Effects of transverse electric fields on Landau subbands in bilayer zigzag graphene nanoribbons

Abstract

The magnetoelectronic properties of quasi-one-dimensional zigzag graphene nanoribbons are investigated by using the Peierls tight-binding model. Quasi-Landau levels (QLLs), dispersionless Landau subbands within a certain region of k-space, are resulted from the competition between magnetic and quantum confinement effects. In bilayer system, the interlayer interactions lead to two groups of QLLs, one occurring at the Fermi level and the other one occurring at higher energies. Transverse electric fields are able to distort energy spectrum, tilt two groups of QLLs and cause semiconductor-metal transition. From the perspective of wave functions, the distribution of electrons is explored, and the evolution of Landau states under the influence of electric fields is clearly discussed. More interestingly, the band mixing phenomena exhibited in the energy spectrum are related to the state mixing, which can be apparently seen in the wave functions. The density of states, which could be verified through surface inspections and optical experiments, such as scanning tunneling spectroscopy and absorption spectroscopy, is provided at last.

References in corpus (5)

• Electric Field Effect in Atomically Thin Carbon Films
• The electronic properties of graphene
• Energy Gaps in Graphene Nanoribbons
• Andreev reflection and Klein tunneling in graphene
• Evidence of Klein tunneling in graphene p-n junctions

Cited by in corpus (8)

• Electronic and optical properties of graphene nanoribbons in external fields
• Modulation of bandgap in bilayer armchair graphene ribbons by tuning vertical and transverse electric fields
• Magnetoelectronic and optical properties of nonuniform graphene nanoribbons
• Landau quantization in buckled monolayer GaAs
• Electric gating induced bandgaps and enhanced Seebeck effect in zigzag bilayer graphene ribbons
• Enhancement of the Seebeck effect in bilayer armchair graphene nanoribbons by tuning the electric fields
• Na-intercalation compounds and Na-ion batteries
• Decoration of graphene nanoribbons by $5d$ transition-metal elements