Skip to main content

Mesoscopic Anderson box: Connecting weak to strong coupling

Publication ,  Journal Article
Liu, DE; Burdin, S; Baranger, HU; Ullmo, D
Published in: Physical Review B - Condensed Matter and Materials Physics
April 27, 2012

We study the Anderson impurity problem in a mesoscopic setting, namely the "Anderson box," in which the impurity is coupled to finite reservoir having a discrete spectrum and large sample-to-sample mesoscopic fluctuations. Note that both the weakly coupled and strong coupling Anderson impurity problems are characterized by a Fermi-liquid theory with weakly interacting quasiparticles. We study how the statistical fluctuations 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. © 2012 American Physical Society.

Duke Scholars

Published In

Physical Review B - Condensed Matter and Materials Physics

DOI

EISSN

1550-235X

ISSN

1098-0121

Publication Date

April 27, 2012

Volume

85

Issue

15

Related Subject Headings

  • Fluids & Plasmas
  • 09 Engineering
  • 03 Chemical Sciences
  • 02 Physical Sciences
 

Citation

APA
Chicago
ICMJE
MLA
NLM
Liu, D. E., Burdin, S., Baranger, H. U., & Ullmo, D. (2012). Mesoscopic Anderson box: Connecting weak to strong coupling. Physical Review B - Condensed Matter and Materials Physics, 85(15). https://doi.org/10.1103/PhysRevB.85.155455
Liu, D. E., S. Burdin, H. U. Baranger, and D. Ullmo. “Mesoscopic Anderson box: Connecting weak to strong coupling.” Physical Review B - Condensed Matter and Materials Physics 85, no. 15 (April 27, 2012). https://doi.org/10.1103/PhysRevB.85.155455.
Liu DE, Burdin S, Baranger HU, Ullmo D. Mesoscopic Anderson box: Connecting weak to strong coupling. Physical Review B - Condensed Matter and Materials Physics. 2012 Apr 27;85(15).
Liu, D. E., et al. “Mesoscopic Anderson box: Connecting weak to strong coupling.” Physical Review B - Condensed Matter and Materials Physics, vol. 85, no. 15, Apr. 2012. Scopus, doi:10.1103/PhysRevB.85.155455.
Liu DE, Burdin S, Baranger HU, Ullmo D. Mesoscopic Anderson box: Connecting weak to strong coupling. Physical Review B - Condensed Matter and Materials Physics. 2012 Apr 27;85(15).

Published In

Physical Review B - Condensed Matter and Materials Physics

DOI

EISSN

1550-235X

ISSN

1098-0121

Publication Date

April 27, 2012

Volume

85

Issue

15

Related Subject Headings

  • Fluids & Plasmas
  • 09 Engineering
  • 03 Chemical Sciences
  • 02 Physical Sciences