Singularity of the vortex density of states in d-wave superconductors

Abstract

In d-wave superconductors, the electronic density of states (DOS) induced by a vortex exhibits a divergence at low energies: N vortex(E) ∼1/|E|. This divergence is the result of gap nodes in the spectrum of excitation outside the vortex core. The heat capacity in two regimes, T 2/T ≫ B/B c 2 and T 2/T ≪ B/B c 2, is discussed.