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={EPL},
  year={2013},
  volume={103},
  pages={57008}
}
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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