Superconductor-insulator quantum critical point in 1+εdimensions

Details Superconductor-insulator quantum critical point in 1+εdimensions Superconductor-insulator quantum critical point in 1+εdimensions

1997-02-12

arxiv.org/abs/cond-mat/9702116v2

Phys. Rev. B, vol. 57 (1998), 1303

Physics

Condensed Matter

Superconductivity

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

Scientific paper

10.1103/PhysRevB.57.1303

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.

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