The Two-Impurity Anderson Model at Quantum Criticality

Abstract

We propose a realization of the two-impurity Anderson model in a double quantum-dot device. When charge transfer between the dots is suppressed the system exhibits a quantum phase transition, controlled by a surface of non-Fermi liquid fixed points parameterized by the charge valences of the dots. Employing conformal field theory techniques, we identify the scaling exponents that govern transport and thermodynamics close to criticality. We also determine the dynamical exponents that set the time scale for buildup of the non-Fermi liquid state after the system is suddenly shifted into the critical region, e.g. by a change of a nearby gate voltage.

8 pages, 7 figures, 6 tables; expanded version, published in Phys. Rev. B

References in corpus (9)

• Tunable Non-local Spin Control in a Coupled Quantum Dot System
• Conformal Field Theory Approach to the 2-Impurity Kondo Problem: Comparison with Numerical Renormalization Group Results
• The Fermi Edge Singularity and Boundary Condition Changing Operators
• RKKY and magnetic field interactions in coupled Kondo quantum dots
• Quantum criticality in a double quantum-dot system
• Transport spectroscopy of Kondo quantum dots coupled by RKKY interaction
• Strong Correlations in a nutshell
• Critical Theory of the Two-Channel Anderson Impurity Model
• Exact Critical Exponents for Pseudo-Particles in the Kondo Problem

Cited by in corpus (5)

• Universal low-temperature crossover in two-channel Kondo models
• Spectral properties of the two-impurity Anderson model with varying distance and various interactions
• Two-Impurity Kondo Model: Spin-Orbit Interactions and Entanglement
• Coherent exchange-coupled nonlocal Kondo impurities
• The two-impurity Kondo model with spin-orbit interactions