Dynamical polarization in ABC-stacked multilayer graphene in a magnetic field

Abstract

In the continuum low energy model, we calculate the one-loop dynamical polarization functions in ABC-stacked (rhombohedral) $n$-layer graphene in a magnetic field. Neglecting the trigonal warping effects, they are derived as functions of wavevector and frequency at finite chemical potential, temperature, band gap, and the width of Landau levels. The analytic results are given in terms of digamma functions and generalized Laguerre polynomials and have the form of double sums over Landau levels. Various particular limits for polarization functions (static, clean, etc.) are discussed. The intralayer and interlayer screened Coulomb potentials are numerically calculated as functions of momentum and frequency.

17 pages, 7 figures, small changes, to match the version published in PRB

References in corpus (11)

• Electronic states and Landau levels in graphene stacks
• Band Structure of ABC-Stacked Graphene Trilayers
• Chiral Decomposition in the Electronic Structure of Graphene Multilayers
• Pseudospin Magnetism in Graphene
• Local Compressibility Measurements of Correlated States in Suspended Bilayer Graphene
• Transport studies of dual-gated ABC and ABA trilayer graphene: band gap opening and band structure tuning in very large perpendicular electric field
• Electric transport and magnetic properties in multilayer graphene
• Dynamical polarization of monolayer graphene in a magnetic field
• Dynamics and phase diagram of the $\nu =0$ quantum Hall state in bilayer graphene
• Ferromagnetism in ABC-trilayer graphene
• Phase diagram of insulating crystal and quantum Hall states in ABC-stacked trilayer graphene