Spectroscopy of the Kondo Problem in a Box

Abstract

Motivated by experiments on double quantum dots, we study the problem of a single magnetic impurity confined in a finite metallic host. We prove an exact theorem for the ground state spin, and use analytic and numerical arguments to map out the spin structure of the excitation spectrum of the many-body Kondo-correlated state, throughout the weak to strong coupling crossover. These excitations can be probed in a simple tunneling-spectroscopy transport experiment; for that situation we solve rate equations for the conductance.

4 pages, 4 figures

References in corpus (14)

• The Statistical Theory of Quantum Dots
• Spectroscopy of discrete energy levels in ultrasmall metallic grains
• Tunable Non-local Spin Control in a Coupled Quantum Dot System
• Two-stage Kondo effect in a quantum dot at high magnetic field
• The Kondo Box: A Magnetic Impurity in an Ultrasmall Metallic Grain
• Singlet-triplet transition in a single-electron transistor at zero magnetic field
• Detecting the Kondo screening cloud in conductance measurements on quantum dots
• Interactions and Interference in Quantum Dots: Kinks in Coulomb Blockade Peak Positions
• Mesoscopic fluctuations of the ground state spin of a small metal particle
• Persistent currents through a quantum dot
• Transport through quantum dots in mesoscopic circuits
• On the Sign Problem in the Hirsch-Fye Algorithm for Impurity Problems
• Cluster Algorithms for Quantum Impurity Models and Mesoscopic Kondo Physics
• Interplay between the mesoscopic Stoner and Kondo effects in quantum dots

Cited by in corpus (26)

• Zero-field Kondo splitting and quantum-critical transition in double quantum dots
• Many-Body Physics and Quantum Chaos
• Lanczos transformation for quantum impurity problems in d-dimensional lattices: application to graphene nanoribbons
• Unveiling the internal entanglement structure of the Kondo singlet
• Kondo screening cloud and the charge staircase in one-dimensional mesoscopic devices
• Theoretical study of electronic transport through a small quantum dot with a magnetic impurity
• Interplay of electromagnetic noise and Kondo effect in quantum dots
• Two-Stage Kondo Effect and Kondo Box Level Spectroscopy in a Carbon Nanotube
• Competition between Kondo screening and indirect magnetic exchange in a quantum box
• Transport Spectroscopy of a Kondo quantum dot coupled to a finite size grain
• Transport through side-coupled multilevel double quantum dots in the Kondo regime
• Screening mechanisms in magnetic nanostructures
• Ground State and Excitations of Quantum Dots with "Magnetic Impurities"
• Analyzing the measured phase in the multichannel Aharonov-Bohm interferometer
• Natural orbitals renormalization group approach to a Kondo singlet
• Mesoscopic Anderson Box: Connecting Weak to Strong Coupling
• Interacting Quantum Dot Coupled to a Kondo Spin: A Universal Hamiltonian Study
• Single-impurity Kondo physics at extreme particle-hole asymmetry
• Enhanced spin injection efficiency in a four-terminal double quantum dot system
• From Weak- to Strong-Coupling Mesoscopic Fermi Liquids
• Boundary and finite-size effects in the competition between indirect magnetic exchange and Kondo screening
• Conductance of closed and open long Aharonov-Bohm-Kondo rings
• The strong-coupling limit of a Kondo spin coupled to a mesoscopic quantum dot: effective Hamiltonian in the presence of exchange correlations
• Universal Scaling of the Quantum Conductance of an Inversion-Symmetric Interacting Model
• Fermi-liquid regime of the mesoscopic Kondo problem
• Spectroscopic analysis of finite size effects around a Kondo quantum dot