Modifications of the Lifshitz-Kosevich formula in two-dimensional Dirac systems

Abstract

Starting from the Luttinger-Ward functional we derive an expression for the oscillatory part of the grand potential of a two dimensional Dirac system in a magnetic field. We perform the computation for the clean and the disordered system, and we study the effect of electron-electron interactions on the oscillations. Unlike in the two dimensional electron gas (2DEG), a finite temperature and impurity scattering also affects the oscillation frequency. Furthermore, we find that in graphene, compared to the 2DEG, additional interaction induced damping effects occur: to two-loop order electron-electron interactions do lead to an additional damping factor in the amplitude of the Lifshitz-Kosevich-formula.

11 pages, 1 figure

References in corpus (3)

• Is graphene in vacuum an insulator?
• Interaction phenomena in graphene seen through quantum capacitance
• Quantum magnetooscillations in the ac conductivity of disordered graphene

Cited by in corpus (9)

• Experimental observation of spin-split energy dispersion in high-mobility single-layer graphene/WSe2 heterostructures
• Theory of Difference Frequency Quantum Oscillations
• Modification of the Lifshitz-Kosevich formula for anomalous quantum oscillations in inverted insulators
• Magnetic oscillations in a model of graphene
• Tuning Fermi Liquids with polaritonic Cavities
• Effect of many-body interaction on de Haas-van Alphen oscillations in insulators
• Tunable Band Inversion in Trilayer Graphene
• Temperature dependence of quantum oscillations from non-parabolic dispersions
• Observation of quantum oscillations near the Mott-Ioffe-Regel limit in CaAs3