Chiral decomposition in the electronic structure of graphene multilayers

2007/11/30 by Hongki Min, A. H. MacDonald · 4 citations
Materials Science · Physics and Astronomy · #Graphene research and applications #Quantum and electron transport phenomena #Topological Materials and Phenomena #cond-mat.mes-hall #cond-mat.str-el

paper · pdf · doi:10.1103/physrevb.77.155416

published as Phys. Rev. B 77, 155416 (2008) · 5 pages, 5 figures; QHE eq corrected; added figure 4 and updated discussion

arxiv created 2008/04/10 · openalex publication_date 2008/04/10 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We show that the low-energy electronic structure of arbitrarily stacked graphene multilayers with nearest-neighbor interlayer tunneling consists of chiral pseudospin doublets. Although the number of doublets in an N-layer system depends on the stacking sequence, the pseudospin chirality sum is always N. N-layer stacks have N distinct Landau levels at E=0 for each spin and valley, and quantized Hall conductivity \ensuremathσ_xy=\ifmmode±\else\textpm\fi(4e²∕h)(N∕2+n), where n is a non-negative integer.

Citations

• Modern Quantum Mechanics
• The Focusing of Electron Flow and a Veselago Lens in Graphene p-n Junctions
• Electric Field Effect in Atomically Thin Carbon Films
• Quantum Hall Ferromagnetism in Graphene
• Ultrathin Epitaxial Graphite: 2D Electron Gas Properties and a Route toward Graphene-based Nanoelectronics

Cited by

• Electronic Structure of Multilayer Graphene
• Large Berry phases in layered graphene
• Multiband tunneling in trilayer graphene
• Optical Hall conductivity of systems with gapped spectral nodes