Many-body renormalization of Landau levels in graphene due to screened Coulomb interaction
arXiv:1711.00779 · doi:10.1103/PhysRevB.97.075416
Abstract
Renormalization of Landau level energies in graphene in strong magnetic field due to Coulomb interaction is studied theoretically, and calculations are compared with two experiments on carrier-density dependent scanning tunneling spectroscopy. An approximate preservation of the square-root dependence of the energies of Landau levels on their numbers and magnetic field in the presence of the interaction is examined. Many-body calculations of the renormalized Fermi velocity with the statically screened interaction taken in the random-phase approximation show good agreement with both experiments. The crucial role of the screening in achieving quantitative agreement is found. The main contribution to the observed rapid logarithmic growth of the renormalized Fermi velocity on approach to the charge neutrality point turned out to be caused not by mere exchange interaction effects, but by weakening of the screening at decreasing carrier density. The importance of a self-consistent treatment of the screening is also demonstrated.
8 pages, 6 figures, 2 tables; results of self-consistent iterative calculations were included
References in corpus (25)
- The electronic properties of graphene
- Quantum field theory in a magnetic field: From quantum chromodynamics to graphene and Dirac semimetals
- Infrared spectroscopy of Landau levels in graphene
- Scanning Tunneling Spectroscopy of Graphene on Graphite
- Interaction phenomena in graphene seen through quantum capacitance
- Colloquium: Graphene spectroscopy
- Observation of an intrinsic bandgap and Landau level renormalization in graphene/boron-nitride heterostructures
- Dirac electronic states in graphene systems: Optical spectroscopy studies
- Excitations from Filled Landau Levels in Graphene
- Collective modes of doped graphene and a standard 2DEG in a strong magnetic field: linear magneto-plasmons versus magneto-excitons
- Landau Quantization in Graphene Monolayer, Bernal Bilayer, and Bernal Trilayer on Graphite Surface
- Magnetoplasmons excitations in graphene for filling factors
- Landau level spectroscopy of electron-electron interactions in graphene
- Dynamical polarization of monolayer graphene in a magnetic field
- Probing electronic excitations in mono- to pentalayer graphene by micro-magneto-Raman spectroscopy
- Spin-flip excitations, spin waves, and magneto-excitons in graphene Landau levels at integer filling factors
- Many-particle effects in the cyclotron resonance of encapsulated monolayer graphene
- Raman scattering of graphene based systems in high magnetic fields
- The influence of a weak magnetic field in the Renormalization-Group functions of (2+1)-dimensional Dirac systems
- Inter-band magnetoplasmons in mono- and bi-layer graphene
- Quantum capacitance and compressibility of graphene: The role of Coulomb interactions
- Many-body effects of Coulomb interaction on Landau levels in graphene
- Renormalized Landau Levels and Particle-Hole Symmetry in Graphene
- Direct-exchange duality of the Coulomb interaction and collective excitations in graphene in a magnetic field
- Integer Quantum Hall Effect of Interacting Electrons in Graphene