Abstract

Bismuth has been known to exhibit anomalously large diamagnetism which has been interpreted on the basis of the effective Hamiltonian of the Dirac type including spin-orbit coupling. Here the persistent current in a mesoscopic ring of bismuth is calculated. It is found that the magnetic flux induces persistent currents which have a spatial spread of the order of \(\xi =2\hbar v/E_{\rm G}\) ( v : velocity of the `Dirac' electron; E G : energy gap), just as in the atomic diamagnetism whose “atomic” size is gigantic and of mesoscopic scale.

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