Landau levels in bilayer transition metal dichalcogenides

The quantum binary system at low temperature is not limited to only spin, but that of valley and layer degrees of freedom as well. A prime example is bilayer transition metal dichalcogenide (TMD). Here we examine the Landau level structure of bilayer TMD. We show how the interlayer electric field and the magnetic Zeeman field couple and control the layer and valley pseudospins, respectively, thereby tuning the Landau levels. To understand the underlaying mechanics, we develop an effective model accurate within the experimental range to model and analyze the results. Our work sheds a new light on the quantum Hall effects of atomically thin TMD's.