Temperature effect on the magnetic oscillations in 2D materials
arXiv:2005.12109 · doi:10.1088/1361-648X/ab14b6
Abstract
We study the magnetic oscillations (MO) in 2D materials with a buckled honeycomb lattice, considering a perpendicular electric and magnetic field. At zero temperature the MO consist of the sum of four sawtooth oscillations, with two unique frequencies and phases. The values of these frequencies depend on the Fermi energy and electric field, which in turn determine the condition for a beating phenomenon in the MO. We analyse the temperature effect in the MO by considering its local corrections over each magnetization peak, given by Fermi-Dirac like functions. We show that the width of these functions is related to the minimum temperature necessary to observe the spin and valley properties in the MO. In particular, we find that in order to observe the spin splitting, the width must be lower than the MO phase difference. Likewise, in order to observe valley mixing effects, the width must be lower than the MO period. We also show that at high temperatures, all the maxima and minima in the MO are shift to a constant value, in which case we obtain a simple expression for the MO and its envelope. The results obtained show unique features in the MO in 2D materials, given by the interplay between the valley and spin.
References in corpus (28)
- The electronic properties of graphene
- Two-Dimensional Gas of Massless Dirac Fermions in Graphene
- Experimental Observation of Quantum Hall Effect and Berry's Phase in Graphene
- Epitaxial Growth of Two-Dimensional Stanene
- 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
- Monolayer Topological Insulators: Silicene, Germanene and Stanene
- Novel electric field effects on Landau levels in Graphene
- Localized Magnetic States in Graphene
- Magnetic oscillations in planar systems with the Dirac-like spectrum of quasiparticle excitations
- Tuning the Band Gap in Silicene by Oxidation
- 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
- Quantum Hall Effects in Silicene
- Possibility of Realizing Quantum Spin Hall Effect at Room Temperature in Stanene/Al2O3(0001)
- Aspects of Anisotropic Fractional Quantum Hall Effect in Phosphorene
- Magnetic Properties of Dirac Fermions in a Buckled Honeycomb Lattice
- Landau level transitions indoped graphene in a time dependent magnetic field
- Ground state magnetization of conduction electrons in graphene with Zeeman effect
- 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
- Formation of localized magnetic states in graphene in hollow-site adsorbed adatoms
- Statistical repulsion/attraction of electrons in graphene in a magnetic field
- Integer quantum Hall effect and topological phase transitions in silicene
- Influence of temperature on the magnetic oscillations in graphene with spin splitting: a new approach