A Damping of the de Haas-van Alphen Oscillations in the superconducting state

TL;DR

This paper presents a semiclassical theory explaining the damping of de Haas-van Alphen oscillations in superconductors, showing that oscillation frequency remains unchanged while amplitude decreases due to quasiparticle tunneling.

Contribution

It introduces an analytic formula for damping of oscillations in superconductors based on tunneling between quasiparticle orbits, aligning with experimental data.

Findings

Oscillation frequency remains the same in superconducting state

Amplitude of oscillations is reduced in the superconducting state

Analytic damping formula agrees with experimental observations

Abstract

Deploying a recently developed semiclassical theory of quasiparticles in the superconducting state we study the de Haas-van Alphen effect. We find that the oscillations have the same frequency as in the normal state but their amplitude is reduced. We find an analytic formulae for this damping which is due to tunnelling between semiclassical quasiparticle orbits comprising both particle-like and hole-like segments. The quantitative predictions of the theory are consistent with the available data.