Fractional periodic persistent current in a twisted normal metal loop: an exact result

Abstract

We explore a novel mechanism for control of periodicity in persistent current in a twisted normal metal loop threaded by a magnetic flux $\varphi$. A simple tight-binding model is used to describe the system. Quite interestingly we see that, depending on the number of twist $p$, the persistent current exhibits ${\varphi }_0/p$ (${\varphi }_0=ch/e$, the elementary flux-quantum) periodicity. Such fractional periodicity provides a new finding in the study of persistent current.

7 pages, 4 figures

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