On the Origin of Quantum Oscillations in the Mixed State of Anisotropic Superconductor

TL;DR

This paper explains the origin of quantum oscillations in the mixed state of anisotropic superconductors, attributing them to energy level crossings affecting localized and extended excitations within the vortex lattice.

Contribution

It provides a theoretical explanation for the emergence of de Haas-van Alphen oscillations in the vortex state of anisotropic superconductors with well-separated cores.

Findings

Quantum oscillations arise from energy level crossings.

Oscillations are linked to localized and extended state thresholds.

The theory applies to superconductors with specific magnetic field ranges.

Abstract

For the vortex lattice in an anisotropic superconductor with well-separated cores (Hc1<<B<<Hc2) it is shown that sizable de Haas-van Alphen oscillations are caused by the levels` crossing of the energy threshold separating localized and extended states of excitations moving in the average magnetic field,B.