1998/10/20 by T. Senthil, Matthew P. A. Fisher · 6 citations
Engineering · Physics and Astronomy · #Physics of Superconductivity and Magnetism #Rare-earth and actinide compounds #Superconducting Materials and Applications #cond-mat.supr-con
paper · pdf · doi:10.1103/physrevb.60.6893
arxiv created 1998/10/20 · openalex publication_date 1999/09/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
We study the density of quasiparticle states of dirty d-wave superconductors. We show the existence of singular corrections to the density of states due to quantum interference effects. We then argue that the density of states actually vanishes in the localized phase as |E| or E2 depending on whether time-reversal is a good symmetry or not. We verify this result for systems without time-reversal symmetry in one dimension using supersymmetry techniques. This simple, instructive calculation also provides the exact universal scaling function for the density of states for the crossover from ballistic to localized behavior in one dimension. Above two dimensions, we argue that in contrast to the conventional Anderson localization transition, the density of states has critical singularities which we calculate in a 2+\ensuremathε expansion. We discuss consequences of our results for various experiments on dirty high-Tc materials.