Spontaneous quantum Hall states and novel Luttinger liquids in chiral graphene

Fan Zhang, Jeil Jung, Allan H. MacDonald

Research output: Contribution to journalConference articlepeer-review

8 Scopus citations

Abstract

Chirally stacked neutral N-layer graphene systems with N ≥ 2 exhibit spontaneous inversion symmetry breaking and interaction induced charge gaps due to interlayer exchange interactions. A variety of distinct broken symmetry states are distinguished by their charge, spin, and valley Hall conductivities, by their orbital magnetizations, and by their edge state properties. In the spinless case, quantum anomalous and valley Hall states are favored by a weak magnetic field and by an electric field between the graphene layers, respectively. At interfaces between different phases one dimensional gapless modes exhibit novel Luttinger liquid behaviors.

Original languageEnglish
Article number012002
JournalJournal of Physics: Conference Series
Volume334
Issue number1
DOIs
StatePublished - 2011
Event19th International Conference on the Application of High Magnetic Fields in Semiconductor Physics and Nanotechnology, HMF-19 - Fukuoka, Japan
Duration: 1 Aug 20106 Aug 2010

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