Graduation date: 2006
The extended-Lifshitz-Kosevitch formalism (ELK) unifies the treatment of
the de Haas-van Alphen (dHvA) effect, allowing it to transcend its traditional roles
of mapping Fermi surfaces and measuring effective masses. Here we exploit the
capabilities of dHvA as a probe of many-body effects to examine heavy-fermion su-
perconductivity. ELK successfully describes dHvA in heavy fermion materials using
a slave-boson model in mean field, and in type-II superconducing materials with the
introduction of a self energy due to interactions with the vortex lattice. We propose
a model for combining these two many-body effects, and examine its implications
for dHvA measurements. The result retains the two important characteristics of
its parent models: an enhanced effective mass and temperature-independent damping of the oscillations in the superconducting state. However no suppression of the
heavy mass is predicted in the superconducting state, contrary to experiment.