Critical exponents at the superconductor-insulator transition in dirty-boson systems

I obtain the inverse of the correlation length exponent at the superfluid--Bose-glass quantum critical point as a series in a small parameter √d-1, with d being the dimensionality of the system, and compute the two lowest terms. For $d=2,$ I find νₛ=0.81 and νc=1.03 for short-range and Coulomb interactions between bosons, respectively. When combined with the exact values of the dynamical critical exponents, these results are in quantitative agreement with experiments on onset of superfluidity in ⁴He in porous glasses and on the superconductor-insulator transition in homogeneous metallic films.