Quantum Oscillations in a $\pi$-Striped Superconductor

Understand

Within Bogoliubov-de Gennes theory, a semiclassical approximation is used to study quantum oscillations and to determine the Fermi surface area associated with these oscillations in a model of a $\pi$-striped superconductor, where the d-wave superconducting order parameter oscillates spatially with period 8 and zero average value.

• This system has a non-zero density of particle-hole states at the Fermi energy, which form Landau-like levels in the presence of a magnetic field, B.
• The Fermi surface is reconstructed via Andreev-Bragg scattering, and the semiclassical motion is along these Fermi surface sections as well as between them via magnetic breakdown.
• Within the approximation, oscillations periodic in 1/B are found in both the positions and widths of the lowest Landau levels.