Electron transmission through a perpendicular flux tube

Research output: Contribution to journalArticlepeer-review

12 Scopus citations


We study the electrical conductance and Hall resistance of a two-dimensional quantum system with reflecting walls threaded by a magnetic flux tube of small radius (kFR1) through which electrons are allowed to pass. Because of the Zeeman interaction, the observable transmission deviates (as a function of flux) from perfect Aharonov-Bohm periodicity. ul2 in the limit where the radius of the flux tube tends to zero and the Lorentz force is absent. It is explained why this result does not violate gauge invariance. An experimental arrangment where this effect might be observed is the deviation from zero of the Hall resistance of a half-integer flux tube.

Original languageEnglish
Pages (from-to)1761-1764
Number of pages4
JournalPhysical Review Letters
Issue number13
StatePublished - 1 Jan 1991

ASJC Scopus subject areas

  • General Physics and Astronomy


Dive into the research topics of 'Electron transmission through a perpendicular flux tube'. Together they form a unique fingerprint.

Cite this