Hund's Rules for the N=0 Landau Levels of Trilayer Graphene

TL;DR

This paper investigates the N=0 Landau levels in trilayer graphene, analyzing how interactions lift degeneracies and produce quantum Hall effects, with implications for identifying stacking order.

Contribution

It provides a comparative analysis of the quantum Hall physics in ABC and ABA trilayer graphene, highlighting differences useful for experimental identification.

Findings

Degeneracy lifting leads to strong quantum Hall effects at all integer fillings.

Differences between ABC and ABA stacking can be used to determine stacking order.

Insights into the effects of magnetic field and disorder on trilayer graphene.

Abstract

The N=0 Landau levels of ABC and ABA trilayer graphene both have approximate 12-fold degeneracies that are lifted by interactions to produce strong quantum Hall effects (QHE) at all integer filling factors between nu=-6 and nu=6. We discuss similarities and differences between the strong-magnetic-field weak-disorder physics of the two trilayer cases, and between trilayer and bilayer cases. These differences can be used to identify the stacking order of high-quality trilayer samples by studying their quantum Hall effects.