Superconductor-insulator quantum critical point in 1+ε dimensions
Igor F. Herbut
DOI 10.1103/PhysRevB.57.1303 · Physical Review B
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Abstract
A system of disordered spinless fermions infinitesimally above one dimension at zero temperature is studied using the perturbative renormalization-group theory 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.
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