Diamagnetic persistent currents are shown to exist in a two-dimensional metallic cylinder threaded by magnetic flux, and the average over impurity configurations is calculated in the weak-scattering, small flux limit. Electron-electron and hole-hole propagators give rise to a reduction in the current which is exponential in L x /2 l , where L x is the perimeter and l is the elastic mean free path. The current is proportional to the length of the cylinder, when this length is large.
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Entin‐Wohlman et al. (1989) studied this question.
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