Lower Bound for the Fermi Level Density of States of a Disordered D-Wave Superconductor in Two Dimensions

Details Lower Bound for the Fermi Level Density of States of a Disordered D-Wave Superconductor in Two Dimensions Lower Bound for the Fermi Level Density of States of a Disordered D-Wave Superconductor in Two Dimensions

1997-03-05

arxiv.org/abs/cond-mat/9703047v1

Physics

Condensed Matter

Superconductivity

15 preprint pages, no figures, submitted to PRB

Scientific paper

10.1103/PhysRevB.57.10825

We consider a disordered d--wave superconductor in two dimensions. Recently, we have shown in an exact calculation that for a lattice model with a Lorentzian distributed random chemical potential the quasiparticle density of states at the Fermi level is nonzero. As the exact result holds only for the special choice of the Lorentzian, we employ different methods to show that for a large class of distributions, including the Gaussian distribution, one can establish a nonzero lower bound for the Fermi level density of states. The fact that the tails of the distributions are unimportant in deriving the lower bound shows that the exact result obtained before is generic.

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