Time crystals: Can diamagnetic currents drive a charge density wave into rotation?
Institut Laue Langevin - BP 156, F-38042 Grenoble Cedex 9, France, EU
Received: 18 July 2013
Accepted: 26 August 2013
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.
PACS: 75.20.-g – Diamagnetism, paramagnetism, and superparamagnetism / 72.15.Nj – Collective modes (e.g., in one-dimensional conductors)
© EPLA, 2013