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Superconductor-insulator quantum critical point in 1+εdimensions

Igor F. Herbut
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Abstract

A system of spinless fermions in $d=1+ε$ 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 $ε$ 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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Igor F. Herbut. 1997-03-06. Superconductor-insulator quantum critical point in 1+εdimensions. https://doi.org/10.1103/physrevb.57.1303

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