paper

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

arXiv:1306.6229 · doi:10.1209/0295-5075/103/57008

Abstract

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

5 pages

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