Persistent currents for 2 D Schrödinger operator with a strong δ - interaction on a loop
نویسنده
چکیده
One of the most often studied features of mesoscopic systems are the persistent currents in rings threaded by a magnetic flux – let us mention, e.g., [CGR, CWB] and scores of other theoretical and experimental papers where they were discussed. For a charged particle (an electron) confined to a loop Γ the effect is manifested by the dependence of the corresponding eigenvalues λn on the flux φ threading the loop, conventionally measured in the units of flux quanta, 2π~c|e|. The derivative ∂λn/∂φ equals − 1 c In, where In is the persistent current in the n–th state. In particular, if the particle motion on
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