The Superconductor Insulator Transition

The Superconductor-to-Insulator Transition in Resistively-Shunted Josephson-Junction Arrays

This essay describes the, analytical theory, experimental observations and potential applications of superconductor‐to‐insulator quantum phase transitions in arrays of resistively‐shunted Josephson junctions and superconducting islands dissipatively‐coupled to an external source of single‐particle excitations.

Electronic evidence of an insulator-superconductor crossover in single-layer FeSe/SrTiO3 films.

In high-temperature cuprate superconductors, it is now generally agreed that superconductivity is realized by doping an antiferromagnetic Mott (charge transfer) insulator. The doping-induced insulator-to-superconductor transition has been widely observed in cuprates, which provides important information for understanding the superconductivity mechanism. In the iron-based superconductors, howeve...

Hall effect at the magnetic-field-tuned superconductor-insulator transition

The Hall effect for disordered superconducting films in magnetic field is discussed, with special focus on the vicinity of the magnetic field-tuned superconductor-insulator transition. Evidence is presented that upon ensemble averaging this transition possesses a "hidden" particle/hole symmetry. This symmetry implies that right at the transition the Hall resistance vanishes. Relevance to recent...

Spin Effects Near the Superconductor-Insulator Transition

Compensation-driven superconductor-insulator transition

The superconductor-insulator transition in the presence of strong compensation of dopants was recently realized in La doped yttrium barium copper oxide. The compensation of acceptors by donors makes it possible to change independently the concentration of holes n and the total concentration of charged impurities N. We propose a theory of the superconductor-insulator phase diagram in the N ,n pl...

Quantum confinement transition in a d-wave superconductor

We study the nature of the zero-temperature phase transition between a d-wave superconductor and a Mott insulator in two dimensions. In this ‘‘quantum confinement transition,’’ spin and charge are confined to form the electron in the Mott insulator. Within a dual formulation, direct transitions from d-wave superconductors at half-filling to insulators with spin-Peierls ~as well as other! order ...