Bosonic topological insulator intermediate state in the superconductor-insulator transition

The Superconductor Insulator Transition

As the thickness or magnetic field is varied in thin films a transition between superconducting and insulating phases takes place. This quantum phase transition obeys scaling relations and occurs at seemingly universal critical resistance. This paper reviews experiments that demonstrate this transition and measure the critical exponents. The microscopic theories are outlined and lead to differe...

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...

Vortex lines in topological insulator-superconductor heterostructures

Ching-Kai Chiu,1 Matthew J. Gilbert,2,3 and Taylor L. Hughes1 1Department of Physics, University of Illinois, 1110 West Green Street, Urbana, Illinois 61801, USA 2Department of Electrical and Computer Engineering, University of Illinois, 1406 West Green Street, Urbana, Illinois 61801, USA 3Micro and Nanotechnology Laboratory, University of Illinois, 208 North Wright Street, Urbana, Illinois 618...

Eigenfunction fractality and pseudogap state near the superconductor-insulator transition.

We develop a theory of a pseudogap state appearing near the superconductor-insulator (SI) transition in strongly disordered metals with an attractive interaction. We show that such an interaction combined with the fractal nature of the single-particle wave functions near the mobility edge leads to an anomalously large single-particle gap in the superconducting state near SI transition that pers...

Spin Effects Near the Superconductor-Insulator Transition