Conductance-phase determination in double-slit transmission across a quantum dot using a Hilbert transform method

R. Englman, A. Yahalom

Research output: Contribution to journalArticlepeer-review

15 Scopus citations

Abstract

Recent mesoscopic two-arm experiments involving quantum dots, electron interferometry, and Aharonov-Bohm effects have enabled measurements of both electron transmission probabilities and phases. Unexpected features in the phases as function of the gap voltage U have stimulated several theoretical works. It is shown in this paper that the phases (f) and conductances (|C|), appearing both in the experimental and in theoretical studies, are interrelated through integral expressions, causing f and (Formula presented) to be Hilbert transforms. The empirically found interrelations imply certain analytical properties of the U dependence of wave functions in mesoscopic systems.

Original languageEnglish
Pages (from-to)2716-2720
Number of pages5
JournalPhysical Review B - Condensed Matter and Materials Physics
Volume61
Issue number4
DOIs
StatePublished - 2000
Externally publishedYes

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