Parametric conductance correlation for irregularly shaped quantum dots

Henrik Bruus, Caio H. Lewenkopf, and Eduardo R. Mucciolo
Phys. Rev. B 53, 9968 – Published 15 April 1996
PDFExport Citation

Abstract

We propose the autocorrelator of conductance peak heights as a signature of the underlying chaotic dynamics in quantum dots in the Coulomb blockade regime. This correlation function is directly accessible to experiments and its decay width contains interesting information about the underlying electron dynamics. Analytical results are derived in the framework of random matrix theory in the regime of broken time-reversal symmetry. The final expression, upon rescaling, becomes independent of the details of the system. For the situation when the external parameter is a variable magnetic field, the system-dependent, nonuniversal field scaling factor is obtained by a semiclassical approach. The validity of our findings is confirmed by a comparison with results of an exact numerical diagonalization of the conformal billiard threaded by a magnetic flux line. © 1996 The American Physical Society.

  • Received 20 October 1995

DOI:https://doi.org/10.1103/PhysRevB.53.9968

©1996 American Physical Society

Authors & Affiliations

Henrik Bruus

  • CNRS–CRTBT, 25 Avenue des Martyrs, BP166, F-38042 Grenoble Cédex 9, France

Caio H. Lewenkopf

  • Instituto de Física, Universidade de São Paulo, Caixa Postal 66318, 05389-970, São Paulo, Brazil

Eduardo R. Mucciolo

  • NORDITA, Blegdamsvej 17, DK-2100 Copenhagen O/, Denmark

References (Subscription Required)

Click to Expand
Issue

Vol. 53, Iss. 15 — 15 April 1996

Reuse & Permissions
Access Options
Author publication services for translation and copyediting assistance advertisement

Authorization Required


×
×

Images

×

Sign up to receive regular email alerts from Physical Review B

Log In

Cancel
×

Search


Article Lookup

Paste a citation or DOI

Enter a citation
×