Interface Landau levels in graphene monolayer-bilayer junction

TL;DR

This paper investigates the electronic structure of graphene monolayer-bilayer junctions in a magnetic field, revealing interface Landau levels that produce characteristic local density of states features, independent of boundary type.

Contribution

It introduces the concept of interface Landau levels in graphene junctions and analyzes their properties across different boundary configurations.

Findings

Interface Landau levels are flat bands near the boundary.

Local density of states exhibits a Kekulé pattern in armchair boundaries.

Energy spectra are boundary-type independent.

Abstract

Electronic structure of graphene monolayer-bilayer junction in a magnetic field is studied within an effective-mass approximation. The energy spectrum is characterized by interface Landau levels, i.e., the locally flat bands appearing near the boundary region, resulting in a series of characteristic peaks in the local density of states. Their energies are independent of boundary types such as zigzag or armchair. In the atomic scale, the local density of states shows a Kekul\'{e} pattern due to the valley mixing in the armchair boundary, while does not in the zigzag boundary.