Mesoscopic Kondo Problem

Abstract

We study the effect of mesoscopic fluctuations on a magnetic impurity coupled to a spatially confined electron gas with a temperature in the mesoscopic range (i.e. between the mean level spacing $\Delta$ and the Thouless energy $E_{\mathrm{Th}}$). Comparing ``poor-man's scaling'' with exact Quantum Monte Carlo, we find that for temperatures larger than the Kondo temperature, many aspects of the fluctuations can be captured by the perturbative technique. Using this technique in conjunction with semi-classical approximations, we are able to calculate the mesoscopic fluctuations for a wide variety of systems. For temperatures smaller than the Kondo temperature, we find large fluctuations and deviations from the universal behavior.

References in corpus (9)

• Kondo Physics in a Single Electron Transistor
• Quantum Effects in Coulomb Blockade
• Spectroscopy of discrete energy levels in ultrasmall metallic grains
• The Kondo Box: A Magnetic Impurity in an Ultrasmall Metallic Grain
• Detecting the Kondo screening cloud in conductance measurements on quantum dots
• Observation of Quantum Fluctuations of Charge on a Quantum Dot
• Transport through quantum dots in mesoscopic circuits
• Size Dependence In The Disordered Kondo Problem
• Mesoscopic Fluctuations in Quantum Dots in the Kondo Regime

Cited by in corpus (18)

• Many-Body Physics and Quantum Chaos
• Disorder-quenched Kondo effect in mesosocopic electronic systems
• Nonperturbative Scaling Theory of Free Magnetic Moment Phases in Disordered Metals
• Free Magnetic Moments in Disordered Metals
• Transport through side-coupled double quantum dots: from weak to strong interdot coupling
• On the Sign Problem in the Hirsch-Fye Algorithm for Impurity Problems
• Transport Spectroscopy of a Kondo quantum dot coupled to a finite size grain
• Universal Distribution of Kondo Temperatures in Dirty Metals
• Transport through side-coupled multilevel double quantum dots in the Kondo regime
• Ground State and Excitations of Quantum Dots with "Magnetic Impurities"
• The Mesoscopic Kondo Box: A Mean-Field Approach
• 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
• From Weak- to Strong-Coupling Mesoscopic Fermi Liquids
• 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
• Fermi-liquid regime of the mesoscopic Kondo problem