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arXiv · 1603.02559

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

Carolin Kueppersbusch·Lars Fritz
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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.

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Carolin Kueppersbusch, Lars Fritz. 2016-03-08. Modifications of the Lifshitz-Kosevich formula in two-dimensional Dirac systems. https://doi.org/10.1103/physrevb.96.205410

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