Thermal smearing of the magneto-Kohn anomaly for Dirac materials and comparison with the two-dimensional electron liquid

Abstract

We compute and compare the effects due to a uniform perpendicular magnetic field as well as temperature on the static polarization functions for monolayer graphene (MLG), associated with the Dirac point, with that for the two-dimensional electron liquid (2DEL) with the use of comprehensive numerical calculations. Previous results for the 2DEL are discussed and, in particular, we point out a flaw in a reported analytic derivation which was carried out to exhibit the smearing of the Fermi surface for 2DEL. The relevance of our study to the Kohn anomaly in low-dimensional structures and the Friedel oscillations for the screening of the potential for a dilute distribution of impurities is reported. Our results show substantial differences due to screening for the 2DEL and MLG which have not been given adequate attention previously.

References in corpus (10)

• Dielectric function, screening, and plasmons in 2D graphene
• Dynamical polarization of graphene at finite doping
• Screening induced temperature dependent transport in 2D graphene
• Screening, Kohn anomaly, Friedel oscillation, and RKKY interaction in bilayer graphene
• Collective modes of doped graphene and a standard 2DEG in a strong magnetic field: linear magneto-plasmons versus magneto-excitons
• Intrinsic plasmons in 2D Dirac materials
• Magnetoplasmons in layered graphene structures
• Screening Charged Impurities and Lifting the Orbital Degeneracy in Graphene by Populating Landau Levels
• Dynamical polarization of monolayer graphene in a magnetic field
• Smearing of the 2D Kohn anomaly in a nonquantizing magnetic field: Implications for the interaction effects

Cited by in corpus (5)

• Many-body effects of Coulomb interaction on Landau levels in graphene
• Polarizability, plasmons, and screening in 1T${}^{\prime }$-MoS${}_2$ with tilted Dirac bands
• Many-body filling-factor dependent renormalization of Fermi velocity in graphene in strong magnetic field
• Many-body renormalization of Landau levels in graphene due to screened Coulomb interaction
• Plasmon damping rates in Coulomb-coupled two-dimensional layers in a heterostructure