1Bogolyubov Institute for Theoretical Physics, 14-b Metrologicheskaya Str., Kiev 03680, Ukraine
2National Technical University of Ukraine “KPI”, 37 Peremogy Ave., Kiev 03056, Ukraine
3Laboratory of Condensed Matter Physics, University of Picardie Jules Verne, Amiens 80039, France
4CNR-SPIN, Viale del Politecnico 1, University “Tor Vergata”, I-00133 Rome, Italy
Received December 2, 2013
We present an overview of our recent results on quantum magnetic oscillations in new functional materials. We begin with the Lifshitz and Kosevich approach for quasi-2D layered materials and obtain general formulas for the oscillatory parts of the grand thermodynamic potential and magnetization. Then we consider the oscillations of the Nernst–Ettingshausen coefficient which consists of thermal and magnetization parts. The difference between normal and Dirac carriers is also discussed. To conclude we consider a model for multilayer graphene which allows to calculate exactly the Berry phase which remains undetermined in the Lifshitz–Kosevich approach. The magnetic oscillations of the density of states and capacitance for different number of the carbon layers are described.
PACS: 72.15.Jf Thermoelectric and thermomagnetic effects; PACS: 72.20.Pa Thermoelectric and thermomagnetic effects; PACS: 71.70.Di Landau levels.