https://doi.org/10.1007/s100510070211
Aharonov-Bohm effect in one-channel weakly disordered rings
Institut für Theoretische Physik, Univ.
Würzburg, 97074 Würzburg, Germany
Corresponding author: a feldmann@physik.uni-wuerzburg.de
Received:
27
December
1999
Published online: 15 August 2000
A new diagrammatic method, which is a reformulation of Berezinskii's
technique, is constructed to study the density of electronic states
of a one-channel weakly disordered ring,
threaded by an external magnetic flux. The exact result obtained for
the density of states shows an oscillation of
with a period of the flux quantum 
. As the
sample length (or the impurity concentration) is reduced, a
transition takes place from the weak localization regime (
)
to the ballistic one (
). The analytical expression for the
density of states shows the exact dependence of
on the ring's circumference and on disorder
strength for both regimes.
PACS: 71.10.-w – Theories and models of many electron systems / 71.20.-b – Electron density of states and band structures of crystalline solids / 71.55.-i – Impurity and defect levels / 73.23.-b – Mesoscopic systems
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2000
