Kondo effect in coupled quantum dots with RKKY interaction: Effects of finite temperature and magnetic field

2006/07/28 by Chung‐Hou Chung, Chung-Hou Chung, Walter Hofstetter · 1 citation
Physics and Astronomy · #Magnetic properties of thin films #Quantum and electron transport phenomena #Semiconductor Quantum Structures and Devices #cond-mat.mes-hall #cond-mat.str-el

paper · pdf · doi:10.1103/physrevb.76.045329

4 pages, 5 figures

arxiv created 2006/07/28 · openalex publication_date 2007/07/24 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/30

Abstract

We study transport through two quantum dots coupled by a Ruderman-Kittel-Kasuya-Yoshida interaction as a function of temperature and magnetic field. By applying the numerical renormalization group method, we obtain the transmission and the linear conductance. At zero temperature and magnetic field, we observe a quantum phase transition between the Kondo screened state and a local spin singlet as the RKKY interaction is tuned. Above the critical RKKY coupling, the Kondo peak is split. However, we find that both finite temperature and magnetic field restore the Kondo resonance. Our results agree well with recent transport experiments on gold grain quantum dots in the presence of magnetic impurities [H. B. Heersche et al., Phys. Rev. Lett. 96, 017205 (2006)].

Citations

• Transport Coefficients of the Anderson Model via the Numerical Renormalization Group
• Low Temperature Transport through a Quantum Dot: The Anderson Model out of Equilibrium
• Quantum Dots with Even Number of Electrons: Kondo Effect in a Finite Magnetic Field
• Quantum Phase Transition in a Multilevel Dot
• The renormalization group: Critical phenomena and the Kondo problem
• A Theory of Metallic Ferro- and Antiferromagnetism on Zener's Model

Cited by

• Quantum phase transition in a gapped Anderson model: A numerical renormalization group study