A general formulation for the magnetic oscillations in two dimensional systems
arXiv:2006.07944 · doi:10.1140/epjb/e2020-10088-3
Abstract
We develop a general formalism for the magnetic oscillations (MO) in two dimensional (2D) systems. We consider general 2D Landau levels, which may depend on other variable or indices, besides the perpendicular magnetic field. In the ground state, we obtain expressions for the MO phase and amplitude. From this we use a Fourier expansion to write the MO, with the first term being a sawtooth oscillation. We also consider the effects of finite temperature, impurities or lattice imperfections, assuming a general broadening of the Landau levels. We develop two methods for describing these damping effects in the MO. One in terms of the occupancy of the Landau levels, the other in terms of reduction factors, which results in a generalization of the Lifshits-Kosevich (LK) formula. We show that the first approach is particularly useful at very low damping, when only the states close to the Fermi energy are excited. In contrast, the LK formula may be more convenient at higher damping, when only few terms are needed in its harmonic expansion. We compare different damping situations, showing how the MO are broadened in each case. The general formulation presented allows to relate the properties of the MO with those of the 2D systems.
arXiv commentAccepted version, 12 pages, 2 figures
References in corpus (29)
- The electronic properties of graphene
- Two-Dimensional Gas of Massless Dirac Fermions in Graphene
- Thermal Properties of Graphene, Carbon Nanotubes and Nanostructured Carbon Materials
- Thermal properties of graphene: Fundamentals and applications
- Low-energy effective Hamiltonian involving spin-orbit coupling in Silicene and Two-Dimensional Germanium and Tin
- Electrically Tunable Band Gap in Silicene
- Electronic Properties of Graphene in a Strong Magnetic Field
- Weak localisation magnetoresistance and valley symmetry in graphene
- Monolayer Topological Insulators: Silicene, Germanene and Stanene
- Spin and valley quantum Hall ferromagnetism in graphene
- Magnetic oscillations in planar systems with the Dirac-like spectrum of quasiparticle excitations
- Unexpected phonon-transport properties of stanene among 2D group-IV materials from \textit{ab initio}
- Thermoelectric properties of atomic-thin silicene and germanene nano-structures
- Tuning the electronic structures of silicene and germanene by biaxial strain and electric field
- Valley polarized quantum Hall effect and topological insulator phase transitions in silicene
- Phonon Properties, Thermal Expansion, and Thermomechanics of Silicene and Germanene
- The influence of the oscillations of the chemical potential on the de Haas - van Alphen effect in quasi-two-dimensional compounds
- Possibility of Realizing Quantum Spin Hall Effect at Room Temperature in Stanene/Al2O3(0001)
- de Haas-van Alphen Effect in the Two-Dimensional and the Quasi-Two-Dimensional Systems
- Magnetization in two-dimensional electron gas in a perpendicular magnetic field: the roles of edge states and spin-orbit coupling
- Magnetic Properties of Dirac Fermions in a Buckled Honeycomb Lattice
- The Interplay of Landau Level Broadening and Temperature on Two-Dimensional Electron Systems
- Magnetic oscillations in a model of graphene
- Magnetic oscillations in silicene
- Valley properties of doped graphene in a magnetic field
- Orbital Magnetism of Graphene Nanostructures: Bulk and Confinement Effects
- Magnetization in pristine graphene with Zeeman splitting and variable spin-orbit coupling
- Effect of electronic band dispersion curvature on de Haas-van Alphen oscillations
- de Haas-van Alphen oscillations with non-parabolic dispersions