# Time crystals: Can diamagnetic currents drive a charge density wave into rotation?

@article{Nozires2013TimeCC, title={Time crystals: Can diamagnetic currents drive a charge density wave into rotation?}, author={Philippe Nozi{\`e}res}, journal={Europhysics Letters}, year={2013}, volume={103} }

It has been recently argued that an inhomogeneous system could rotate spontaneously in its ground state —hence a “time crystal” which is periodic in time. In this letter we present a very simple example: a superfluid ring threaded by a magnetic field which develops a charge density wave (CDW). A simple calculation shows that diamagnetic currents cannot drive rotation of the CDW, with a clear picture of the cancellation mechanism.

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