title: Superinsulator and quantum synchronization.
abstract: Synchronized oscillators are ubiquitous in nature, and synchronization plays a key part in various classical and quantum phenomena. Several experiments have shown that in thin superconducting films, disorder enforces the droplet-like electronic texture--superconducting islands immersed into a normal matrix--and that tuning disorder drives the system from superconducting to insulating behaviour. In the vicinity of the transition, a distinct state forms: a Cooper-pair insulator, with thermally activated conductivity. It results from synchronization of the phase of the superconducting order parameter at the islands across the whole system. Here we show that at a certain finite temperature, a Cooper--air insulator undergoes a transition to a superinsulating state with infinite resistance. We present experimental evidence of this transition in titanium nitride films and show that the superinsulating state is dual to the superconducting state: it is destroyed by a sufficiently strong critical magnetic field, and breaks down at some critical voltage that is analogous to the critical current in superconductors.
authors.affiliation: Material Science Division, Argonne National Laboratory, Argonne, Illinois 60439, USA. vinokour@anl.gov
authors.forename: Valerii M
authors.initials: VM
authors.lastname: Vinokur
authors.forename: Tatyana I
authors.initials: TI
authors.lastname: Baturina
authors.forename: Mikhail V
authors.initials: MV
authors.lastname: Fistul
authors.forename: Aleksey Yu
authors.initials: AY
authors.lastname: Mironov
authors.forename: Mikhail R
authors.initials: MR
authors.lastname: Baklanov
authors.forename: Christoph
authors.initials: C
authors.lastname: Strunk