Superconductor-insulator quantum critical point in 1+εdimensions

Abstract

A system of spinless fermions in $d=1+\epsilon$ dimensions, at zero-temperature and in random potential is studied using the perturbative renormalization group to first order in disorder and to second order in interaction. We find a superconductor-to- Anderson insulator quantum fixed point at an infinitesimal value of disorder and calculate the correlation length and the dynamical exponents to the lowest order in $\epsilon$ and in interaction. The scaling of conductivity with temperature and the behavior of characteristic temperature scales on both sides of the transition is determined. The model may have relevance for a p-wave superconductor at low temperatures in strongly disordered media.

8 pages, LaTex, one figure available upon request, typos corrected, discussion of conductivity made more precise

References in corpus (3)

• Non-zero temperature transport near quantum critical points
• Scaling theory of two-dimensional metal-insulator transitions
• Dual superfluid-Bose glass critical point in two dimensions and the universal conductivity

Cited by in corpus (3)

• Particle-hole symmetry and the dirty boson problem
• Dual theory of the superfluid-Bose glass transition in disordered Bose-Hubbard model in one and two dimensions
• Critical behavior at superconductor-insulator phase transitions near one dimension