Critical behavior of density of states near Fermi energy in low-dimensional disordered metals

We study the effect of electron-electron interaction on the one-particle density of states DOS d ,T of low-dimensional disordered metals near Fermi energy within the framework of the finite temperature conventional impurity diagram technique. We consider only diffusive limit and, by a geometric resummation of the most singular first-order self-energy corrections via the Dyson equation, we obtain a nondivergent solution for the DOS at low energies while for higher energies the well-known Altshuler-Aronov corrections are recovered. At the Fermi level d ,T=0 →0, this indicates that interacting disordered two-dimensional and quasi-onedimensional systems are in insulating state at zero temperature. The obtained results are in good agreement with recent tunneling experiments on two-dimensional GaAs/AlGaAs heterostructures and quasi-onedimensional doped multiwall carbon nanotubes.