature…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Sara M. Cronenwett , Tjerk H. Oosterkamp , Leo P. Kouwenhoven

We extend the numerical renormalization-group method to Bose-Fermi Kondo models (BFKMs), describing a local moment coupled to a conduction band and a dissipative bosonic bath. We apply the method to the Ising-symmetry BFKM with a bosonic…

Strongly Correlated Electrons · Physics 2016-08-31 Matthew T. Glossop , Kevin Ingersent

Heavy fermion metals typically exhibit unconventional quantum critical point or quantum critical phase at zero temperature due to competition of Kondo effect and magnetism. Previous theories were often based on certain local type of…

Strongly Correlated Electrons · Physics 2021-10-12 Jiangfan Wang , Yi-feng Yang

The Kondo and Periodic Anderson models describe many of the qualitative features of local moments coupled to a conduction band, and thereby the physics of materials such as the heavy fermions. In particular, when the exchange coupling $J$…

Strongly Correlated Electrons · Physics 2019-05-30 Lufeng Zhang , Tianxing Ma , Natanael C. Costa , Raimundo R. dos Santos , Richard T. Scalettar

We study an influence of a finite magnetic field on a small spin-degenerate quantum dot with even number of electrons, attached to metallic leads. It is shown that, under certain conditions, the low energy physics of the system can be…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 M. Pustilnik , Y. Avishai , K. Kikoin

The destruction of Fermi liquid behavior when a gapless Fermi surface is coupled to a fluctuating gapless boson field is studied theoretically. This problem arises in a number of different contexts in quantum many body physics. Examples…

Strongly Correlated Electrons · Physics 2010-12-14 David F. Mross , John McGreevy , Hong Liu , T. Senthil

Quantum criticality describes the collective fluctuations of matter undergoing a second-order phase transition at zero temperature. It is being discussed in a number of strongly correlated electron systems. A prototype case occurs in the…

Strongly Correlated Electrons · Physics 2011-02-28 Qimiao Si

We study a pseudogap Anderson-Holstein model of a magnetic impurity level that hybridizes with a conduction band whose density of states vanishes in power-law fashion at the Fermi energy, and couples, via its charge, to a nondispersive…

Strongly Correlated Electrons · Physics 2013-02-27 Mengxing Cheng , Kevin Ingersent

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

The prospect of using semiconductor quantum dots as an experimental tool to distinguish Majorana zero modes (MZMs) from other zero-energy excitations such as Kondo resonances has brought up the fundamental question of whether topological…

Strongly Correlated Electrons · Physics 2020-03-04 Joelson F. Silva , Luis G. G. V. Dias da Silva , E. Vernek

Motivated by recent Hall-effect experiment in YbRh$_2$Si$_2$, we study ground state properties of a Kondo lattice model in a two-dimensional square lattice using variational Monte Carlo method. We show that there are two types of phase…

Strongly Correlated Electrons · Physics 2007-09-26 Hiroshi Watanabe , Masao Ogata