Modifications of the Lifshitz-Kosevich formula in two-dimensional Dirac systems
Mesoscale and Nanoscale Physics
2017-11-15 v1
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.
Keywords
Cite
@article{arxiv.1603.02559,
title = {Modifications of the Lifshitz-Kosevich formula in two-dimensional Dirac systems},
author = {Carolin Kueppersbusch and Lars Fritz},
journal= {arXiv preprint arXiv:1603.02559},
year = {2017}
}
Comments
11 pages, 1 figure