Singularity of the Vortex Density of States in d-wave Superconductors

TL;DR

This paper investigates the unique divergence in the vortex-induced electronic density of states in d-wave superconductors and discusses its implications for heat capacity in different regimes.

Contribution

It reveals the singular 1/|E| divergence in the DOS caused by gap nodes and analyzes heat capacity behavior across various temperature and magnetic field regimes.

Findings

DOS exhibits 1/|E| divergence at low energies

Heat capacity behavior varies with temperature and magnetic field regimes

Gap nodes are responsible for the singular DOS feature

Abstract

In d-wave superconductors, the electronic density of states (DOS) induced by a vortex exhibits 1/|E| divergency at low energies. It is the result of gap nodes in the excitations spectrum outside the vortex core. The heat capacity in two regimes, (T/T_c)^2 >> B/B_{c2} and (T/T_c)^2 << B/B_{c2}, is discussed.