# Critical behavior of density of states near Fermi energy in low-dimensional disordered metals - Condensed Matter > Strongly Correlated Electrons

Abstract: We study the effect of electron-electron interaction on the one-particledensity of states \emph{DOS} $ho^{d}\epsilon,T$ of low-dimensionaldisordered metals near Fermi energy within the framework of the finitetemperature conventional impurity diagram technique. We consider only diffusivelimit and by a geometric re-summation of the most singular first orderself-energy corrections via the Dyson equation we obtain a non-divergentsolution for the \emph{DOS} at low energies, while for higher energies thewell-known Altshuler-Aronov corrections are recovered. At the Fermi level$ho^{d}\epsilon,T=0\to 0$, this indicates that interacting disorderedtwo- and quasi-one-dimensional systems are in insulating state at zerotemperature. The obtained results are in good agreement with recent tunnelingexperiments on two-dimensional GaAs-AlGaAs heterostructures andquasi-one-dimensional doped multiwall carbon nanotubes.

Author: E. Sasioglu, S. Caliskan, M. Kumru

Source: https://arxiv.org/