Two-stage Kondo effect in side-coupled quantum dots: Renormalized perturbative scaling theory and numerical renormalization group analysis

2007/07/24 by Chung-Hou Chung, Gergely Zaránd, Gergely Zarand +2 · 2 citations
Engineering · Mathematics · Physics and Astronomy · #Advancements in Semiconductor Devices and Circuit Design #Anderson impurity model #Antiferromagnetism #Condensed matter physics #Conductance #Crossover #Electrical resistivity and conductivity #Electron #Kondo effect #Kondo model #Mathematics #Physics #Quantum and electron transport phenomena #Quantum dot #Quantum electrodynamics #Quantum mechanics #RKKY interaction #Renormalization #Renormalization group #Scaling #Semiconductor Quantum Structures and Devices #Spins #cond-mat.mes-hall #cond-mat.str-el

paper · pdf · doi:10.1103/physrevb.77.035120

6 pages, 7 figures

arxiv created 2007/07/24 · openalex publication_date 2008/01/17 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We study numerically and analytically the dynamical (ac) conductance through a two-dot system, where only one of the dots is coupled to the leads but it is also side coupled to the other dot through an antiferromagnetic exchange Ruderman-Kittel-Kasuya-Yoshida (RKKY) interaction. In this case, the RKKY interaction gives rise to a ``two-stage Kondo effect'' where the two spins are screened by two consecutive Kondo effects. We formulate a renormalized scaling theory that captures remarkably well the crossover from the strongly conductive correlated regime to the low temperature, low conductance state. Our analytical formulas agree well with our numerical renormalization group results. The frequency-dependent current noise spectrum is also discussed.

Citations

• Time-dependent transport in interacting and non-interacting mesoscopic systems
• Transport Coefficients of the Anderson Model via the Numerical Renormalization Group
• Kondo effect in coupled quantum dots with RKKY interaction: Effects of finite temperature and magnetic field
• Theory of inelastic scattering from quantum impurities
• Low Temperature Transport through a Quantum Dot: The Anderson Model out of Equilibrium
• Quantum Phase Transition in a Multilevel Dot
• The renormalization group: Critical phenomena and the Kondo problem
• Ruderman-Kittel-Kasuya-Yosida and Magnetic-Field Interactions in Coupled Kondo Quantum Dots
• A Theory of Metallic Ferro- and Antiferromagnetism on Zener's Model

Cited by

• Fano-Kondo Interplay in a Side-Coupled Double Quantum Dot
• Two-stage Kondo effect and Kondo-box level spectroscopy in a carbon nanotube

Related

• Strongly correlated regimes in a double quantum-dot device
• Dynamical conductance in the two-channel Kondo regime of a double dot system
• Kondo Effect in Quantum Dots Coupled to Luttinger Liquid Leads
• Transport spectroscopy of Kondo quantum dots coupled by RKKY interaction
• Transport Regimes in a Double Quantum Dot Device