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Aharonov-Bohm effect in one-channel weakly disordered rings | | E. P. Nakhmedov
; H. Feldmann
; R. Oppermann
; | | Date: |
6 Oct 1999 | | Subject: | Mesoscopic Systems and Quantum Hall Effect | cond-mat.mes-hall | | Abstract: | A new diagrammatic method, which is a reformulation of Berezinskii’s technique, is constructed to study the density of electronic states $
ho(epsilon,phi)$ 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 $
ho(epsilon,phi)$ with a period of the flux quantum $phi_0= hc/e $. As the sample length (or the impurity concentration) is reduced, a transition takes place from the weak localization regime (L >> l) to the ballistic one (L <= l). The analytical expression for the density of states shows the exact dependence of $
ho(epsilon,phi)$ on the ring’s circumference and on disorder strength for both regimes. | | Source: | arXiv, cond-mat/9910067 | | Services: | Forum | Review | PDF | Favorites | |
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