dHvA Oscillations in High-Tc Compounds

TL;DR

This paper investigates how many-body interactions and dimensional crossover in high-Tc compounds affect de Haas-van Alphen oscillations, revealing deviations from traditional Lifshitz-Kosevich theory and potential to distinguish Fermi liquid states.

Contribution

It demonstrates the impact of many-body effects and 2d-3d crossover on dHvA oscillations, highlighting deviations from LK theory and methods to identify Fermi liquid behavior.

Findings

Interactions cause strong singularities in self-energy and thermodynamic potential.

Crossover from 2D to 3D suppresses these singularities.

Weak impurity scattering allows distinguishing Fermi liquid from non-Fermi liquid states.

Abstract

Recent de Haas-van Alphen (dHvA) experiments on high-Tc compounds have been interpreted using Lifshitz-Kosevich (LK) theory, which ignores many-body effects. However in quasi-2d systems, interactions plus Landau level quantization give strong singularities in the self-energy $\Sigma$ and the thermodynamic potential $\Omega$. These are rapidly suppressed as one increases the c-axis tunneling amplitude $t_\perp$ and/or impurity scattering. We show that 2d-3d crossover and interaction effects should show up in these experiments, and that they can lead to strong deviations from LK behaviour. Moreover, dHvA experiments in quasi-2d systems should clearly distinguish between Fermi liquid and non-Fermi liquid states, for sufficiently weak impurity scattering.