Aharonov-Bohm effect in one-channel weakly disordered rings
Institut für Theoretische Physik, Univ.
Würzburg, 97074 Würzburg, Germany
Corresponding author: a firstname.lastname@example.org
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