Two-state approximation in the Coulomb-blockade theory: Simple analytical results for a double-tunnel junction

J. C. Wan, K. A. McGreer, L. I. Glazman, A. M. Goldman, R. I. Shekhter

Research output: Contribution to journalArticlepeer-review

18 Scopus citations

Abstract

Under the conditions of a Coulomb blockade in a strongly asymmetric mesoscopic double-junction system it is valid to consider only two possible charge states in the interjunction region. Within this two-state approximation, a simple analytical form for the dependence of differential conductance G on voltage V is found. The oscillatory part of G(V) is proportional to (1/n){(/n)+1}-2, where =(V-Vn)/V, Vn is the threshold voltage for the nth step in the I-V characteristic, and V=e/C2 is the period. The validity of the approximation is checked by a comparison with the numerical solution of the rate equations for the double junction. These analytical results permit the estimation of junction parameters from the slopes measured at the critical points of an I-V curve exhibiting a Coulomb staircase.

Original languageEnglish (US)
Pages (from-to)9381-9384
Number of pages4
JournalPhysical Review B
Volume43
Issue number11
DOIs
StatePublished - 1991

Fingerprint Dive into the research topics of 'Two-state approximation in the Coulomb-blockade theory: Simple analytical results for a double-tunnel junction'. Together they form a unique fingerprint.

Cite this