Mesoscopic Anderson Box: Connecting Weak to Strong Coupling
arXiv:1202.0626 · doi:10.1103/PhysRevB.85.155455
Abstract
Both the weakly coupled and strong coupling Anderson impurity problems are characterized by a Fermi-liquid theory with weakly interacting quasiparticles. In an Anderson box, mesoscopic fluctuations of the effective single particle properties will be large. We study how the statistical fluctuations at low temperature in these two problems are connected, using random matrix theory and the slave boson mean field approximation (SBMFA). First, for a resonant level model such as results from the SBMFA, we find the joint distribution of energy levels with and without the resonant level present. Second, if only energy levels within the Kondo resonance are considered, the distributions of perturbed levels collapse to universal forms for both orthogonal and unitary ensembles for all values of the coupling. These universal curves are described well by a simple Wigner-surmise type toy model. Third, we study the fluctuations of the mean field parameters in the SBMFA, finding that they are small. Finally, the change in the intensity of an eigenfunction at an arbitrary point is studied, such as is relevant in conductance measurements: we find that the introduction of the strongly-coupled impurity considerably changes the wave function but that a substantial correlation remains.
17 pages, 7 figures
References in corpus (21)
- Fermi-liquid instabilities at magnetic quantum phase transitions
- The numerical renormalization group method for quantum impurity systems
- Detecting the Kondo screening cloud around a quantum dot
- Detecting the Kondo screening cloud in conductance measurements on quantum dots
- Kondo screening cloud effects in mesoscopic devices
- Kondo impurities in nanoscopic systems: new confinement-induced regimes
- Transport through quantum dots in mesoscopic circuits
- Spectroscopy of the Kondo Problem in a Box
- Disorder-quenched Kondo effect in mesosocopic electronic systems
- Kondo screening cloud and the charge staircase in one-dimensional mesoscopic devices
- Nonperturbative Scaling Theory of Free Magnetic Moment Phases in Disordered Metals
- Free Magnetic Moments in Disordered Metals
- Transport Spectroscopy of a Kondo quantum dot coupled to a finite size grain
- Mesoscopic Kondo Problem
- Universal Distribution of Kondo Temperatures in Dirty Metals
- Spectral densities of Kondo impurities in nanoscopic systems
- Cluster Algorithms for Quantum Impurity Models and Mesoscopic Kondo Physics
- Mesoscopic Fluctuations in Quantum Dots in the Kondo Regime
- Ground State and Excitations of Quantum Dots with "Magnetic Impurities"
- The Mesoscopic Kondo Box: A Mean-Field Approach
- From Weak- to Strong-Coupling Mesoscopic Fermi Liquids