Quantum Hall Effect in Trilayer Graphene

Abstract

Graphene is a two-dimensional sheet of carbon atoms with properties that are superior to other materials. Due to these superior properties, a lot of research is being done with this material. One of those properties is the Quantum Hall Effect (QHE). Monolayer graphene shows very interesting behaviour in the presence of a high magneticfield (up to 30T) and at very low temperature (∼0.2K). Its unconventional Landau Level (LL) spectrum of massless Diracfermions leads to a new type of quantum Hall effect, known as half-integer quantum Hall effect or anomalous QHE. We expect uniqueresults can also be seen in trilayer graphene (TLG).In this work, we study the integer quantum Hall effect in trilayer graphene theoretically.