BOGOLIUBOV–DE GENNES

Vortex Core Spectral Structure in Type-II Superconductors
1.00
2.0
1.5
0
The Bogoliubov-de Gennes (BdG) equations describe quasiparticle excitations in inhomogeneous superconductors. Near a vortex core (flux quantum hc/2e), the gap parameter Δ(r) = Δ₀·tanh(r/ξ)·e^{iθ} vanishes at center, creating Caroli-de Gennes-Matricon (CdGM) bound states with energies ε_μ ≈ μΔ²/E_F. Left: order parameter amplitude & phase. Right: local density of states (LDOS) spectrum vs radius.